Academic literature on the topic 'Solitary waves'

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Journal articles on the topic "Solitary waves"

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Chu, Jen-Ping, Patrick Lynett, and Mitul Luhar. "EXPERIMENTAL STUDY OF INTERNAL SOLITARY WAVES INTERACTION WITH SURFACE SOLITARY WAVES." Coastal Engineering Proceedings, no. 38 (May 29, 2025): 40. https://doi.org/10.9753/icce.v38.waves.40.

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Internal solitary waves (ISWs) consist of a non-periodic single-crest profile resulting from the balance between non-linearity and dispersion. They can be a significant source of momentum transport in any stratified systems, such as oceans and estuaries. Previous experiments have primarily utilized lock- release mechanisms to generate internal solitary waves in two-layer systems. This provides limited control over wave properties and limits its studies with barotropic wave interactions. The present effort attempts to validate the performance of a new wave generation method, termed the Jet Arra
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Fitzgerald, Richard J. "Interacting solitary waves." Physics Today 65, no. 11 (2012): 20. http://dx.doi.org/10.1063/pt.3.1777.

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Ignatov, A. M. "Magnetosonic Solitary Waves." Plasma Physics Reports 50, no. 5 (2024): 603–10. http://dx.doi.org/10.1134/s1063780x24600555.

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Abstract The set of equations is obtained that describes the nonlinear three-dimensional dynamics of magnetosonic waves. Plane solitary waves propagating at a small angle to the guiding magnetic field have been studied. Three-dimensional spatially localized waves have been qualitatively studied.
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Ignatov, A. M. "Magnetosonic solitary waves." Fizika plazmy 50, no. 5 (2024): 579–87. https://doi.org/10.31857/s0367292124050075.

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The set of equations is obtained that describes the nonlinear three-dimensional dynamics of magnetosonic waves. Plane solitary waves propagating at a small angle to the guiding magnetic field have been studied. Three-dimensional spatially localized waves have been qualitatively studied.
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Weidman, P. D., and R. Zakhem. "Cylindrical solitary waves." Journal of Fluid Mechanics 191, no. -1 (1988): 557. http://dx.doi.org/10.1017/s0022112088001703.

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Mason, Joanne, and Edgar Knobloch. "Solitary dynamo waves." Physics Letters A 355, no. 2 (2006): 110–17. http://dx.doi.org/10.1016/j.physleta.2006.02.013.

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Qureshi, M. N. S., Jian Kui Shi, and H. A. Shah. "Electrostatic Solitary Waves." Journal of Fusion Energy 31, no. 2 (2011): 112–17. http://dx.doi.org/10.1007/s10894-011-9439-7.

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Chen, X. N., and W. Maschek. "Nuclear solitary waves." PAMM 8, no. 1 (2008): 10489–90. http://dx.doi.org/10.1002/pamm.200810489.

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Weidman, P. D., and M. G. Velarde. "Internal Solitary Waves." Studies in Applied Mathematics 86, no. 2 (1992): 167–84. http://dx.doi.org/10.1002/sapm1992862167.

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Lo, Peter H. Y., Wen-Yu Chen, and Chun-Jui Huang. "LABORATORY EXPERIMENTS ON THE RUNUP OF LEADING-DEPRESSION N-WAVES." Coastal Engineering Proceedings, no. 38 (May 29, 2025): 14. https://doi.org/10.9753/icce.v38.waves.14.

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Real tsunamis often lead with a depression wave, causing coastal water level to lower before the main tsunami wave arrives and floods the coast. The widely used benchmark wave, the solitary wave, cannot capture this phenomenon, in addition to the many drawbacks in using the solitary wave as a model tsunami wave form (Madsen et al. 2008). Although alternative tsunami wave forms have been proposed to capture the water level withdrawal phenomenon, in particular the leading- depression N-waves (LDN), a consistent method for generating and characterizing LDNs had been lacking. In this study we adop
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Dissertations / Theses on the topic "Solitary waves"

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King, Gregory B. (Gregory Blaine). "Explicit Multidimensional Solitary Waves." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc504381/.

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In this paper we construct explicit examples of solutions to certain nonlinear wave equations. These semilinear equations are the simplest equations known to possess localized solitary waves in more that one spatial dimension. We construct explicit localized standing wave solutions, which generate multidimensional localized traveling solitary waves under the action of velocity boosts. We study the case of two spatial dimensions and a piecewise-linear nonlinearity. We obtain a large subset of the infinite family of standing waves, and we exhibit several interesting features of the family. Our s
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Chen, Hongqiu. "Solitary waves and other long-wave phenomena /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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Orszaghova, Jana. "Solitary waves and wave groups at the shore." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:5b168bdc-4956-4152-a303-b23a6067bf42.

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A significant proportion of the world's population and physical assets are located in low lying coastal zones. Accurate prediction of wave induced run-up and overtopping of sea defences are important in defining the extent and severity of wave action, and in assessing risk to people and property from severe storms and tsunamis. This thesis describes a one-dimensional numerical model based on the Boussinesq equations of Madsen and Sorensen (1992) and the non-linear shallow water equations. The model is suitable for simulating propagation of weakly non-linear and weakly dispersive waves from int
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Kim, Boguk Ph D. Massachusetts Institute of Technology. "Three-dimensional solitary waves in dispersive wave systems." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/34543.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.<br>Includes bibliographical references (p. 119-122).<br>Fully localized three-dimensional solitary waves, commonly referred to as 'lumps', have received far less attention than two-dimensional solitary waves in dispersive wave systems. Prior studies have focused in the long-wave limit, where lumps exist if the long-wave speed is a minimum of the phase speed and are described by the Kadomtsev-Petviashvili (KP) equation. In the water-wave problem, in particular, lumps of the KP type are possible only in the stron
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Hoseini, Sayed Mohammad. "Solitary wave interaction and evolution." Access electronically, 2007. http://www.library.uow.edu.au/adt-NWU/public/adt-NWU20080221.110619/index.html.

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Mak, William Chi Keung Electrical Engineering &amp Telecommunications Faculty of Engineering UNSW. "Coupled Solitary Waves in Optical Waveguides." Awarded by:University of New South Wales. Electrical Engineering and Telecommunications, 1998. http://handle.unsw.edu.au/1959.4/17494.

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Soliton states in three coupled optical waveguide systems were studied: two linearly coupled waveguides with quadratic nonlinearity, two linearly coupled waveguides with cubic nonlinearity and Bragg gratings, and a quadratic nonlinear waveguide with resonant gratings, which enable three-wave interaction. The methods adopted to tackle the problems were both analytical and numerical. The analytical method mainly made use of the variational approximation. Since no exact analytical method is available to find solutions for the waveguide systems under study, the variational approach was proved t
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Melvin, Thomas R. O. "Travelling solitary waves in lattice equations." Thesis, University of Bristol, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.503947.

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This thesis is concerned with the existence and dynamics of travelling solitary waves in lattice equations, specifically a number of models of the discrete nonlinear Schrodinger equation (DNLS). The DNLS occurs in various forms when modelling a wide range of physical processes involving wave propagation. We provide a review of the literature and introduce some of the concepts that will be use to analyse the differential advance-delay equations which occur when posing lattice equations in a travelling frame. To show the existence of travelling solitary wave solutions to the DNLS three main meth
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Skryabin, Dmitry Vladimirovich. "Modulational instability of optical solitary waves." Thesis, University of Strathclyde, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366995.

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Moores, John Demeritt. "Collisions of orthogonally polarized solitary waves." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/14420.

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Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1989.<br>Includes bibliographical references.<br>Support from the Office of Naval Research in the form of a 1986-1989 ONR Fellowship.<br>by John Demeritt Moores.<br>M.S.
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Marchant, Anna Louise. "Formation of bright solitary matter-waves." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/7279/.

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This thesis presents the development of an experimental apparatus to produce Bose-Einstein condensates (BECs) with tunable interparticle interactions. The ability to precisely control the strength of these interactions, and even to switch them from repulsive to attractive, allows one to probe novel regimes of condensate physics, from the collapse of attractively interacting BECs and the formation of solitary matter-waves to the observation of beyond mean-field effects in strongly repulsive condensates. The construction and characterisation of both a single and crossed beam optical dipole trap
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Books on the topic "Solitary waves"

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Belashov, Vasily Yu, and Sergey V. Vladimirov. Solitary Waves in Dispersive Complex Media. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/b138237.

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Engel'brekht, Yuriĭ K. An introduction to asymetric solitary waves. Longman Scientific & Technical, 1991.

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Wazwaz, Abdul-Majid. Partial Differential Equations and Solitary Waves Theory. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00251-9.

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R, Champneys A., Hunt G. W. 1944-, and Thompson, J. M. T. 1937-, eds. Localization and solitary waves in solid mechanics. The Royal Society, 1997.

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A, Pokhotelov O., ed. Solitary waves in plasmas and in the atmosphere. Gordon and Breach Science Publishers, 1992.

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Pava, Jaime Angulo. Nonlinear dispersive equations: Existence and stability of solitary and periodic travelling wave solutions. American Mathematical Society, 2009.

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Boyd, John P. Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5825-5.

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V, Vladimirov Sergey, ed. Solitary waves in dispersive complex media: Theory, simulation, applications. Springer, 2005.

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Pava, Jaime Angulo. Nonlinear dispersive equations: Existence and stability of solitary and periodic travelling waves solutions. American Mathematical Society, 2009.

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Pava, Jaime Angulo. Nonlinear dispersive equations: Existence and stability of solitary and periodic travelling wave solutions. American Mathematical Society, 2009.

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Book chapters on the topic "Solitary waves"

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Fibich, Gadi. "Solitary Waves." In Applied Mathematical Sciences. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12748-4_6.

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Hioe, F. T., and R. Grobe. "Matched Solitary Waves." In Coherence and Quantum Optics VII. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-9742-8_99.

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Wazwaz, Abdul-Majid. "Solitary Waves Theory." In Nonlinear Physical Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00251-9_12.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Encyclopedia of Complexity and Systems Science. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-642-27737-5_480-5.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Encyclopedia of Complexity and Systems Science Series. Springer US, 2022. http://dx.doi.org/10.1007/978-1-0716-2457-9_480.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Mathematics of Complexity and Dynamical Systems. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1806-1_96.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Encyclopedia of Complexity and Systems Science. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_480.

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Scott, A. C. "Solitary waves in biology." In Nonlinear Excitations in Biomolecules. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-662-08994-1_19.

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Linde, H., P. D. Weidman, and M. G. Velarde. "Marangoni-driven solitary waves." In Capillarity Today. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54367-8_56.

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Fibich, Gadi. "Computation of Solitary Waves." In Applied Mathematical Sciences. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12748-4_28.

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Conference papers on the topic "Solitary waves"

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Serkin, Vladmir N., Tatyana L. Belyaeva, Igor V. Alexandrov, and Gaston Melo Melchor. "Solitary nonlinear Bloch waves." In Photonics West 2001 - LASE, edited by Yehuda B. Band. SPIE, 2001. http://dx.doi.org/10.1117/12.424708.

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Mochimaru, Yoshihiro. "Gravity-capillary, solitary waves." In RENEWABLE ENERGY SOURCES AND TECHNOLOGIES. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5127488.

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Liu, Xiao, and Yong Liu. "A New Methodology for Generation of Solitary Water Waves in Laboratory." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18537.

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Abstract In this article, a very simple system based on the enhanced dam-break flows was proposed and implemented to generate solitary wave with larger relative wave height (the ratio of wave height to water depth) in a laboratory flume. The experimental results showed that stable waves with the solitary wave profiles were successfully generated in the wave flume. The wave surface elevations were recorded by a series of wave gauges, and the fluid velocity field of the solitary wave was measured by Particle Image Velocimetry (PIV) system. The measurements of solitary wave profile, celerity and
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Lee, Wangkeun, Hongki Kim, and Myoungsik Cha. "Solitary waves in quadratic media with local distortion of phase mismatch." In Nonlinear Guided Waves and Their Applications. Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nsnps.p10.

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In media with quadratic nonlinearity spatial solitary waves can be created by mutual trapping of the fundamental and the second-harmonic waves. Such solitary waves, as they are soliton-like waves, retain the original beam width and intensity to some extent. Nevertheless, intensity fluctuation and depletion have been significant problems in addition to that a long propagation length is needed before forming a stable solitary wave.
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Maltseva, Janna L. "Limiting Forms of Internal Solitary Waves." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28514.

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High sensitivity of nonlinear wave structures in the weakly stratified fluid with respect to small perturbations of density in the upstream flow was pointed out in the paper (Benney &amp; Ko, 1978). In present paper the influence of fine structure of stratification on one of the limiting forms, namely plateau-shaped solitary waves is analyzed. It is demonstrated that new limiting forms of solitary waves are possible in the case of continuous stratification close to linear or exponential one.
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Synolakis, Costas Emmanuel. "Are Solitary Waves the Limiting Waves in Long Wave Runup?" In 21st International Conference on Coastal Engineering. American Society of Civil Engineers, 1989. http://dx.doi.org/10.1061/9780872626874.015.

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Etrich, C., U. Peschel, F. Lederer, and B. A. Malomed. "Vectorial Solitary Waves in Media with a Second-Order Nonlinearity." In Nonlinear Guided Waves and Their Applications. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/nlgw.1996.sad.15.

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During the last years the interest in solitary-wave effects in quadratically nonlinear media has increased rapidly. Bright, dark and grey solitary waves were found in the case of scalar second harmonic generation (SHG) where two photons of the fundamental wave create one photon of the second harmonic [1, 2]. In contrast, all investigations of the vectorial or so-called type II SHG (two photons of two different fundamental waves create one photon of the second harmonic) concentrated on cw-operation only. Interesting effects like phase insensitive transistor-like action, polarization switching o
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ZHANG, FEI, and MICHAEL A. COLLINS. "SOLITARY WAVES IN POLYETHYLENE CRYSTALS." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814503877_0057.

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CHEN, MIN. "OBLIQUE INTERACTION OF SOLITARY WAVES." In Proceedings of the Conference. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304245_0012.

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ENGELBRECHT, J., A. BEREZOVSKI, and A. SALUPERE. "SOLITARY WAVES IN DISPERSIVE MATERIALS." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0034.

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Reports on the topic "Solitary waves"

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Balmforth, N. J. Solitary waves and homoclinic orbits. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10139636.

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Bisognano, J. J. Solitary waves in particle beams. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/10155313.

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Armi, Laurence. Solitary Waves and Sill Flows. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada628383.

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Farmer, David. Solitary Waves and Sill Flows. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada629416.

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Brandt, Alan, and Omar M. Knio. Mass Transport by Second Mode Internal Solitary Waves. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada590593.

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Brandt, Alan, and Omar M. Knio. Mass Transport by Second Mode Internal Solitary Waves. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada598900.

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Brandt, Alan, and Omar M. Knio. Mass Transport by Second Mode Internal Solitary Waves. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada624562.

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Farmer, David M., and Svein Vagle. Stratified Flow Over Topography and Internal Solitary Waves. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada626450.

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Farmer, David M. Large Amplitude Breaking Internal Solitary Waves: Their Origin and Dynamics. Defense Technical Information Center, 2003. http://dx.doi.org/10.21236/ada629108.

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Pickett, Jolene. Collaborative Research: Dynamics of Electrostatic Solitary Waves on Current Layers. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1053964.

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