Relevant bibliographies by topics / Multi-Mode non-Linear Schrödinger equation

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Multi-Mode non-Linear Schrödinger equation'

Author: Grafiati
Published: 26 October 2024
Last updated: 30 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Multi-Mode non-Linear Schrödinger equation.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Multi-Mode non-Linear Schrödinger equation"

1

BOGOLUBOV, N. N., M. Yu. RASULOVA, and I. A. TISHABOEV. "QUANTUM DYNAMICS OF TWO-LEVEL ATOMS INTERACTING WITH AN ELECTROMAGNETIC FIELD." International Journal of Modern Physics B 28, no. 08 (2014): 1450060. http://dx.doi.org/10.1142/s021797921450060x.

Full text
Abstract:
We consider the dynamics of a system consisting of N two-level atoms interacting with a multi-mode cavity field. For the given system, the generalized kinetic equation (GKE) is obtained and conditions are given under which its solution is reduced to solution of a linear equation, and of the one-dimensional nonlinear Schrödinger equation, respectively.
APA, Harvard, Vancouver, ISO, and other styles
2

Misra, Shikha, Sanjay K. Mishra, and P. Brijesh. "Coaxial propagation of Laguerre–Gaussian (LG) and Gaussian beams in a plasma." Laser and Particle Beams 33, no. 1 (2015): 123–33. http://dx.doi.org/10.1017/s0263034615000142.

Full text
Abstract:
AbstractThis paper investigates the non-linear coaxial (or coupled mode) propagation of Laguerre–Gaussian (LG) (in particular L01 mode) and Gaussian electromagnetic (em) beams in a homogeneous plasma characterized by ponderomotive and relativistic non-linearities. The formulation is based on numerical solution of non-linear Schrödinger wave equation under Jeffreys–Wentzel–Kramers–Brillouin approximation, followed by paraxial approach applicable in the vicinity of intensity maximum of the beams. A set of coupled differential equations for spot size (beam width) and phase evolution with space co
APA, Harvard, Vancouver, ISO, and other styles
3

Sakhabutdinov, Airat Zh, Vladimir I. Anfinogentov, Oleg G. Morozov, et al. "Numerical Method for Coupled Nonlinear Schrödinger Equations in Few-Mode Fiber." Fibers 9, no. 1 (2021): 1. http://dx.doi.org/10.3390/fib9010001.

Full text
Abstract:
This paper discusses novel approaches to the numerical integration of the coupled nonlinear Schrödinger equations system for few-mode wave propagation. The wave propagation assumes the propagation of up to nine modes of light in an optical fiber. In this case, the light propagation is described by the non-linear coupled Schrödinger equation system, where propagation of each mode is described by own Schrödinger equation with other modes’ interactions. In this case, the coupled nonlinear Schrödinger equation system (CNSES) solving becomes increasingly complex, because each mode affects the propa
APA, Harvard, Vancouver, ISO, and other styles
4

Zhu, Junyan, Jiang Cao, Chen Song, Bo Li, and Zhengsheng Han. "Numerical investigation on the convergence of self-consistent Schrödinger-Poisson equations in semiconductor device transport simulation." Nanotechnology 35, no. 31 (2024): 315001. http://dx.doi.org/10.1088/1361-6528/ad4558.

Full text
Abstract:
Abstract Semiconductor devices at the nanoscale with low-dimensional materials as channels exhibit quantum transport characteristics, thereby their electrical simulation relies on the self-consistent solution of the Schrödinger-Poisson equations. While the non-equilibrium Green’s function (NEGF) method is widely used for solving this quantum many-body problem, its high computational cost and convergence challenges with the Poisson equation significantly limit its applicability. In this study, we investigate the stability of the NEGF method coupled with various forms of the Poisson equation, en
APA, Harvard, Vancouver, ISO, and other styles
5

Dabas, Bhawana, Jivesh Kaushal, Monika Rajput, and R. K. Sinha. "Study of Self Phase Modulation in Chalcogenide Glass Photonic Crystal Fiber." Applied Mechanics and Materials 110-116 (October 2011): 53–56. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.53.

Full text
Abstract:
In this paper, Self Phase Modulation (SPM) in chalcogenide As2Se3glass Photonic Crystal Fiber (PCF) is numerically studied by combining the fully vectorial effective index method (FVEIM) and Split Step Fourier Method (SSFM). The FVEIM is used to calculate the variation of effective refractive index of guided mode (neff), effective area (Aeff), dispersion and non-linear coefficient (γ) with wavelength for different designs of chalcogenide As2Se3PCF. The FVEIM solves the vector wave equations and SSFM solves non linear Schrödinger Equation (NLSE) for the different designing parameter of As2Se3PC
APA, Harvard, Vancouver, ISO, and other styles
6

Niedda, Jacopo, Luca Leuzzi, and Giacomo Gradenigo. "Intensity pseudo-localized phase in the glassy random laser." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 5 (2023): 053302. http://dx.doi.org/10.1088/1742-5468/acd2c4.

Full text
Abstract:
Abstract Evidence of an emergent pseudo-localized phase characterizing the low-temperature replica symmetry breaking phase of the complex disordered models for glassy light is provided in the mode-locked random laser model. A pseudo-localized phase corresponds to a state in which the intensity of light modes is neither equipartited among all modes nor strictly condensed on few of them. Such a hybrid phase, recently characterized as a finite size effect in other models, such as the discrete non-linear Schrödinger equation, in the low temperature phase of the glassy random laser appears to be ro
APA, Harvard, Vancouver, ISO, and other styles
7

Jahan, Sharmin, Rubaiya Khondoker Shikha, Abdul Mannan, and A. A. Mamun. "Modulational Instability of Ion-Acoustic Waves in Pair-Ion Plasma." Plasma 5, no. 1 (2021): 1–11. http://dx.doi.org/10.3390/plasma5010001.

Full text
Abstract:
The modulational instability (MI) of ion-acoustic waves (IAWs) is examined theoretically in a four-component plasma system containing inertialess electrons featuring a non-thermal, non-extensive distribution, iso-thermal positrons, and positively as well as negatively charged inertial ions. In this connection, a non-linear Schrödinger equation (NLSE), which dominates the conditions for MI associated with IAWs, is obtained by using the reductive perturbation method. The numerical analysis of the NLSE reveals that the increment in non-thermality leads to a more unstable state, whereas the enhanc
APA, Harvard, Vancouver, ISO, and other styles
8

Odegov, N. A., and I. S. Baleyev. "A NUMERICAL-ANALYTICAL METHOD FOR THE SYNTHESIS OF OPTIMAL IRREGULAR DWDM FREQUENCY PLANS." Proceedings of the O.S. Popov ОNAT 1, no. 2 (2020): 70–81. http://dx.doi.org/10.33243/2518-7139-2020-1-2-70-81.

Full text
Abstract:
The possibilities of increasing the throughput of fiber-optic transmission systems by using an uneven frequency grid are investigated. In this case, the bandwidth of each channel is selected so that the transmission rate is the same for all channels. In this work, both linear and some nonlinear effects are taken into account, leading to the distortion of the optical pulse. Simulation of nonlinear effects is based on a model in the form of a generalized nonlinear Schrödinger equation. The developed program provides modeling of linear and nonlinear distortions for the DWDM range (from 1460 to 16
APA, Harvard, Vancouver, ISO, and other styles
9

REZNIK, G. M., V. ZEITLIN, and M. BEN JELLOUL. "Nonlinear theory of geostrophic adjustment. Part 1. Rotating shallow-water model." Journal of Fluid Mechanics 445 (October 16, 2001): 93–120. http://dx.doi.org/10.1017/s002211200100550x.

Full text
Abstract:
We develop a theory of nonlinear geostrophic adjustment of arbitrary localized (i.e. finite-energy) disturbances in the framework of the non-dissipative rotating shallow-water dynamics. The only assumptions made are the well-defined scale of disturbance and the smallness of the Rossby number Ro. By systematically using the multi-time-scale perturbation expansions in Rossby number it is shown that the resulting field is split in a unique way into slow and fast components evolving with characteristic time scales f−10 and (f0Ro)−1 respectively, where f0 is the Coriolis parameter. The slow compone
APA, Harvard, Vancouver, ISO, and other styles
10

Muhammad, Zahid, Ubaid Ullah Khalil, Anees Khan, Tanweer Ahmed, Waqas Khan, and Samra Naz. "Design Optimization of Fiber Laser for Generation of Femtosecond Optical Pulses." Scholars Journal of Physics, Mathematics and Statistics 11, no. 08 (2024): 89–100. http://dx.doi.org/10.36347/sjpms.2024.v11i08.002.

Full text
Abstract:
The precise coordination of dispersion management, temperature control, mode-locking mechanisms, and gain medium qualities are required in the design and optimization of fiber laser cavities for the generation of femtosecond pulses. The performance and capacities of femtosecond fiber lasers are being enhanced by developments in these fields, opening up new uses for them. The main focus of this research work was to design a lasing cavity for the generation of femtosecond optical pulses. So, we designed a laser cavity having six segments with a total length of 5.4 meters. The first segment is a
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Multi-Mode non-Linear Schrödinger equation"

1

Nguyen, Tien Vinh. "Construction of dynamics with strongly interacting for non-linear dispersive PDE (Partial differential equation)." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX024/document.

Full text
Abstract:
Cette thèse est consacrée à l’étude des propriétés dynamiques des solutions de type soliton d'équations aux dérivées partielles (EDP) dispersives non linéaires. `A travers des exemples-type de telles équations, l'équation de Schrödinger non-linéaire (NLS), l'équation de Korteweg-de Vries généralisée (gKdV) et le système de Schrödinger, on traite du comportement des solutions convergeant en temps grand vers des sommes de solitons (multi-solitons). Dans un premier temps, nous montrons que dans une configuration symétrique, avec des interactions fortes, le comportement de séparation des solitons
APA, Harvard, Vancouver, ISO, and other styles
2

Gaudillat, Valentine. "Étude du mélange à quatre ondes sensible à la phase dans les fibres faiblement multimodes." Electronic Thesis or Diss., Université de Rennes (2023-....), 2024. http://www.theses.fr/2024URENS028.

Full text
Abstract:
Au cours des dernières années, le besoin en débit des télécommunications a considérablement augmenté. Pour maintenir une avance significative, il est essentiel d’améliorer les réseaux existants et de développer de nouvelles infrastructures plus performantes. Ainsi, les réseaux du futur pourraient être constitués de fibre faiblement multimode afin d’augmenter le nombre de canaux indépendants dans une même fibre. Il faudrait alors transférer les fonctions optiques déjà démontrées dans les réseaux actuels telles que la conversion de fréquence ou la régénération de phase. Cette thèse étudie numéri
APA, Harvard, Vancouver, ISO, and other styles
3

Sun, Ruoci. "Comportement en grand temps et intégrabilité de certaines équations dispersives sur l'espace de Hardy Long time behavior of the NLS-Szegö equation Traveling waves of the quintic focusing NLS-Szegö equation Complete integrability of the Benjamin-Ono equation on the multi-soliton manifolds." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASS111.

Full text
Abstract:
On s'intéresse dans cette thèse à trois modèles d'équations hamiltoniennes dispersives non linéaires : l'équation de Schrödinger cubique défocalisante sur le cercle, filtrée par le projecteur de Szegö, qui enlève tous les modes de Fourier strictement négatifs (NLS--Szegö cubique), l'équation de Schrödinger quintique focalisante filtrée par le projecteur de Szegö sur la droite (NLS--Szegö quintique) et l'équation de Benjamin--Ono (BO) sur la droite. Comme pour les deux modèles précédents, l'équation de BO peut encore s'écrire sous la forme d'une équation de Schrödinger quadratique filtrée par l
APA, Harvard, Vancouver, ISO, and other styles
4

Gherdaoui, Theo. "Contrôle de systèmes non linéaires multi-commandés." Electronic Thesis or Diss., Université de Rennes (2023-....), 2025. http://www.theses.fr/2025URENE002.

Full text
Abstract:
Cette thèse est consacrée à l’étude des relations entre la contrôlabilité exacte des EDP non linéaires et la théorie du contrôle des EDO basée sur les crochets de Lie. Notre analyse est centrée sur la contrôlabilité des systèmes affines en dimension finie et de l’équation de Schrödinger sur un intervalle borné, avec des conditions de bord de Dirichlet et des contrôles bilinéaires. On étudie plus précisément la contrôlabilité locale en temps petit (STLC) autour d’un équilibre lorsque le système linéarisé n’est pas contrôlable en examinant le rôle du terme quadratique du développement de la solu
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Multi-Mode non-Linear Schrödinger equation"

1

Levin, Frank S. Quantum Boxes, Stringed Instruments. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0008.

Full text
Abstract:
Chapter 7 illustrates the results obtained by applying the Schrödinger equation to a simple pedagogical quantum system, the particle in a one-dimensional box. The wave functions are seen to be sine waves; their wavelengths are evaluated and used to calculate the quantized energies via the de Broglie relation. An energy-level diagram of some of the energies is constructed; on it are illustrations of the corresponding wave functions and probability distributions. The wave functions are seen to be either symmetric or antisymmetric about the midpoint of the line representing the box, thereby provi
APA, Harvard, Vancouver, ISO, and other styles
2

Horing, Norman J. Morgenstern. Superfluidity and Superconductivity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0013.

Full text
Abstract:
Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Multi-Mode non-Linear Schrödinger equation"

1

Carretero-González, R., D. J. Frantzeskakis, and P. G. Kevrekidis. "Multi-Component Systems." In Nonlinear Waves & Hamiltonian Systems. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780192843234.003.0027.

Full text
Abstract:
Abstract This chapter consists of several vignettes that illustrate some of the main features of multi-component solitary waves. These are developed in one of their most prototypical forms, namely in two-component dark-bright solitary waves of so-called Manakov (vector generalizations of the) nonlinear Schrödinger equation and non-integrable variants thereof. The special symmetries of the specific Manakov limit are leveraged in order to obtain further intriguing dynamical waveforms, such as the recently observed (in atomic BECs) dark-dark solitary waves. We also extend our considerations to th
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Multi-Mode non-Linear Schrödinger equation"

1

Paré, C., M. Florjanczyk, and P. A. Bélanger. "Variational model of soliton interaction in two-mode fibers." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thy20.

Full text
Abstract:
All-optical switching in a nonlinear directional coupler and the evolution of the state of polarization in a nonlinear biréfringent fiber represent two important practical problems of propagation in a two-mode, nonlinear dispersive system. Both cases are described by a nonintegrable system of coupled nonlinear Schrödinger equations. On the basis of numerical simulations,1 it has already been shown that solitons present important advantages over differently shaped pulses. To improve our physical insight into the dynamics resulting from the complex interplay between nonlinearity (self- and cross
APA, Harvard, Vancouver, ISO, and other styles
2

Kaplan, A. E. "Bistable Optical Solitons." In Optical Bistability. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/obi.1988.wb.3.

Full text
Abstract:
We showed recently [1] that a single soliton solution of the highly-nonlinear Schrödinger equation becomes multi-stable for a certain class of nonlinearities. This implies that more than one amplitude profile and propagation constant of a single soliton may exist for the same total power carried by the soliton. The multistable solitons exist only if the nonlinear component of the susceptibility as a function of intensity is either changing its sign or its derivative has a sufficiently sharp peak. This can result in such effects as bistable (or multistable, in general) self-trapping of light in
APA, Harvard, Vancouver, ISO, and other styles
3

Hoang, Van-Hung, and Uwe Thumm. "Strong-field-driven dissociation dynamics in CO2+." In Frontiers in Optics. Optica Publishing Group, 2023. http://dx.doi.org/10.1364/fio.2023.jtu5a.79.

Full text
Abstract:
We investigate strong-field XUV-IR pump-probe dissociative ionization of CO2 by solving the Schrödinger equation for the nuclear motion in full dimensionality on the lowest five coupled Oppenheimer (BO) potential-energy surfaces. Applying a multi-configurational self-consistent-field quantum-chemistry code to calculate ab initio non-BO, laser dipole, and spin-orbit couplings between adiabatic electronic states, we provide kinetic energy release (KER) spectra for the O(3Pg) + CO+( X2Σ+) and O+(4Su) + CO(X1Σ+) dissociation channels and their branching ratio. Our KER spectra identify the vibratio
APA, Harvard, Vancouver, ISO, and other styles
4

De Rossi, Alfredo, Claudio Conti, and Stefano Trillo. "Stability criterion and multistability of Kerr-like gap solitons." In Nonlinear Guided Waves and Their Applications. Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.ntha.5.

Full text
Abstract:
It is well-known that periodic Bragg structures induce gaps in the linear dispersion relation where the propagation is forbidden. Thanks to the nonlinearity, the e.m. energy can be localized at these frequencies in the form of gap solitons [1-5]. Their most intriguiging feature is the possibility to travel with velocities much slower than the light velocity, or remarkably even at zero velocity (stationary trapping) in the limit case. Propagation of slow solitonic envelopes was recently demonstrated experimentally operating near Bragg wavelength of a fiber grating [5]. However no experimental d
APA, Harvard, Vancouver, ISO, and other styles
5

Yim, Solomon C., Alfred R. Osborne, and Ali Mohtat. "Nonlinear Ocean Wave Models and Laboratory Simulation of High Seastates and Rogue Waves." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62706.

Full text
Abstract:
With the increasing demand for marine structures, including ships and wave energy devices, to operate in energetic, high seastates, the need for modeling and simulation of nonlinear ocean wave fields in large-scale wave basins is becoming essential. In response to this demand, a number of large-scale wave basins have been placed into operation over the years and larger and more sophisticated new ones are under planning and construction. In this article, the current state of practice and technical issues in modeling and simulation of high seastate ocean waves are summarized. A novel methodology
APA, Harvard, Vancouver, ISO, and other styles
6

Petela, G., and K. K. Botros. "Magnetic Bearing Control of Flexible Shaft Vibrations Based on Multiaccess Velocity-Displacement Feedback." In ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/93-gt-294.

Full text
Abstract:
A model of the forced vibrations of a flexible, asymmetric and unbalanced shaft, supported by two magnetic bearings is derived to simulate the effect of different schemes of active control on shaft dynamic behaviour. Simulation results were compared for several cases of single and multi-access bearing controls, rigid-body-mode only and rigid with flexible mode control, and linear and non-linear bearing responses. It is shown that the multi-access bearing response calculated from the known equation of the stable ROCL (Reduced Order Closed Loop) and based on the direct velocity-displacement feed
APA, Harvard, Vancouver, ISO, and other styles
7

Xu, Chao, Pinaki Pal, Xiao Ren, et al. "Numerical Investigation of Fuel Property Effects on Mixed-Mode Combustion in a Spark-Ignition Engine." In ASME 2019 Internal Combustion Engine Division Fall Technical Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/icef2019-7265.

Full text
Abstract:
Abstract In the present study, mixed-mode combustion of an E30 fuel in a direct-injection spark-ignition engine is numerically investigated at a fuel-lean operating condition using multidimensional computational fluid dynamics (CFD). A fuel surrogate matching Research Octane Number (RON) and Motor Octane Number (MON) of E30 is first developed using neural network based non-linear regression model. To enable efficient 3D engine simulations, a 164-species skeletal reaction mechanism incorporating NOx chemistry is reduced from a detailed chemical kinetic model. A hybrid approach that incorporates
APA, Harvard, Vancouver, ISO, and other styles
8

Dall'Aqua, Marcelo J., Emilio J. R. Coutinho, Eduardo Gildin, Zhenyu Guo, Hardik Zalavadia, and Sathish Sankaran. "Guided Deep Learning Manifold Linearization of Porous Media Flow Equations." In SPE Reservoir Simulation Conference. SPE, 2023. http://dx.doi.org/10.2118/212204-ms.

Full text
Abstract:
Abstract Integrated reservoir studies for performance prediction and decision-making processes are computationally expensive. In this paper, we develop a novel linearization approach to reduce the computational burden of intensive reservoir simulation execution. We achieve this by introducing two novel components: (1) augment the state-space to yield a bi-linear system, and (2) an autoencoder based on a deep neural network to linearize physics reservoir equations in a reduced manifold employing a Koopman operator. Recognizing that reservoir simulators execute expensive Newton-Raphson iteration
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Multi-Mode non-Linear Schrödinger equation' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography