EXACT-SOLUTIONS OF THE ONE-DIMENSIONAL QUINTIC COMPLEX GINZBURG-LANDAU EQUATION

被引：129

作者：

MARCQ, P

CHATE, H

CONTE, R

机构：

[1] Service de Physique de l'Etat Condensé, Centre d'Etudes de Saclay

来源：

PHYSICA D | 1994年 / 73卷 / 04期

关键词：

D O I：

10.1016/0167-2789(94)90102-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exact solitary wave solutions of the one-dimensional quintic complex Ginzburg-Landau equation are obtained using a method derived from the Painleve test for integrability. These solutions are expressed in terms of hyperbolic functions, and include the pulses and fronts found by van Saarloos and Hohenberg. We also find previously unknown sources and sinks. The emphasis is put on the systematic character of the method which breaks away from approaches involving somewhat ad hoc Ansatze.

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页码：305 / 317

页数：13

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