Lyapunov approach to the soliton stability in highly dispersive systems .1. Fourth order nonlinear Schrodinger equations

被引：26

作者：

Karpman, VI

机构：

[1] Ctr. Plasma Phys./Nonlinear Dynam., Racah Institute of Physics, Hebrew University

来源：

PHYSICS LETTERS A | 1996年 / 215卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(96)00231-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The stability of solitons, described by fourth order nonlinear Schrodinger equations with arbitrary power nonlinearities, is studied by means of the Lyapunov approach. From the results obtained it follows that the solitons are stable at pD < 4, where p is the power of nonlinearity and D is the number of space dimensions.

引用

页码：254 / 256

页数：3

共 15 条

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IVANOV BA, 1983, FIZ NIZK TEMP+, V9, P845

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