Application of the novel (G'/G)-expansion method to construct traveling wave solutions to the positive Gardner-KP equation

被引：14
|
作者：
Akbar, M. Ali [1 ]
Alam, Md. Nur [2 ]
Hafez, Md. Golam [3 ]
机构：
[1] Rajshahi Univ, Dept Appl Math, Rajshahi, Bangladesh
[2] Pabna Univ Sci & Technol, Dept Math, Pabna, Bangladesh
[3] Chittagong Univ Engn & Technol, Dept Math, Chittagong, Bangladesh
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2016年 / 47卷 / 01期
关键词：
Novel (G '/G)-expansion method; positive Gardner-KP equation; nonlinear evolution equation; traveling wave solutions; solitary wave solutions; GENERALIZED (G'/G)-EXPANSION METHOD; EXPLICIT SOLUTIONS;
D O I：
10.1007/s13226-016-0171-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The novel (G'/G)-expansion method is one of the powerful methods accredited at the present time for establishing exact traveling wave solutions to nonlinear evolution equations (NLEEs). In this article, the method has been implemented to find the traveling wave solutions to the positive Gardner-KP equation. The efficiency of this method for finding exact and traveling wave solutions has been demonstrated. The obtained solutions have been compared with the solution obtained by other methods. The solutions have also been demonstrated by figures. It has been shown that the method is straightforward and an effective tool for solving NLEES that occur in applied mathematics, mathematical physics, and engineering.
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页码：85 / 96
页数：12
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