DocumentCode
3284604
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
fYear
2011
fDate
15-17 April 2011
Firstpage
1757
Lastpage
1760
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-8036-4
Type
conf
DOI
10.1109/ICEICE.2011.5777825
Filename
5777825
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