Effect of nonlinear gradient terms on breathing localized solutions in the quintic complex Ginzburg-Landau equation

被引：61

作者：

Deissler, RJ

Brand, HR

机构：

[1] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[2] Innovat Technol, Fairview Pk, OH 44126 USA

[3] Univ Bayreuth, D-95440 Bayreuth, Germany

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.81.3856

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the effect of nonlinear gradient terms on breathing localized solutions in the complex Ginzburg-Landau equation. It is found that even small nonlinear gradient terms-which appear at the same order as the quintic term-can cause dramatic changes in the behavior of the solution, such as causing opposite sides of an otherwise monoperiodic symmetrically breathing solution to breathe at different frequencies, thus causing the solution to breathe periodically or chaotically on only one side or the solution to rapidly spread. [S0031-9007(98)07488-2].

引用

页码：3856 / 3859

页数：4

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