Exact Solutions and Dynamical Behaviors of the Raman Soliton Model with Anti-Cubic Nonlinearity

被引：0
|
作者：
Xu, Guoan [1 ,2 ]
Li, Jibin [1 ,2 ]
Zhang, Yi [2 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Raman soliton model; Anti-cubic nonlinearity; Exact solution; Solitary wave; Peakon; Compacton solution; TRAVELING-WAVE SOLUTIONS; OPTICAL METAMATERIALS; LAW; EQUATION;
D O I：
10.1007/s12346-022-00642-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work investigates the exact solutions of the Raman soliton model with anti-cubic nonlinear in optical metamaterials. By travelling wave transformation, the model is transformed into a singular planar dynamical system with three singular straight lines. Using the bifurcation theory of dynamical systems, under different parameter conditions, bifurcations of phase portraits are studied. More than 30 exact explicit solutions of planar dynamical system are derived, such as exact periodic wave solutions, solitary wave solutions, kink and anti-kink wave solutions, periodic peakons and peakons as well as compacton solutions. In more general parametric conditions, all possible solutions are "caught in one dragnet".
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页数：21
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