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
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;
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.2011.6016479
