Existence of Traveling Wave Fronts for a Generalized KdV-mKdV Equation

被引：5

作者：

Xu, Ying ^{[1
]}

Du, Zengji ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2014年 / 19卷 / 04期

关键词：

linear chain trick; KdV-mKdV equation; traveling wave solution; geometric singular perturbation; ORDER NONLINEAR TERMS; DE-VRIES EQUATION; DIFFERENTIAL-EQUATIONS; SOLITARY WAVES; MODEL; DELAY;

D O I：

10.3846/13926292.2014.956827

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the existence of traveling wave fronts for a generalized KdV-mKdV equation. We first establish the existence of traveling wave solutions for the equation without delay, and then we prove the existence of traveling wave fronts for the equation with a special local delay convolution kernel and a special nonlocal delay convolution kernel by using geometric singular perturbation theory, Fredholm theory and the linear chain trick.

引用

页码：509 / 523

页数：15

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