|
|||||
|
|
Bi-solitons, breather solution family and rogue waves for the (2+1)-dimensional nonlinear Schr\"{o}dinger equation |
|
| Authors: | Changfu Liu Min Chen Ping Zhou and Longwei Chen |
| Institution: | School of Mathematics, Wenshan University, Wenshan, 663000, China,School of Mathematics, Wenshan University, Wenshan, 663000, China,School of Mathematics, Wenshan University, Wenshan, 663000, China and School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China |
| 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 |
| Keywords: | Nonlinear Schr\"{o}dinger equation Exp-function method bi-soliton breather solution rogue wave |
| 点击此处可从《Journal of Applied Analysis & Computation》浏览原始摘要信息 | |
| 点击此处可从《Journal of Applied Analysis & Computation》下载免费的PDF全文 | |