二维离散饱和非线性薛定谔方程的精确解

摘要

用G′／G－展开法研究了二维离散饱和非线性薛定谔方程的精确解，得到了双曲函数形式的孤波解、三角函数形式的周期波解和代数形式的解；这些解具有较多的参数，选定参数时，可以得到暗孤子解等。%In this paper,the two-dimensional discrete nonlinear Schrdinger equation with saturable nonlin-earity is studied by the G′/G-expansion method,and the hyperbolic function solitary wave solutions,trigonomet-ric function periodic wave solutions and rational wave solutions are derived.These exact solutions have many arbi-trary parameters and the solitary wave solutions are obtained when we set the arbitrary parameters to constants.