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
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;
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
DOI :
10.1109/ICACC.2011.6016478
