Title :
Applications of (G´/G)-expansion to Traveling Wave Solutions for Variant Boussinesq Equations
Author :
Li, Wei ; Ruan, Chunlei
Author_Institution :
Sch. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China
Abstract :
The (G´/G)-expansion method can be used for constructing exact traveling wave solutions of nonlinear evolution equations, where G=G(ξ) satisfies a second order linear ordinary differential equation (LODE for short), by which the traveling wave solutions involving parameters for the variant Boussinesq equations are obtained. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions.
Keywords :
differential equations; functional analysis; (G´/G)-expansion; hyperbolic functions; nonlinear evolution equation; rational functions; second order linear ordinary differential equation; traveling wave solution; trigonometric functions; variant Boussinesq equation; Chaos; Compounds; Educational institutions; Jacobian matrices; Polynomials; Solitons; (G´/G)-expansion method; Variant Boussinesq equations; homogeneous balance; nonlinear evolution equations; traveling wave solutions;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4673-1365-0
DOI :
10.1109/CSO.2012.85
