The (𝐺′/𝐺)-expansion method for a discrete nonlinear Schrödinger equation

Pramana

Sheng Zhang1¹  Jin-Mei Ba¹  Ying-Na Sun¹  Ling Dong¹ 

[1] Department of Mathematics, Bohai University, Jinzhou 121013, People’s Republic of China$$

关键词: Nonlinear differential-difference equations;    the (𝐺′/𝐺)-expansion method;    hyperbolic function solutions;    trigonometric function solutions;    rational solutions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

An improved algorithm is devised for using the (𝐺′/𝐺)-expansion method to solve nonlinear differential-difference equations. With the aid of symbolic computation, we choose a discrete nonlinear Schrödinger equation to illustrate the validity and advantages of the improved algorithm. As a result, hyperbolic function solutions, trigonometric function solutions and rational solutions with parameters are obtained, from which some special solutions including the known solitary wave solution are derived by setting the parameters as appropriate values. It is shown that the improved algorithm is effective and can be used for many other nonlinear differential-difference equations in mathematical physics.

【 授权许可】

Unknown