Bifurcation Phase Portraits and Nonlinear Wave Solutions for the Radhakrishnan-Kundu-Lakshmanan Equation

本文应用动力系统分支方法研究了Radhakrishnan-Kundu-Lakshmanan方程的分支相图和非线性波解，给出了µ µ > 0时RKL方程的分支相图，同时，对λ、τ、µ和n的不同参数值条件下的分析，结合特殊轨道进行积分得到了RKL方程的12个新的非线性波解。In this work, the bifurcation phase portraits and exact nonlinear solutions of the Radhakrishnan-Kundu-Lakshmanan equation (RKL) are studied by using the bifurcation method of dynamical systems. The bifurcation phase portraits of the RKL equation are presented when µ µ > 0. Additionally, by analyzing different parameter values of λ, τ, µ and n, and integrating along specific orbits, 12 new nonlinear wave solutions of the RKL equation are obtained.