具有非零边界条件的昆杜方程有理解的状态转换

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-11-09 DOI:10.1016/j.aml.2024.109363

Deqin Qiu , Yongshuai Zhang , Wei Liu

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引用次数: 0

摘要

利用广义达尔布克斯变换技术，为重要物理模型昆都方程导出了几种具有非零边界条件的新型有理解。这是首次对昆杜方程的此类有理解进行系统分析。对于具有非零边界条件的一阶有理解，我们的研究结果表明，与昆杜方程中的自膨胀、自相位调制和五次非线性效应相关的三个参数 a、b 和 β 可导致情况 B 中的四种不同状态和情况 C 中的五种不同状态，它们都对应于具有非零边界条件的有理解。

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State transitions for the rational solutions of Kundu equation with non-zero boundary conditions

Several novel rational solutions with nonzero boundary condition for the Kundu equation, which is an important physical model, are derived using the technique of generalized Darboux transformation. It is the first time that a systemic analysis has been conducted on such rational solutions for the Kundu equation. For the 1-order rational solutions with nonzero boundary conditions, our findings reveal that three parameters,

a

b

, and

β

, which are associated with the effects of self-steepening, self-phase modulation, and quintic nonlinearity in the Kundu equation, can result in four distinct states for case B and five distinct states for case C, all corresponding to rational solutions with nonzero boundary conditions.

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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.