广义三阶非线性薛定谔方程的行波解

Traveling wave solutions of generalized third-order nonlinear Schr?dinger equations

利用改进的双曲正切函数展开法研究了广义三阶非线性薛定谔方程的行波解,得到了其双曲函数解、有理函数解和三角函数解的精确表达式,其中两组双曲函数解的精确表达式是新解.利用Maple软件给出了解在具体参数值下的3D图和2D图,并通过分析解的性态得出了相应解的类型.

In this paper, the traveling wave solutions of the generalized third-order nonlinear Schr9dinger equation are studied by using the hyperbolic tanh-function expansion method, and the exact expressions of hyperbolic, rational and trigonometric function solutions are obtained.The exact expressions of the solutions of two sets of hyperbolic functions are new solutions.The 3D and 2D graphs under specific parameter values are given by Maple software, and the types of corresponding solutions are obtained by analyzing the properties of the solutions.