Painlevé analysis of the resonant third-order nonlinear Schrödinger equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-07-20 DOI:10.1016/j.aml.2024.109232

引用次数: 0

Abstract

The resonant Schrödinger equation of the third order is studied. The Painlevé 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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共振三阶非线性薛定谔方程的 Painlevé 分析

研究了三阶共振薛定谔方程。非线性偏微分方程的 Painlevé 检验用于确定方程的可整性。研究表明，在某些参数限制条件下，反散射变换满足了偏微分方程可积分性的必要条件。提出了周期波和孤波形式的解析解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.

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