Inverse scattering method and vector higher order nonlinear Schrödinger equation

DOI10.1016/S0550-3213(99)00484-8zbMath0989.37066arXivsolv-int/9904021MaRDI QIDQ1572351

Sasanka Ghosh, Sudipta Nandy

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9904021

zbMATH Keywords

Schrödinger equationgauge equivalenceLax pairLax equationsspin fieldcoupled Riccati equationsgeneralized inverse scattering methodgeneralized Landau-Lifshitz equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items

Vector multi-pole solutions in the \(r\)-coupled Hirota equation, New solutions for \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations, Inverse scattering approach to coupled higher-order nonlinear Schrödinger equation and \(N\)-soliton solutions, Hirota bilinearization of coupled higher-order nonlinear Schrödinger equation

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