The modified simple equation method and its applications to (2+1)-dimensional systems of nonlinear evolution equations

Scientific Research and Essays

Elsayed¹ 

关键词: Modified simple equation method;    Konopelchneko-Dubrovsky equations;    Nizhnik-Novikov-Vesselov equations;    exact traveling solutions;    solitary wave solutions.;   

DOI  :  10.5897/SRE2013.5674

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

The modified simple equation method is employed to find the exact traveling wave solutions involving parameters for nonlinear systems of evolution equations via the (2+1)-dimensional Konopelchneko-Dubrovsky equations and the (2+1)-dimensional Nizhnik-Novikov-Vesselov equations in two dimensions. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the modified simple equation method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

【 授权许可】

CC BY