2010Chinese Physics LettersOpen access

New Solitary Solutions of (2+1)-Dimensional Variable Coefficient Nonlinear Schrödinger Equation with an External Potential

Zhaohui Song, Ding Qi, Jianqin Mei, Hongqing Zhang

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Abstract

By a series of transformations, the (2+1)-dimensional variable coefficient nonlinear Schrödinger equation can turn to the Klein–Gordon equation. Many new double travelling wave solutions of the Klein–Gordon equation are obtained. Thus, the new solitary solutions of the variable coefficient nonlinear Schrödinger equation with an external potential can be found.

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By a series of transformations, the (2+1)-dimensional variable coefficient nonlinear Schrödinger equation can turn to the Klein–Gordon equation. Many new double travelling wave solutions of the Klein–Gordon equation are obtained. Thus, the new solitary solutions of the variable coefficient nonlinear Schrödinger equation with an external potential can be found.

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Available abstract

By a series of transformations, the (2+1)-dimensional variable coefficient nonlinear Schrödinger equation can turn to the Klein–Gordon equation. Many new double travelling wave solutions of the Klein–Gordon equation are obtained. Thus, the new solitary solutions of the variable coefficient nonlinear Schrödinger equation with an external potential can be found.

Key concepts: Variable coefficient, Variable (mathematics), Nonlinear system, Nonlinear Schrödinger equation, Physics, Kadomtsev–Petviashvili equation, Mathematical analysis, Schrödinger equation

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