Title :
New travelling wave solutions for the Loltka-Volterra diffusion equations
Author :
Song, Jiang ; Yong, Luo
Author_Institution :
Coll. of Math. & Inf. Sci., Wenzhou Univ., Wenzhou, China
Abstract :
It is important to investigate the travelling wave solutions of nonlinear partial differential equations in the scientific field such as fluid mechanics, plasma physics, optical fibers, biology and so on. In this paper, with the help of computer algebraic system, some new exact travelling wave solutions for the Loltka-Volterra diffusion equations are obtained by an extended mapping of the Riccati equations method.
Keywords :
diffusion; partial differential equations; wave equations; Loltka-Volterra diffusion equations; Riccati equations method; computer algebraic system; fluid mechanics; nonlinear partial differential equations; optical fibers; plasma physics; travelling wave solutions; Computers; Mathematical model; Nonlinear equations; Physics; Riccati equations; Lotka-Volterra diffusion system; Riccati method; travelling wave solutions;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952645
