A global characterization of gap solitary-wave solutions to a coupled KdV system

被引：9

作者：

Champneys, A ^{[1
]}

Groves, MD

Woods, PD

机构：

[1] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England

[2] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England

来源：

PHYSICS LETTERS A | 2000年 / 271卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

coupled Korteweg-de Vries equations; solitary waves; reversible 1 : 1 resonance; normal-form analysis; kinks;

D O I：

10.1016/S0375-9601(00)00355-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two coupled KdV equations, depending upon three dimensionless parameters, are investigated for gap solitary-wave solutions. Normal-form analysis of two degenerate Hamiltonian-Hopf bifurcations captures small-amplitude envelope solitary waves. Agreement occurs with numerical continuation to large amplitude, linking solitary waves, kinks, and a 'snaking' transition to infinite periodic cores. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：178 / 190

页数：13

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