Evolution of a damped soliton in a higher-order nonlinear Schrödinger equation

DOI10.1016/0960-0779(91)90029-9zbMath0755.35130OpenAlexW2011885068MaRDI QIDQ1185437

Narimasa Sasa, Junkichi Satsuma, Boris A. Malomed

Publication date: 28 June 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90029-9

zbMATH Keywords

one-soliton solutionhigher-order dispersive termsintra-pulse Raman scatteringone-humpedsmall dissipative termtwo-humped

Mathematics Subject Classification ID

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) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms

Cites Work

• Unnamed Item
• Method of Conservation Laws for Solving Nonlinear Schrödinger Equation
• The inverse scattering transform: Semi-infinite interval
• An exact solution for a derivative nonlinear Schrödinger equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Exact envelope-soliton solutions of a nonlinear wave equation

This page was built for publication: Evolution of a damped soliton in a higher-order nonlinear Schrödinger equation