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

被引：33
|
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.
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页码：77 / 97
页数：21
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