The bilinear form of the(2+1)-dimensional non-isospectral AKNS system is derived.Its N-soliton solutionsare obtained by using the Hirota method.As a reduction,a(2+1)-dimensional non-isospectral Schrdinger equation a...The bilinear form of the(2+1)-dimensional non-isospectral AKNS system is derived.Its N-soliton solutionsare obtained by using the Hirota method.As a reduction,a(2+1)-dimensional non-isospectral Schrdinger equation andits N-soliton solutions are constructed.展开更多
2N line-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equation can be presented by resorting tothe Hirota bilinear method.In this paper,N periodic-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equation...2N line-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equation can be presented by resorting tothe Hirota bilinear method.In this paper,N periodic-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equationare obtained from the 2N line-soliton solutions by selecting the parameters into conjugated complex parameters in pairs.展开更多
A special two-soliton solution of sine-Gordon equation is obtained by using the Hirota direct method. It is shown in a mass-centre system how two kinks move and interact with each other.
基金*The project supported by National Natural Science Foundation of China under Grant No. 10471139 and Hong Kong Research Grant Council under Grant No. HKBU/2016/03P
基金supported by China Postdoctoral Science Foundation and National Natural Science Foundation of China under Grant No.10771207
文摘The bilinear form of the(2+1)-dimensional non-isospectral AKNS system is derived.Its N-soliton solutionsare obtained by using the Hirota method.As a reduction,a(2+1)-dimensional non-isospectral Schrdinger equation andits N-soliton solutions are constructed.
基金supported by the State Key Basic Research Program of China under Grant No.2004CB318000National Natural Science Foundation of China under Grant No.10771072
文摘2N line-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equation can be presented by resorting tothe Hirota bilinear method.In this paper,N periodic-soliton solutions of the (3+1)-dimensional Jimbo-Miwa equationare obtained from the 2N line-soliton solutions by selecting the parameters into conjugated complex parameters in pairs.
文摘A special two-soliton solution of sine-Gordon equation is obtained by using the Hirota direct method. It is shown in a mass-centre system how two kinks move and interact with each other.