Persistence of travelling fronts of KdV-Burgers-Kuramoto equation

被引：7

作者：

Fu, Yanggeng ^{[1
]}

Liu, Zhengrong ^{[1
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 07期

基金：

中国国家自然科学基金;

关键词：

KdV-Burgers-Kuramoto equation; Travelling fronts; Fenichel's theory; Persistence; NONLINEAR EQUATIONS; WAVES; INSTABILITY; EXISTENCE; MODEL;

D O I：

10.1016/j.amc.2010.03.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the travelling fronts of KdV-Burgers-Kuramoto equation from geometric singular perturbation point of view. Motivated by the analogue between travelling fronts and heteroclinic orbits of the corresponding ordinary differential equations, we prove the persistence of these waves for sufficiently small dissipation. The result of numerical investigation also establishes our analysis. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2199 / 2206

页数：8

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