| 二维离散饱和非线性薛定谔方程的精确解 |
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| 作者单位： | ;1.河南科技大学数学与统计学院 |
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| 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.
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| 关 键 词： | G'/G-展开法 二维离散饱和非线性薛定谔方程 精确解 暗孤子 |
Exact Solutions of the Two-Dimensional Discrete Nonlinear Schrdinger Equation with Saturable Nonlinearity |
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| Institution: | ,School of Mathematics and Statistics,Henan University of Science and Technology |
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| Abstract: | In this paper,the two-dimensional discrete nonlinear Schrdinger equation with saturable nonlinearity is studied by the G' / G-expansion method,and the hyperbolic function solitary wave solutions,trigonometric function periodic wave solutions and rational wave solutions are derived. These exact solutions have many arbitrary parameters and the solitary wave solutions are obtained when we set the arbitrary parameters to constants. |
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| Keywords: | G'/G-expansion method two-dimensional discrete nonlinear Schrdinger equation with sat urable nonlinearity exact solution dark soliton solution |
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