Travelling waves in a dispersion–saturating diffusion equation

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-05-22 DOI:10.1016/j.nonrwa.2025.104403

Gnord Maypaokha , Nabil Bedjaoui , Joaquim M.C. Correia , Michael Grinfeld

引用次数: 0

Abstract

In the framework of hyperbolic conservation laws regularised by including diffusive and dispersive terms, we study monotone travelling waves for the generalised Rosenau–Korteweg de Vries equation. We establish existence as well as linear and nonlinear determinacy results in different regimes.

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色散饱和扩散方程中的行波

在包含扩散项和色散项的正则双曲守恒律框架下，研究了广义Rosenau-Korteweg de Vries方程的单调行波。我们建立了在不同状态下的存在性以及线性和非线性确定性结果。

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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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.