Exact solutions for the KdV-mKdV equation with time-dependent coefficients using the modified functional variable method

被引：4
作者：
Djoudi, W. [1 ]
Zerarka, A. [1 ]
机构：
[1] Univ Med Khider, Lab Appl Math, BP145, Biskra 07000, Algeria
来源：
COGENT MATHEMATICS | 2016年 / 3卷
关键词：
nonlinear soliton; travelling wave solutions; functional variable; homogeneous balance; KdV-mKdV;
D O I：
10.1080/23311835.2016.1218405
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the functional variable method (fvm for short) is introduced to establish new exact travelling solutions of the combined KdV-mKdV equation. The technique of the homogeneous balance method is used in second stage to handle the appropriated solutions. We show that, the method is straightforward and concise for several kinds of nonlinear problems. Many new exact travelling wave solutions are successfully obtained.
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页数：8
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