Title :
The investigation into the exact solutions of the nonlinear evolution equations with positive fractional power term
Author :
Xinrui Wang ; Wei Li
Author_Institution :
Judge Bus. Sch., Univ. of Cambridge, Cambridge, UK
Abstract :
In this paper, the solitary wave solutions of four important nonlinear evolution equations with positive fractional power terms are derived with the aid of two new subsidiary higher order ordinary differential equations (sub-equations for short), and the solitary wave solutions of the special type of these important nonlinear evolution equations are presented. Some exact solutions of these equations obtained before are special cases of our results in this paper.
Keywords :
nonlinear differential equations; solitons; nonlinear evolution equations; nonlinear partial differential equations; ordinary differential equations; positive fractional power term; solitary wave solutions; Differential equations; Equations; Mathematical model; Transforms; Generalized Boussinesq equation; Generalized Burgers equation; Generalized KdV equation; Solitary wave; Subsidiary ordinary differential equation method;
Conference_Titel :
Advanced Mechatronic Systems (ICAMechS), 2013 International Conference on
Conference_Location :
Luoyang
Print_ISBN :
978-1-4799-2518-6
DOI :
10.1109/ICAMechS.2013.6681714