Finding the One-Loop Soliton Solution of the Short-Pulse Equation by Means of the Homotopy Analysis Method

被引：6

作者：

Parkes, E. J. ^{[2
]}

Abbasbandy, S. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916819, Iran

[2] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 02期

关键词：

short-pulse equation; homotopy analysis method; solitary-wave solution; series solution; BOUNDARY-LAYER-FLOWS; ANALYTIC SOLUTION; NONLINEAR EQUATIONS; SERIES SOLUTIONS; 2ND-GRADE FLUID; HEAT-TRANSFER; KDV EQUATION; WAVES; PLATE; SHEET;

D O I：

10.1002/num.20348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution. This provides further evidence that the homotopy analysis method is a powerful tool for finding excellent approximations to nonlinear solitary waves. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 401-408, 2009

引用

页码：401 / 408

页数：8

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