BI-SOLITONS, BREATHER SOLUTION FAMILY AND ROGUE WAVES FOR THE (2+1)-DIMENSIONAL NONLINEAR SCHR&#214;DINGER EQUATION

Changfu Liu; Min Chen; Ping Zhou; Longwei Chen

doi:10.11948/2016028

2016 Volume 6 Issue 2

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Changfu Liu, Min Chen, Ping Zhou, Longwei Chen. BI-SOLITONS, BREATHER SOLUTION FAMILY AND ROGUE WAVES FOR THE (2+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 367-375. doi: 10.11948/2016028

Citation:

Changfu Liu, Min Chen, Ping Zhou, Longwei Chen. BI-SOLITONS, BREATHER SOLUTION FAMILY AND ROGUE WAVES FOR THE (2+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 367-375. doi: 10.11948/2016028

BI-SOLITONS, BREATHER SOLUTION FAMILY AND ROGUE WAVES FOR THE (2+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION

1 School of Mathematics, Wenshan University, Wenshan, 663000, China;
2 School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China

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Abstract

Abstract

In this paper, bi-solitons, breather solution family and rogue waves for the (2+1)-Dimensional nonlinear Schrödinger 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 Schrödinger 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 Schrödinger equations.
- Nonlinear Schrödinger equation /
- Exp-function method /
- bi-soliton /
- breather solution /
- rogue wave
MSC: 35Q55;35A20;35A25;35C08

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References

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