Affiliation:
1. College of Applied Mathmatics, Chengdu University of Information Technology, Chengdu 610225, China
2. School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu 611731, China
Abstract
In this paper, we investigate the generalized Radhakrishnan–Kundu–Lakshmanan equation with polynomial law using the method of dynamical systems. By using traveling-wave transformation, the model can be converted into a singular integrable traveling-wave system. Then, we discuss the dynamical behavior of the associated regular system and we obtain bifurcations of the phase portraits of the traveling-wave system under different parameter conditions. Finally, under different parameter conditions, we obtain the exact periodic solutions, and the peakon, homoclinic and heteroclinic solutions.
Funder
National Natural Science Foundation of China
Sichuan Natural Science Foundation
Sichuan Science and Technology Program
General Projects of Local Science Technology Development Funds Guided by the Central Government
Key Project of Scientific Research and Innovation Team of Chengdu University of Information Technology
Talent Introduction Program of Chengdu University of Information Technology
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)