Focusing nonlinear Schrödinger equation with infinitely many solitons
From MaRDI portal
Publication:4873270
DOI10.1063/1.530953zbMath0845.35117OpenAlexW2081836249MaRDI QIDQ4873270
Publication date: 16 April 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530953
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)
Related Items
A New Class of Soliton Solutions for the (Modified) Kadomtsev-Petviashvili Equation ⋮ Long time behavior for the focusing nonlinear Schrödinger equation with real spectral singularities ⋮ Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions ⋮ Large and infinite-order solitons of the coupled nonlinear Schrödinger equation ⋮ Mixed dimensional infinite soliton trains for nonlinear Schrödinger equations ⋮ Long time asymptotic behavior of the focusing nonlinear Schrödinger equation ⋮ On asymptotic stability of nonlinear waves ⋮ High‐Order Soliton Solution of Landau–Lifshitz Equation ⋮ Long-time Asymptotics for the Integrable Discrete Nonlinear Schrödinger Equation: the Focusing Case ⋮ Toda soliton limits on general backgrounds ⋮ Asymptotic analysis of high-order solitons for the Hirota equation
Cites Work
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Limits of soliton solutions
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Direct and inverse scattering transforms with arbitrary spectral singularities
- Direct and inverse scattering on the line with arbitrary singularities
- Scattering and inverse scattering for first order systems
- The infinite-dimensional dressing dynamical system
- Asymptotic Solutions of the Korteweg-deVries Equation
- The collisionless shock region for the long‐time behavior of solutions of the KdV equation