Title :
Symbolic computation and construction of theta function solutions to the mKdV-ZK equation
Author :
Wang, Hongzhang ; Wang, Gang
Author_Institution :
Sch. of Math. & Inf. Sci., Pingdingshan Univ., Pingdingshan, China
Abstract :
In this paper, theta functions and the auxiliary equation method is used to seek exact solutions for the the mKdV-ZK equation. As a result, some theta function solutions are successfully obtained with the aid of symbolic computation for the first time. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.
Keywords :
differential equations; nonlinear equations; symbol manipulation; auxiliary equation method; mKdV-ZK equation; nonlinear evolution equations; powerful mathematical tool; symbolic computation; theta function solutions; Computers; Mathematical model; Nonlinear equations; Solitons; symbolic computation; the auxiliary equation method; the mKdV-ZK equation; theta functions solutions;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777825
