Dynamics of traveling wave solutions to a highly nonlinear Fujimoto–Watanabe equation

作     者：Li-Juan Shi Zhen-Shu Wen 师利娟;温振庶

作者机构：Fujian Province University Key Laboratory of Computational Science School of Mathematical Sciences Huaqiao University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2019年第28卷第4期

页      面：51-55页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11701191 and 11871232) the Program for Innovative Research Team in Science and Technology in University of Fujian Province,Quanzhou High-Level Talents Support Plan(Grant No.2017ZT012) the Subsidized Project for Cultivating Postgraduates’ Innovative Ability in Scientific Research of Huaqiao University 

主　　题：highly nonlinear Fujimoto–Watanabe equation dynamics traveling wave solutions bifurcations 

摘      要：In this work, we apply the bifurcation method of dynamical systems to investigate the underlying complex dynamics of traveling wave solutions to a highly nonlinear Fujimoto–Watanabe equation. We identify all bifurcation conditions and phase portraits of the system in different regions of the three-dimensional parametric space, from which we present the sufficient conditions to guarantee the existence of traveling wave solutions including solitary wave solutions, periodic wave solutions, kink-like(antikink-like) wave solutions, and compactons. Furthermore, we obtain their exact expressions and simulations, which can help us understand the underlying physical behaviors of traveling wave solutions to the equation.