| Volume 6, Number 2, 2016, Pages 367-375 DOI：10.11948/2016028 |
| Bi-solitons, breather solution family and rogue waves for the (2+1)-dimensional nonlinear Schr\"{o}dinger equation |
| Changfu Liu,Min Chen,Ping Zhou,Longwei Chen |
| Keywords:Nonlinear Schr\"{o}dinger equation, Exp-function method, bi-soliton,
breather solution, rogue wave |
| Abstract: |
| In this paper, bi-solitons, breather solution family and rogue
waves for the (2+1)-Dimensional nonlinear Schr\"{o}dinger equations
are obtained by using Exp-function method. These solutions derived
from one unified formula which is solution of the standard (1+1)
dimension nonlinear Schr\"{o}dinger equation. Further, based on the
solution obtained by other authors, higher-order rational rogue wave
solution are obtained by using the similarity transformation. These
results greatly enriched the diversity of wave structures for the
(2+1)-dimensional nonlinear Schr\"{o}dinger equations |
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