New solitary wave solutions to the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff and the Kadomtsev-Petviashvili hierarchy equations

被引：44

作者：

Baskonus, H. M. ^{[1
]}

Sulaiman, T. A. ^{[2
]}

Bulut, H. ^{[2
]}

机构：

[1] Munzur Univ, Dept Comp Engn, Tunceli, Turkey

[2] Firat Univ, Dept Math, Elazig, Turkey

来源：

INDIAN JOURNAL OF PHYSICS | 2017年 / 91卷 / 10期

关键词：

Sine-Gordon expansion method; Calogero-Bogoyavlenskii-Schiff equation; Kadomtsev-Petviashvili hierarchy equation; Complex function solutions; Hyperbolic function solutions; Trigonometric function solutions; NONLINEAR EVOLUTION-EQUATIONS; MATHEMATICAL PHYSICS; DIFFERENTIAL-EQUATIONS; SYSTEM;

D O I：

10.1007/s12648-017-1033-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, with the help of Wolfram Mathematica 9 we employ the powerful sine-Gordon expansion method in investigating the solution structures of the two well known nonlinear evolution equations, namely; Calogero-Bogoyavlenskii-Schiff and Kadomtsev-Petviashvili hierarchy equations. We obtain new solutions with complex, hyperbolic and trigonometric function structures. All the obtained solutions in this paper verified their corresponding equations. We also plot the three- and two-dimensional graphics of all the obtained solutions in this paper by using the same program in Wolfram Mathematica 9. We finally submit a comprehensive conclusion.

引用

页码：1237 / 1243

页数：7

共 44 条

[1]

Abdelkawy MA, 2012, SCI RES ESSAYS, V7, P2417, DOI [10.5897/SRE12.299, DOI 10.5897/SRE12.299]

[2]

Abdou M.A., 2012, Stud. Nonlinear Sci, V3, P14

[3]

Ablowitz M. J., 2004, DYNAM PART DIFFER EQ, V1, P239

[4]

Aghdaei MF, 2011, J MATH EXT, V5, P91