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2013•Journal of Sichuan Normal UniversityRequires access

Soliton Solutions to a Generalized High-Order Nonlinear Schrdinger Equation with Variable Coefficients

Yunxi Guo

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Abstract

The bilinear Hirota method and the symbolic computation system Maple are employed to investigate a generalized high-order nonlinear Schrdinger equation with variable coefficients,one-soliton solution,two-soliton solution and multi-soliton solution are given.Moreover,a Bcklund transformation for the equation is constructed,another soliton solution for the equation is also obtained by using the Bcklund transformation.

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What this paper is about

The bilinear Hirota method and the symbolic computation system Maple are employed to investigate a generalized high-order nonlinear Schrdinger equation with variable coefficients,one-soliton solution,two-soliton solution and multi-soliton solution are given.Moreover,a Bcklund transformation for the equation is constructed,another soliton solution for the equation is also obtained by using the Bcklund transformation.

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Available abstract

The bilinear Hirota method and the symbolic computation system Maple are employed to investigate a generalized high-order nonlinear Schrdinger equation with variable coefficients,one-soliton solution,two-soliton solution and multi-soliton solution are given.Moreover,a Bcklund transformation for the equation is constructed,another soliton solution for the equation is also obtained by using the Bcklund transformation.

Key concepts: Soliton, Transformation (genetics), Mathematics, Symbolic computation, Maple, Bilinear form, Variable (mathematics), Bilinear interpolation

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