Painlevé analysis of the resonant third-order nonlinear Schrödinger equation

被引：6
|
作者：
Kudryashov, Nikolay A. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Dept Appl Math, 31 Kashirskoe Shosse, Moscow 115409, Russia
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 158卷
基金：
俄罗斯科学基金会;
关键词：
Resonant third-order nonlinear Schr & ouml; dinger; equation; Painlev & eacute; test; Integrability; Solitary and periodic wave; SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; OPTICAL SOLITONS; PROPAGATION; PULSE;
D O I：
10.1016/j.aml.2024.109232
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The resonant Schr & ouml;dinger equation of the third order is studied. The Painlev & eacute; test for nonlinear partial differential equations is used to determine integrability of equation. It is shown that the necessary condition for integrability of partial differential equations by the inverse scattering transform is fulfilled at certain parameter restriction. Analytical solutions in the form of periodic and solitary wave are presented.
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页数：6
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