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Variable-Coefficient Mapping Method Based on Elliptical Equation and Exact solutions to Nonlinear SchrSdinger Equations with Variable Coefficient

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Communications in Theoretical Physics 2006年第4X期46卷 656-662页

作者： GE Jian-Ya WANG Rui-Min DAI Chao-Qing ZHANG Jie-Fang Normal Department of Humanities College of Jinhua Professional Technology Jinhua 321000 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, by means of the variable-coefficient mapping method based on elliptical equation, we obtain explicit solutions of nonlinear Schrodinger equation with variable-coefficient. These solutions include Jacobian elliptic function solutions, solitary wave solutions, soliton-like solutions, and trigonometric function solutions, among which some are found for the first time. Six figures are given to illustrate some features of these solutions. The method can be applied to other nonlinear evolution equations in mathematical physics.

关键词： variable-coefficient mapping method based on elliptical equation nonlinear Schrodinger equation Jacobian elliptic function solutions solitonic solutions trigonometric function solutions

Exact solutions of (2+1)-Dimensional Boiti-Leon-Pempinelle Equation with (G'/G)-Expansion Method

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Communications in Theoretical Physics 2010年第7期54卷 35-37页

作者：熊守全夏铁成 Department of Mathematics Shanghai University Key Laboratory of Mathematic Mechanization Chinese Academy of Sciences

In this paper,we construct exact solutions for the (2+1)-dimensional Boiti-Leon-Pempinelle equation byusing the (G'/G)-expansion method,and with the help of *** a result,non-travelling wave solutions with threearbitrary functions are obtained including hyperbolic function solutions,trigonometric function solutions,and *** method can be applied to other higher-dimensional nonlinear partial differential equations.

关键词： (2+1)-dimensional Boiti-Leon-Pempinelle equation (G′/G)-expansion method hyperbolic function solutions trigonometric function solutions

New Exact solutions of the Integrable Broer-Kaup Equations in （2＋ 1）-DimensionalSpaces

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Communications in Theoretical Physics 2004年第4期41卷 499-501页

作者： LIDe-Sheng ZHANGHong-Qing DepartmentofAppliedMathematics DalianUniversityofTechnologyDalian116024China

In this paper,by improving some procedure of extended tanh-function method,some new exact solutions to the integrable Broer-Kaup equations in(2 + 1)-dimensional spaces are obtained,which include soliton-like solutions... 详细信息

关键词： extended tanh method soliton-like solutions trigonometric function solutions solitary waves rational solutions

New Exact Traveling Wave solutions to（2+1）-Dimensional GMKPI Equation

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New Exact Traveling Wave Solutions to（2+1）-Dimensional GMK...