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2016•Journal of Applied Analysis & ComputationOpen access

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

Changfu Liu, Min Chen, Ping Zhou, Longwei Chen

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Breather, Rogue wave, Matrix similarity, Nonlinear system, Nonlinear Schrödinger equation, Transformation (genetics), Mathematical analysis, Mathematics

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