2009Journal of Anhui UniversityRequires access

Exact solutions to nonlinear Schrdinger equations

Han Jia-hua

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Abstract

In the paper,the exact solutions to a new form nonlinear Schrdinger equation were found with the use of the extended Riccati-function method based on mapping method,and the solitary solutions,periodic wave solutions and variable separation solutions were obtained.The method could also be used to explore exact solutions for other nonlinear evolution equations.

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What this paper is about

In the paper,the exact solutions to a new form nonlinear Schrdinger equation were found with the use of the extended Riccati-function method based on mapping method,and the solitary solutions,periodic wave solutions and variable separation solutions were obtained.The method could also be used to explore exact solutions for other nonlinear evolution equations.

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Available abstract

In the paper,the exact solutions to a new form nonlinear Schrdinger equation were found with the use of the extended Riccati-function method based on mapping method,and the solitary solutions,periodic wave solutions and variable separation solutions were obtained.The method could also be used to explore exact solutions for other nonlinear evolution equations.

Key concepts: Nonlinear system, Riccati equation, Mathematics, Exact solutions in general relativity, Periodic wave, Mathematical analysis, Function (biology), Variable (mathematics)

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