FRONTS, DOMAIN-WALLS AND PULSES IN A GENERALIZED GINZBURG-LANDAU EQUATION

被引：32

作者：

DUAN, JQ

HOLMES, P

机构：

[1] CALTECH, PASADENA, CA 91125 USA

[2] PRINCETON UNIV, DEPT MECH & AEROSP ENGN, PRINCETON, NJ 08544 USA

[3] PRINCETON UNIV, PROGRAM APPL & COMPUTAT MATH, PRINCETON, NJ 08544 USA

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1995年 / 38卷

关键词：

D O I：

10.1017/S0013091500006210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the existence and non-existence of front, domain wall and pulse type traveling wave solutions of a Ginzburg-Landau equation with cubic terms containing spatial derivatives and a fifth order term, in both subcritical and supercritical cases. Our results appear to be the first rigorous existence and non-existence proofs for the full equation with all possible terms derived from second order perturbation theory present.

引用

页码：77 / 97

页数：21

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