DocumentCode
3270690
Title
Construction of theta function solutions to KdV-MKdV equation based on mathematical
Author
Li, Yongjie ; Zhuang, Zhiru
Author_Institution
Coll. of Math. & Inf. Sci, Pingdingshan Univ., Pingdingshan, China
fYear
2011
fDate
18-20 Jan. 2011
Firstpage
574
Lastpage
577
Abstract
In this paper, the auxiliary equation method is used to seek exact solutions for the KdV-MKdV soliton equation. As a result, some traveling wave solutions in terms of theta functions 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
mathematics computing; partial differential equations; symbol manipulation; KdV-MKdV soliton equation; Mathematica; auxiliary equation method; symbolic computation; theta function solution; traveling wave solution; Computational modeling; Mathematical model; KdV-MKdV equation; symbolic computation; the auxiliary equation method; theta functions solutions;
fLanguage
English
Publisher
ieee
Conference_Titel
Advanced Computer Control (ICACC), 2011 3rd International Conference on
Conference_Location
Harbin
Print_ISBN
978-1-4244-8809-4
Electronic_ISBN
978-1-4244-8810-0
Type
conf
DOI
10.1109/ICACC.2011.6016479
Filename
6016479
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