Title :
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
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;
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
DOI :
10.1109/ICCASM.2010.5622998
