摘要
An extended subequation rational expansion method is presented and used to construct some exact,analyt-ical solutions of the (2+1)-dimensional cubic nonlinear Schrdinger equation.From our results,many known solutionsof the (2+1)-dimensional cubic nonlinear Schrdinger equation can be recovered by means of some suitable selections ofthe arbitrary functions and arbitrary constants.With computer simulation,the properties of new non-travelling waveand coefficient function's soliton-like solutions,and elliptic solutions are demonstrated by some plots.
An extended subequation rational expansion method is presented and used to construct some exact,analyt- ical solutions of the (2+1)-dimensional cubic nonlinear Schrdinger equation.From our results,many known solutions of the (2+1)-dimensional cubic nonlinear Schrdinger equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants.With computer simulation,the properties of new non-travelling wave and coefficient function's soliton-like solutions,and elliptic solutions are demonstrated by some plots.
作者
GUO Wei-Ming~1 LI Biao~(1,3)and CHEN Yong~(1,2,3)~1 Nonlinear Science Center and Department of Mathematics,Ningbo University,Ningbo 315211,China~2 Institute of Theoretical Computing,East China Normal University,Shanghai 200062,China~3 Key Laboratory of Mathematics Mechanization,the Chinese Academy of Sciences,Beijing 100080,China
基金
The project supported by Natural Science Foundation of Zhejiang Province of China under Grant Nos.Y604056 and 605408
the Doctoral Foundation of Ningbo City under Grant No.2005A61030
Ningbo Natural Science Foundation under Grant No.2007A610049
