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Radhakrishnan-Kundu-Lakshmanan方程的分支相图及非线性波解
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Abstract:
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 < 0和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 < 0 and 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.
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