Symbolic computation and construction of exact travelling wave solutions to (2+1)-dimensional GMKPI equation

Author

Yang, Xiaoxia ; Wang, Junmin

Author_Institution

Sch. of Math. & Inf. Sci., Pingdingshan Univ., Pingdingshan, China

Volume

1

fYear

2010

fDate

30-31 May 2010

Firstpage

322

Lastpage

325

Abstract

In this paper, the auxiliary equation method is used to seek exact solutions of a (2+1)-dimensional nonlinear soliton equation(GMKPI). As a result, some traveling wave solutions are successfully obtained with the aid of symbolic computation. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.

Keywords

nonlinear equations; partial differential equations; solitons; symbol manipulation; (2+1)-dimensional nonlinear soliton equation; GMKPI equation; auxiliary equation method; exact travelling wave solutions; nonlinear evolution equations; symbolic computation; Computer networks; Differential equations; Electronic mail; Information science; Mathematics; Nonlinear equations; Partial differential equations; Physics; Riccati equations; Solitons; Numerical Methods; rational solution; soliton hierarchy; soliton-like solutions; trigonometric func- tion solutions;

fLanguage

English

Publisher

ieee

Conference_Titel

Networking and Digital Society (ICNDS), 2010 2nd International Conference on

Conference_Location

Wenzhou

Print_ISBN

978-1-4244-5162-3

Type

conf

DOI

10.1109/ICNDS.2010.5479194

Filename

5479194