Multiple new travelling wave solutions to the shallow long wave approximate equations with variable coefficients

Author

Zigao, Chen ; Hui, Liu ; Fang, Liang

Author_Institution

Coll. of Math. & Inf. Sci., North China Univ. of Water, Resources & Electr. Power, Zhengzhou, China

Volume

9

fYear

2010

fDate

22-24 Oct. 2010

Abstract

Six types of new exact solutions to the Riccati equation associated with extended tanh-function method are presented and used uniformly for constructing multiple travelling wave solutions to nonlinear evolution equations. For illustration, multiple new travelling wave solutions to the shallow long wave approximate equations with variable coefficients are obtained. The method is straightforward, concise, and it also applied to other nonlinear evolution equations in mathematical physics.

Keywords

nonlinear differential equations; solitons; wave equations; Riccati equation; exact solutions; extended tanh-function method; nonlinear evolution equations; shallow long wave approximate equations; soliton wave solution; travelling wave solutions; triangular periodic wave solution; variable coefficients; Computer applications; Mathematical model; Modeling; Polynomials; Riccati equations; Solitons; Riccati equation; solution wave solution; travelling wave solution; triangular periodic wave solution; variable coefficient;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Application and System Modeling (ICCASM), 2010 International Conference on

Conference_Location

Taiyuan

Print_ISBN

978-1-4244-7235-2

Electronic_ISBN

978-1-4244-7237-6

Type

conf

DOI

10.1109/ICCASM.2010.5622998

Filename

5622998