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2011•Yinshan Academic JournalRequires access

Explicit Exact Solutions to the Nonlinear Discrete Schrdinger Equation

Li Shu

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Abstract

In the paper,the generalized projective Riccati equation method is developed to solve nonlinear difference-differential equation(s).To illustrate the application of the method,the nonlinear discrete Schrdinger equation is chosen as an example and a number of exact solutions of the equation are obtained with the help of symbolic computation system Maple,which include hyperbolic function solutions and trigonometric function solutions.

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What this paper is about

In the paper,the generalized projective Riccati equation method is developed to solve nonlinear difference-differential equation(s).To illustrate the application of the method,the nonlinear discrete Schrdinger equation is chosen as an example and a number of exact solutions of the equation are obtained with the help of symbolic computation system Maple,which include hyperbolic function solutions and trigonometric function solutions.

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Available abstract

In the paper,the generalized projective Riccati equation method is developed to solve nonlinear difference-differential equation(s).To illustrate the application of the method,the nonlinear discrete Schrdinger equation is chosen as an example and a number of exact solutions of the equation are obtained with the help of symbolic computation system Maple,which include hyperbolic function solutions and trigonometric function solutions.

Key concepts: Riccati equation, Mathematics, Hyperbolic function, Algebraic Riccati equation, Nonlinear system, Symbolic computation, Trigonometric functions, Maple

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