Radhakrishnan-Kundu-Lakshmanan方程的分支相图及非线性波解
Bifurcation Phase Portraits and Nonlinear Wave Solutions for the Radhakrishnan-Kundu-Lakshmanan Equation
摘要: 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。
Abstract: 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.
文章引用：傅健娇, 周丹丹, 许悦, 马天胤, 刘猛. Radhakrishnan-Kundu-Lakshmanan方程的分支相图及非线性波解[J]. 应用数学进展, 2025, 14(5): 357-370. https://doi.org/10.12677/aam.2025.145265

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