An extended sine-Gordon equation method is proposed to construct exact travelling wave solutions to Maccari's equation based upon a generalized sine-Gordon equation. It is shown that more new travelling wave solut...An extended sine-Gordon equation method is proposed to construct exact travelling wave solutions to Maccari's equation based upon a generalized sine-Gordon equation. It is shown that more new travelling wave solutions can be found by this new method, which include bell-shaped soliton solutions, kink-shaped soliton solutions, periodic wave solution, and new travelling waves.展开更多
<正> In this work,by means of a generalized method and symbolic computation,we extend the Jacobi ellipticfunction rational expansion method to uniformly construct a series of stochastic wave solutions for stocha...<正> In this work,by means of a generalized method and symbolic computation,we extend the Jacobi ellipticfunction rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolutionequations.To illustrate the effectiveness of our method,we take the(2+1)-dimensional stochastic dispersive long wavesystem as an example.We not only have obtained some known solutions,but also have constructed some new rationalformal stochastic Jacobi elliptic function solutions.展开更多
文摘An extended sine-Gordon equation method is proposed to construct exact travelling wave solutions to Maccari's equation based upon a generalized sine-Gordon equation. It is shown that more new travelling wave solutions can be found by this new method, which include bell-shaped soliton solutions, kink-shaped soliton solutions, periodic wave solution, and new travelling waves.
基金The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000
文摘<正> In this work,by means of a generalized method and symbolic computation,we extend the Jacobi ellipticfunction rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolutionequations.To illustrate the effectiveness of our method,we take the(2+1)-dimensional stochastic dispersive long wavesystem as an example.We not only have obtained some known solutions,but also have constructed some new rationalformal stochastic Jacobi elliptic function solutions.
