扩展的高阶非线性Schrödinger方程的有理周期解

Rational periodic solutions for the extended higher-order Schrödinger

在动力系统和分叉理论领域,形式丰富的精确解对解释一些相应的现象变得越来越重要,应用改进的辅助方程展开方法,并借助于数学软件Maple,对两个扩展的高阶Schrödinger方程进行了研究,最终得到了这两个方程多种类型有理形式的周期解.

In the field of dynamical systems and bifurcation theory,exact solutions with rich forms are becoming more and more important to explain some corresponding phenomena.The extended higher order Schrödinger equations is researched.By means of the extended subsidiary equation expansion method and symbolic computation systems Maple,and finally obtains periodic solutions of these two equations in various types of rational forms.