PERIODIC TRAVELING-WAVE SOLUTIONS OF NONLINEAR DISPERSIVE EVOLUTION EQUATIONS

被引：11

作者：

Chen, Hongqiu ^{[1
]}

Bona, Jerry L. ^{[2
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 11-12期

关键词：

Period traveling waves; generalized cnoidal waves; solitary waves; generalized Korteweg-de Vries equations; non-local dispersion relations; stability theory; MODEL-EQUATIONS; BENJAMIN-ONO; LONG WAVES; STABILITY;

D O I：

10.3934/dcds.2013.33.4841

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a general class of nonlinear, dispersive wave equations, existence of periodic, traveling-wave solutions is studied. These traveling waveforms are the analog of the classical cnoidal-wave solutions of the Korteweg-de Vries equation. They are determined to be stable to perturbation of the same period. Their large wavelength limit is shown to be solitary waves.

引用

页码：4841 / 4873

页数：33

共 29 条

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[2]

Albert J., 1999, Automata Implementation. Third International Workshop on Implementing Automata, WIA'98. Revised Papers (Lecture Notes in Computer Science Vol.1660), P1

[3] SUFFICIENT CONDITIONS FOR STABILITY OF SOLITARY-WAVE SOLUTIONS OF MODEL-EQUATIONS FOR LONG WAVES [J].