DocumentCode
3270672
Title
Symbolic computation and construction of exact traveling wave solutions to the variant Boussinesq equations
Author
Liang, Conggang ; Zhuang, Zhiru
Author_Institution
Sch. of Math. & Inf. Sci., Pingdingshan Univ., Pingdingshan, China
fYear
2011
fDate
18-20 Jan. 2011
Firstpage
570
Lastpage
573
Abstract
In this paper, the auxiliary equation method is used to seek exact solutions for the the variant Boussinesq equations. 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
partial differential equations; symbol manipulation; Boussinesq equation; auxiliary equation method; exact travelling wave solution; nonlinear evolution equation; symbolic computation; theta function; Equations; symbolic computation; the auxiliary equation method; the variant Boussinesq equations; 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.2011.6016478
Filename
6016478
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