WEAKLY NONLOCAL SOLITARY WAVES IN A SINGULARLY PERTURBED KORTEWEG-DEVRIES EQUATION

被引：110

作者：

GRIMSHAW, R ^{[1
]}

JOSHI, N ^{[1
]}

机构：

[1] UNIV NEW S WALES,SCH MATH,KENSINGTON,NSW 2033,AUSTRALIA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1995年 / 55卷 / 01期

关键词：

SOLITARY WAVE; SINGULAR PERTURBATION; EXPONENTIAL ASYMPTOTICS; KORTEWEG-DEVRIES;

D O I：

10.1137/S0036139993243825

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fifth-order Korteweg-de Vries equation is considered, where the fifth-order derivative term is multiplied by a small parameter. It is known that solitary wave solutions of this model equation are nonlocal in that the central core of the wave is accompanied by copropagating trailing oscillations. Here, using the techniques of exponential asymptotics, these solutions are reexamined and it is established that they form a one-parameter family characterized by the phase shift of the trailing oscillations. Explicit asymptotic formula relating the oscillation amplitude to the phase shift are obtained.

引用

页码：124 / 135

页数：12

共 21 条

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