高阶广义反应-对流-扩散方程的周期波解

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-07-31 DOI:10.1016/j.aml.2024.109249

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引用次数: 0

摘要

本文研究了具有任意高阶反应项或对流项的广义反应-对流-扩散方程的周期波解的唯一性。主要技术是通过一种新准则和笛卡尔符号规则证明两个阿贝尔积分之比的单调性。对 Wei 和 Chen (2023) 提出的一个猜想给出了肯定的答案，并进行了一些数值模拟来说明所获得的理论结果。

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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Periodic wave solutions for a generalized reaction–convection–diffusion equation of high-order

In this paper, we investigate the uniqueness of periodic wave solutions for a generalized reaction–convection–diffusion equation with arbitrarily high-order reaction term or convection term. The main technique is to prove the monotonicity of the ratio of two Abelian integrals by a new criterion and Descartes’ rule of signs. A positive answer to a conjecture stated in Wei and Chen (2023) is given and some numeric simulations are carried out to illustrate the obtained theoretical results.

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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.