期刊名称:International Journal of Differential Equations
印刷版ISSN:1687-9643
电子版ISSN:1687-9651
出版年度:2012
卷号:2012
DOI:10.1155/2012/596762
出版社:Hindawi Publishing Corporation
摘要:We utilize the improved Riccati equation method to construct more general exact solutions to nonlinear equations. And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. The method appears to be easier and more convenient by means of a symbolic computation system. Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics.