Exact solutions for nonlinear variants of Kadomtsev-Petviashvili (n, n) equation using functional variable method

被引：16
作者：
Mirzazadeh, M. [1 ]
Eslami, M. [2 ]
机构：
[1] Univ Guilan, Dept Engn Sci, Fac Engn & Technol, Rudsar, Iran
[2] Univ Mazandaran, Dept Math, Fac Math Sci, Babol Sar, Iran
来源：
PRAMANA-JOURNAL OF PHYSICS | 2013年 / 81卷 / 06期
关键词：
Functional variable method; compacton; solitary pattern; Kadomtsev-Petviashvili equation; SOLITON-SOLUTIONS; TANH METHOD; COMPACT; KDV;
D O I：
10.1007/s12043-013-0632-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Studying compactons, solitons, solitary patterns and periodic solutions is important in nonlinear phenomena. In this paper we study nonlinear variants of the Kadomtsev-Petviashvili (KP) and the Korteweg-de Vries (KdV) equations with positive and negative exponents. The functional variable method is used to establish compactons, solitons, solitary patterns and periodic solutions for these variants. This method is a powerful tool for searching exact travelling solutions in closed form.
引用
收藏
页码：911 / 924
页数：14
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