Academic literature on the topic 'Nonlinear Schr??dinger equation'
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Journal articles on the topic "Nonlinear Schr??dinger equation"
Previato, Emma. "nonlinear Schr�dinger equation." Duke Mathematical Journal 52, no. 2 (June 1985): 329–77. http://dx.doi.org/10.1215/s0012-7094-85-05218-4.
Full textLi Xiang-Zheng, Zhang Jin-Liang, Wang Yue-Ming, and Wang Ming-Liang. "Envelope solutions to nonlinear Schr?dinger equation." Acta Physica Sinica 53, no. 12 (2004): 4045. http://dx.doi.org/10.7498/aps.53.4045.
Full textKulish, P. P. "Quantum OSP-invariant nonlinear Schr�dinger equation." Letters in Mathematical Physics 10, no. 1 (July 1985): 87–93. http://dx.doi.org/10.1007/bf00704591.
Full textIts, A. R., A. V. Rybin, and M. A. Sall'. "Exact integration of nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 74, no. 1 (January 1988): 20–32. http://dx.doi.org/10.1007/bf01018207.
Full text林, 学好. "Difference Scheme of Nonlinear Schr?dinger Equation." Pure Mathematics 11, no. 04 (2021): 496–502. http://dx.doi.org/10.12677/pm.2021.114063.
Full textVladimirov, V. S., and I. V. Volovich. "P-adic Schr�dinger-type equation." Letters in Mathematical Physics 18, no. 1 (July 1989): 43–53. http://dx.doi.org/10.1007/bf00397056.
Full textLebowitz, Joel L., Harvey A. Rose, and Eugene R. Speer. "Statistical mechanics of the nonlinear Schr�dinger equation." Journal of Statistical Physics 50, no. 3-4 (February 1988): 657–87. http://dx.doi.org/10.1007/bf01026495.
Full textChopik, V. I. "Non-Lie reduction of nonlinear Schr�dinger equation." Ukrainian Mathematical Journal 43, no. 11 (November 1991): 1396–400. http://dx.doi.org/10.1007/bf01067277.
Full textGr�bert, B., and T. Kappeler. "Perturbations of the Defocusing Nonlinear Schr�dinger Equation." Milan Journal of Mathematics 71, no. 1 (September 1, 2003): 141–74. http://dx.doi.org/10.1007/s00032-002-0018-2.
Full textBibikov, P. N., and V. O. Tarasov. "Boundary-value problem for nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 79, no. 3 (June 1989): 570–79. http://dx.doi.org/10.1007/bf01016541.
Full textDissertations / Theses on the topic "Nonlinear Schr??dinger equation"
Grice, Glenn Noel Mathematics UNSW. "Constant speed flows and the nonlinear Schr??dinger equation." Awarded by:University of New South Wales. Mathematics, 2004. http://handle.unsw.edu.au/1959.4/20509.
Full textAydin, Ayhan. "Geometric Integrators For Coupled Nonlinear Schrodinger Equation." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605773/index.pdf.
Full textdinger equations (CNLSE). Energy, momentum and additional conserved quantities are preserved by the multisymplectic integrators, which are shown using modified equations. The multisymplectic schemes are backward stable and non-dissipative. A semi-explicit method which is symplectic in the space variable and based on linear-nonlinear, even-odd splitting in time is derived. These methods are applied to the CNLSE with plane wave and soliton solutions for various combinations of the parameters of the equation. The numerical results confirm the excellent long time behavior of the conserved quantities and preservation of the shape of the soliton solutions in space and time.
Moşincat, Răzvan Octavian. "Well-posedness of the one-dimensional derivative nonlinear Schrödinger equation." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/33244.
Full textOzdemir, Sevilay. "Bose-einstein Condensation At Lower Dimensions." Master's thesis, METU, 2004. http://etd.lib.metu.edu/upload/755959/index.pdf.
Full textMugassabi, Souad. "Schrödinger equation with periodic potentials." Thesis, University of Bradford, 2010. http://hdl.handle.net/10454/4895.
Full textKeister, Adrian Clark. "On the Eigenvalues of the Manakov System." Diss., Virginia Tech, 2007. http://hdl.handle.net/10919/28169.
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Koca, Burcu. "Studies On The Perturbation Problems In Quantum Mechanics." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12604930/index.pdf.
Full textodinger equation have been treated perturbatively in both finite and infinite intervals, corresponding to confined and non-confined systems, respectively.
Alici, Haydar. "Pseudospectral Methods For Differential Equations: Application To The Schrodingertype Eigenvalue Problems." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/1086198/index.pdf.
Full textdinger eigenvalue equation with several potentials. A discussion of the numerical results and comparison with other methods are then introduced to deduce the effciency of the method.
Alici, Haydar. "A General Pseudospectral Formulation Of A Class Of Sturm-liouville Systems." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612435/index.pdf.
Full textdinger form may be transformed into a more tractable form. This tractable form will be called here a weighted equation of hypergeometric type with a perturbation (WEHTP) since the non-weighted and unperturbed part of it is known as the equation of hypergeometric type (EHT). It is well known that the EHT has polynomial solutions which form a basis for the Hilbert space of square integrable functions. Pseudospectral methods based on this natural expansion basis are constructed to approximate the eigenvalues of WEHTP, and hence the energy eigenvalues of the Schrö
dinger equation. Exemplary computations are performed to support the convergence numerically.
Bucurgat, Mahmut. "Study Of One Dimensional Position Dependent Effective Mass Problem In Some Quantum Mechanical Systems." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/2/12609405/index.pdf.
Full textdinger equation for some well known potentials, such as the deformed Hulthen, the Mie, the Kratzer, the pseudoharmonic, and the Morse potentials. Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions exactly. By introducing a free parameter in the transformation of the wave function, the position dependent effective mass problem is reduced to the solution of the Schrö
dinger equation for the constant mass case. At the same time, the deformed Hulthen potential is solved for the position dependent effective mass case by applying the method directly. The Morse potential is also solved for a mass distribution function, such that the solution can be reduced to the constant mass case.
Books on the topic "Nonlinear Schr??dinger equation"
Kevrekidis, Panayotis G. The Discrete Nonlinear Schr Dinger Equation. Springer, 2009.
Find full textBook chapters on the topic "Nonlinear Schr??dinger equation"
"The Nonlinear Schr√∂odinger's Equation." In Chapman & Hall/CRC Applied Mathematics & Nonlinear Science, 7–26. Chapman and Hall/CRC, 2006. http://dx.doi.org/10.1201/9781420011401.ch2.
Full text"On the Schr√∂dinger Equation of the Helium Atom." In V.A. Fock - Selected Works, 525–38. CRC Press, 2004. http://dx.doi.org/10.1201/9780203643204.ch15a.
Full text"On the Relation between the Integrals of the Quantum Mechanical Equations of Motion and the Schr√∂dinger Wave Equation." In V.A. Fock - Selected Works, 33–50. CRC Press, 2004. http://dx.doi.org/10.1201/9780203643204.ch2b.
Full textConference papers on the topic "Nonlinear Schr??dinger equation"
Tiu, Zian Cheak, Harith Ahmad, and Sulaiman Wadi Harun. "Generation of Cubic-Quintic nonlinear schrödinger equation dark pulse." In 2015 11th Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR). IEEE, 2015. http://dx.doi.org/10.1109/cleopr.2015.7376108.
Full textChang, Der-Chen, Stephen S. T. Yau, and Ke-Pao Lin. "Schrödinger equation with quartic potential and nonlinear filtering problem." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5400128.
Full textYouying Wang and Jingsong He. "Singular solution of the variable coefficient nonlinear Schrödinger equation." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002444.
Full textShahzad, Asim, and M. Zafrullah. "Solitons Interaction and their Stability Based on Nonlinear Schrödinger Equation." In 2009 Second International Conference on Machine Vision. IEEE, 2009. http://dx.doi.org/10.1109/icmv.2009.38.
Full textGao Zheng-hui, Luo Li-ping, and Yang Liu. "Bifurcations and exact traveling wave solutions of nonlinear Schrödinger equation." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002536.
Full textGorza, S. P., Ph Emplit, and M. Haelterman. "Modulational instability of bright solitons of the hyperbolic nonlinear Schrödinger equation." In 11th European Quantum Electronics Conference (CLEO/EQEC). IEEE, 2009. http://dx.doi.org/10.1109/cleoe-eqec.2009.5192281.
Full textXiaoli Jiang, Xuemei Wang, and Runzhang Xu. "Nonlinear Schrödinger equation with combined power-type nonlinearities and harmonic potential." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002665.
Full textBaronio, F., M. Conforti, S. Wabnitz, and A. Degasperis. "Rogue waves of the vector nonlinear Schrödinger equations." In 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC. IEEE, 2013. http://dx.doi.org/10.1109/cleoe-iqec.2013.6801960.
Full textFermo, Luisa, Cornelis van der Mee, and Sebastiano Seatzu. "Numerical solution of the direct scattering problem for the nonlinear Schrödinger equation." In 2015 Tyrrhenian International Workshop on Digital Communications (TIWDC). IEEE, 2015. http://dx.doi.org/10.1109/tiwdc.2015.7323323.
Full textPhibanchon, Sarun, and Michael A. Allen. "Numerical Solutions of the Nonlinear Schrödinger Equation with a Square Root Nonlinearity." In 2010 International Conference on Computational Science and Its Applications. IEEE, 2010. http://dx.doi.org/10.1109/iccsa.2010.68.
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