Exact travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation using the new approach of generalized (G′/G)-expansion method

被引：0
作者：
Alam, Md Nur [1 ]
Akbar, M. Ali [2 ]
Hoque, M. Fazlul [1 ]
机构：
[1] Pabna Univ Sci & Technol, Dept Math, Pabna, Bangladesh
[2] Rajshahi Univ, Dept Appl Math, Rajshahi 6205, Bangladesh
来源：
PRAMANA-JOURNAL OF PHYSICS | 2014年 / 83卷 / 03期
关键词：
The new generalized (G ')/G)-expansion method; the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation; nonlinear partial differential equation; travelling wave solutions; NONLINEAR EVOLUTION-EQUATIONS;
D O I：
10.1007/s12043-014-0776-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the new generalized (-expansion method is executed to find the travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation. The efficiency of this method for finding exact and travelling wave solutions has been demonstrated. It is shown that the new approach of generalized (-expansion method is a straightforward and effective mathematical tool for solving nonlinear evolution equations in applied mathematics, mathematical physics and engineering. Moreover, this procedure reduces the large volume of calculations.
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页码：317 / 329
页数：13
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