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2009•Journal of Baoji University of Arts and SciencesRequires access

New exact solutions for higher-order nonlinear Schrdinger equation

Zhengde Dai

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Abstract

Aim To search the new exact solutions of higher-order nonlinear Schrdinger equation.Methods F-expression method,the algebraic method based on the symbolic computation and the Epsilon software package under Maple environment are used to search the new exact solutions.Results Some new explicit travelling wave solutions are obtained,which contain hyperbola function solutions and triangle function solutions.Conclusion This method can be used to some other nonlinear equations.

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What this paper is about

Aim To search the new exact solutions of higher-order nonlinear Schrdinger equation.Methods F-expression method,the algebraic method based on the symbolic computation and the Epsilon software package under Maple environment are used to search the new exact solutions.Results Some new explicit travelling wave solutions are obtained,which contain hyperbola function solutions and triangle function solutions.Conclusion This method can be used to some other nonlinear equations.

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Available abstract

Aim To search the new exact solutions of higher-order nonlinear Schrdinger equation.Methods F-expression method,the algebraic method based on the symbolic computation and the Epsilon software package under Maple environment are used to search the new exact solutions.Results Some new explicit travelling wave solutions are obtained,which contain hyperbola function solutions and triangle function solutions.Conclusion This method can be used to some other nonlinear equations.

Key concepts: Maple, Hyperbola, Symbolic computation, Nonlinear system, Mathematics, Applied mathematics, Computation, Function (biology)

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