Derivation of Exact Solutions for the (3+1)-Dimensional KP Equation with (G'/G2)-Expansion Method

Yun Jie Yang; Yun Mei Zhao

doi:10.4028/www.scientific.net/AMR.1044-1045.1110

Paper Titles

Based on Binary Image Information Hiding Overview
p.1094

Based on Digital Image Forensics Double JPEG Compression Algorithm
p.1098

Based on the RMXP RPG Game Design and Implementation
p.1102

City Electronics Furniture Store System Order Based on ASP.NET
p.1106

Derivation of Exact Solutions for the (3+1)-Dimensional KP Equation with (G'/G²)-Expansion Method
p.1110

Design and Application of a Communication System Based on Codesys
p.1113

Design and Implementation of Mobile Learning Terminal Platform of Network Course Based on Android
p.1118

Design and Implementation of UDP-Based Coal Mines Enterprises Internal LAN Communications Software
p.1122

Design of a Novel EBG Structure for Antenna Arrays
p.1125

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1044-1045Derivation of Exact Solutions for the...

Derivation of Exact Solutions for the (3+1)-Dimensional KP Equation with (G'/G²)-Expansion Method

Abstract:

Using the-expansion method proposed recently the exact solutions of the (3+1)-dimensional KP equation are found out. The exact solutions are expressed by two types of functions which are the trigonometric functions and the rational functions. When the parameters are taken as special values the trigonometric function solutions can be expressed as periodic wave solutions.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 1044-1045)

Pages:

1110-1112

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1044-1045.1110

Citation:

Cite this paper

Online since:

October 2014

Authors:

Yun Jie Yang*, Yun Mei Zhao

Keywords:

(3+1)-Dimensional KP Equation, (G′⁄G²)-Expansion Method, Exact Solutions

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] M. L. Wang, X. Z. Li and J. L. Zhang, The -expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics, Phys. Lett. A 372 (2008) 417-423.

DOI: 10.1016/j.physleta.2007.07.051

Google Scholar

[2] Y. M. Zhao, Y. J. Yang, Constructing of new travelling wave solutions to the combined KdV-mKdV equation by the generalized -expansion method, MATH. SCI. RES. J. 16(12) 2012 318-326.

Google Scholar

[3] Y. M. Zhao, Y. J. Yang and W. Li, Exact travelling wave solutions of the combined KdV equation by -expansion method, MATH. SCI. RES. J. 16(8) 2012 189-194.

Google Scholar

[4] Y. M. Zhao, New Jacobi Elliptic Function Solutions for the Zakharov Equations, Journal of Applied Mathematics, Vol. 2012, Article ID 854619, 16 pages, (2012).

DOI: 10.1155/2012/854619

Google Scholar

[5] Q. J. Feng, X. H. Lei, Derivation of Exact Solutions for Nonlinear Evolution Equations with -expansion Method, MATHEMATICA APPLICATA 26(3) 2013 538-543.

Google Scholar

[6] A. Bekir, F. Uygun, Exact travelling wave solutions of nonlinear evolution equations by using the -expansion method, Arab Journal of Mathematical Sciences (2012) 18. 73-85.

Google Scholar