Solitons and Nonlinear Wave Equations

Keywords

Isospectral, Korteweg–de Vries equation, Inverse scattering transform, Inverse scattering problem, Nonlinear Schrödinger equation

References

No references recorded for this paper.

Cited by

• Spectrum and wave shape of intense laser pulse propagating through Raman active mediumA. A. Khrutchinsky, I. P. Prokopovich — 1997
• Fourth order accurate numerical solution of the sine-Gordon equation : using the summation-by-parts simultaneous approximation term methodDavid Jäderberg, A. Gådin — 2013
• Arrival times in quantum mechanics: Operational and quantum optical approachesDirk Seidel — 2005
• Supersonic flow past finite-length bodies in dispersive hydrodynamicsA. Gurevich, P. N. Lebedev, А. Л. Крылов — 1996
• Dark Solitons in Gravitational Wave and Pulsar Plasma InteractionU. A. Mofiz — 2009
• Positive and Negative Mixtures in Relativistic Schrödinger TheoryS. Rupp, M. Sorg — 2001
• Involutive Distributions, Invariant Manifolds, and Defining EquationsО. В. Капцов — 2002
• Revertible and symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrödinger equationRuili Zhang, Jianfei Huang, Yifa Tang — 2011
• Asymptotic Irrelevance of the KdV HierarchyLuis J. Boya — 2004
• On invariant measures for some infinite-dimensional dynamical systemsPeter Zhidkov — 1995
• A Note on Static Solutions of a Lorentz Invariant Equation in Dimension 3Carlos Cid, Patricio Felmer — 2000
• Non-local model of aggregation in uniform polydispersed systemsA. Brener, B. Ch. Balabekov, A. Kaugaeva — 2009
• Lattice modelling of nonlinear waves in a bi-layer with delaminationК. Р. Хуснутдинова, Vadim V. Silberschmidt — 2003
• Integrable Chains and Hierarchies of Differential Evolution EquationsAndrei K. Svinin — 2001
• Time-delayed control of chaos in the Ikeda systemNikita M. Ryskin, O. S. Khavroshin — 2007
• Quantum Phenomena in a Classical ModelVieri Benci — 1999
• Exact solitary wave solutions of the complex Klein–Gordon equationReza Abazari, Shabnam Jamshidzadeh — 2015
• Relationship Between Soliton-like Solutions and Soliton Solutions to a Class of Nonlinear Partial Differential EquationsChunping Liu, Zhi Ling — 2005
• Nonlinear waves and solitons in models of fault block geological mediaВ. Г. Быков — 2015
• A—B hybrid equation method of nonlinear bifurcation in wave—flow interactionGao Shouting — 1991

Related papers

• The soliton: A new concept in applied scienceAlwyn Scott, Flora Y. F. Chu, David W. McLaughlin — 1973
• Solitons and the Inverse Scattering TransformMark J. Ablowitz, Harvey Segur — 1981
• Dynamics of Solitons in Nearly Integrable SystemsYuri S. Kivshar, Boris A. Malomed — 1989
• Solitons, Nonlinear Evolution Equations and Inverse ScatteringM. A. Ablowitz, Peter A. Clarkson — 1992
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial StatesNorman J. Zabusky, Martin D. Kruskal — 1965
• Solitons in Molecular SystemsA. S. Davydov — 1991
• Method for solving the Korteweg-deVries equationClifford S. Gardner, J. M. Greene, Martin D. Kruskal — 1967
• Solitons: An IntroductionP. G. Drazin, R. S. Johnson — 1989
• Linear and Nonlinear WavesG. B. Whitham, Richard Fowler — 1974
• XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wavesD. J. Korteweg, G. de Vries — 1895