Solitary,periodic,kink wave solutions of a perturbed high-order nonlinear Schrödinger equation via bifurcation theory
作者机构：School of MathematicsHunan Institute of Science and TechnologyYueyangHunan 414006China School of Mathematics and Computational ScienceHunan University of Science and TechnologyXiangtanHunan 411201China
出 版 物：《Propulsion and Power Research》 (推进与动力（英文）)
年 卷 期：2024年第13卷第3期
页 面：433-444页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297 Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365 Hunan Province Graduate Research Innovation,China Project No.CX20231208 Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15)
主 题：Traveling wave solution High-order nonlinear Schrödinger equation Bifurcation theory Dynamical system Hamiltonian system
摘 要：In this paper,by using the bifurcation theory for dynamical system,we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic ***,based on wave variables,the equation is transformed into an ordinary differential ***,under the parameter conditions,we obtain the Hamiltonian system and phase ***,traveling wave solutions which contains solitary,periodic and kink wave so-lutions are constructed by integrating along the homoclinic or heteroclinic *** addition,by choosing appropriate values to parameters,different types of structures of solutions can be displayed ***,the computational work and it’sfigures show that this tech-nique is influential and efficient.
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