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.

引用

页码：317 / 329

页数：13

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