Some Exact Solutions of Two Fifth Order KdV-Type Nonlinear Partial Differential Equations

被引：3

作者：

Mia, Abdus Sattarl ^{[1
]}

Akter, Tania ^{[2
]}

机构：

[1] Brock Univ, Dept Math, St Catharines, ON, Canada

[2] World Univ Bangladesh, Dept Math, Dhaka, Bangladesh

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 25卷 / 04期

关键词：

5th order KdV-type equation; extended Tanh method; CDG equation; exact solutions; solitary wave solution;

D O I：

10.4208/jpde.v25.n4.4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the generalized integrable fifth order nonlinear Korteweg-de Vries (fKdV) equation. The extended Tanh method has been used rigorously, by computational program MAPLE, for solving this fifth order nonlinear partial differential equation. The general solutions of the fKdV equation are formed considering an ansatz of the solution in terms of tanh. Then, in particular, some exact solutions are found for the two fifth order KdV-type equations given by the Caudrey-Dodd-Gibbon equation and the another fifth order equation. The obtained solutions include solitary wave solution for both the two equations.

引用

页码：356 / 365

页数：10

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