变系数非局域Hirota方程的双线性化、孤子和调制不稳定性

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-17 DOI:10.1016/j.aml.2025.109688

Hao-Dong Liu, Bo Tian

引用次数: 0

摘要

Hirota方程已被用来模拟非线性光纤中的某些非线性波。本文研究了一类变系数非局部Hirota方程：利用改进的Hirota方法，得到了该方程的双线性形式和孤子解；讨论了渐近分析；我们还研究了调制不稳定性。

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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Bilinearization, solitons and modulational instability for a variable-coefficient nonlocal Hirota equation

Hirota-type equations have been used to model certain nonlinear waves in the nonlinear optical fibers. In this paper, a variable-coefficient nonlocal Hirota equation is investigated: Via the improved Hirota method, we obtain the bilinear forms and soliton solutions; The asymptotic analysis is discussed; We also study the modulational instability.

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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.