Travelling wave solution of disturbed Vakhnenko equation for physical model

被引：12

作者：

Mo Jia-Qi ^{[1
,2
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241003, Peoples R China

[2] SJTU, Shanghai Univ E Inst, Div Computat Sci, Shanghai 200240, Peoples R China

来源：

ACTA PHYSICA SINICA | 2011年 / 60卷 / 09期

基金：

中国国家自然科学基金;

关键词：

functional; travelling solution; Vakhnemko equation; WESTERN BOUNDARY UNDERCURRENTS; AIR OSCILLATOR MODEL; PERTURBED MECHANISM; SOLVING METHOD; ASYMPTOTIC SOLUTION; BEHAVIOR; SOLITONS;

D O I：

10.7498/aps.60.090203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A kind of disturbed Vakhnemko equation is considered. The modified asymptotic method is given. Firstly, we obtain corresponding traveling wave solution of the typical Vakhnemko equation. Secondly, introducing a functional, constructing the iteration expansion of solution, the nonlinear equation is converted into a set of iteration sequence. And then, the corresponding approximations of solution are solved successively. Finally, the approximate expansion for arbitrary order accuracy of the travelling wave solution for the original disturbed Vakhnemko model is obtained and its accuracy is discussed.

引用

页数：6

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