阶跃初始数据可积非局部五阶非线性Schrödinger方程的Riemann-Hilbert方法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-05 DOI:10.1016/j.aml.2025.109557

Beibei Hu , Xinru Guan , Ling Zhang

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引用次数: 0

摘要

研究了一类新的三自由参数可积非局部五阶非线性Schrödinger （FONLS）方程的Cauchy问题。通过在复k平面上求解一个2 × 2矩阵的Riemann-Hilbert问题，得到了非局部FONLS方程的极限形式解。作为一个例子，我们用Riemann-Hilbert问题给出了在特殊情况下非局部FONLS方程单孤子解的精确表达式。

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Riemann–Hilbert approach to a new integrable nonlocal fifth-order nonlinear Schrödinger equation with step-like initial data

In this paper, we investigate the Cauchy problem for a new integrable nonlocal fifth-order nonlinear Schrödinger (FONLS) equation with three free parameters. By solving a 2 × 2 matrix Riemann–Hilbert problem in the complex

k

-plane, we obtain the limit form solutions of the nonlocal FONLS equation. As an example, we provide an exact expression of the one-soliton solution for the nonlocal FONLS equation by the Riemann–Hilbert problem in special cases.

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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.