Constructing Theta function solutions to the MEW equation based on symbolic computation
Hongzhang Wang 1, Conggang Liang2
COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 125-128
1School of Mathematics and Information Science Pingdingshan University, Pingdingshan, China 467000
2School of Mathematics and Information Science Pingdingshan University, Pingdingshan, China 467000
An accurate solution of the nonlinear partial differential equation has been the focus of studies for many years. This solution is helpful for understanding complex physics phenomena and dynamic processes. An auxiliary equation represented by theta functions is constructed by using the auxiliary equation method, which is applied to the modified equal width function. Double periodical wave solutions are numerically simulated using the accurate solution obtained by the symbolic computation software Mathematica. Results revealed that the auxiliary equation method is an effective and powerful mathematic tool for solving nonlinear evolution equations in mathematical physics using Mathematical.