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| TRAVELING WAVE SOLUTIONS AND THEIR STABILITY OF NONLINEAR SCHRöDINGER EQUATION WITH WEAK DISSIPATION |
| Yancong Xu,Tianzhu Lan,Yongli Liu |
| (Dept. of Math., Hangzhou Normal University, Zhejiang 310036, PR China) |
| DOI： |
| Abstract: |
| In this paper, several new constant-amplitude and variable-amplitude wave solutions (namely, traveling wave solutions) of a generalized nonlinear Schr?dinger
equation are investigated by using the extended homogeneous balance method, where the balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. In addition, stability analysis of those solutions are also conducted by regular phase plane technique. |
| Key words: nonlinear Schr?dinger equation; extended homogeneous balance method; amplitude wave solutions; stability |