Solution and Integrability of a Generalized Derivative Nonlinear Schrödinger Equation

Koichi Kondo; Kenji Kajiwara; Kai Matsui

doi:10.1143/JPSJ.66.60

Solution and Integrability of a Generalized Derivative Nonlinear Schrödinger Equation

Koichi Kondo, Kenji Kajiwara, Kai Matsui

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

A generalized derivative nonlinear Schrödinger (GDNLS) equation iU_t + 1/2U_{cursive Greek chi cursive Greek chi} + |U|²U + iα|U|²Ucursive Greek chi + iβU²U^* _{cursive Greek chi} = 0, is considered. Traveling wave solution is constructed for arbitrary values of parameters. Integrability of GDNLS equation is investigated by the Painlevé test. Stability of the traveling wave solutions in interactions is examined numerically.

Original language	English
Pages (from-to)	60-66
Number of pages	7
Journal	journal of the physical society of japan
Volume	66
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.66.60
Publication status	Published - Jan 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Access to Document

10.1143/JPSJ.66.60

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title = "Solution and Integrability of a Generalized Derivative Nonlinear Schr{\"o}dinger Equation",

abstract = "A generalized derivative nonlinear Schr{\"o}dinger (GDNLS) equation iUt + 1/2Ucursive Greek chi cursive Greek chi + |U|2U + iα|U|2Ucursive Greek chi + iβU2U* cursive Greek chi = 0, is considered. Traveling wave solution is constructed for arbitrary values of parameters. Integrability of GDNLS equation is investigated by the Painlev{\'e} test. Stability of the traveling wave solutions in interactions is examined numerically.",

author = "Koichi Kondo and Kenji Kajiwara and Kai Matsui",

year = "1997",

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AB - A generalized derivative nonlinear Schrödinger (GDNLS) equation iUt + 1/2Ucursive Greek chi cursive Greek chi + |U|2U + iα|U|2Ucursive Greek chi + iβU2U* cursive Greek chi = 0, is considered. Traveling wave solution is constructed for arbitrary values of parameters. Integrability of GDNLS equation is investigated by the Painlevé test. Stability of the traveling wave solutions in interactions is examined numerically.

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