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 nonlin-earity.Firstly,based on wave variables...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 nonlin-earity.Firstly,based on wave variables,the equation is transformed into an ordinary differential equation.Then,under the parameter conditions,we obtain the Hamiltonian system and phase portraits.Finally,traveling wave solutions which contains solitary,periodic and kink wave so-lutions are constructed by integrating along the homoclinic or heteroclinic orbits.In addition,by choosing appropriate values to parameters,different types of structures of solutions can be displayed graphically.Moreover,the computational work and it’sfigures show that this tech-nique is influential and efficient.展开更多
基金supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365+1 种基金Hunan Province Graduate Research Innovation,China Project No.CX20231208Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15).
文摘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 nonlin-earity.Firstly,based on wave variables,the equation is transformed into an ordinary differential equation.Then,under the parameter conditions,we obtain the Hamiltonian system and phase portraits.Finally,traveling wave solutions which contains solitary,periodic and kink wave so-lutions are constructed by integrating along the homoclinic or heteroclinic orbits.In addition,by choosing appropriate values to parameters,different types of structures of solutions can be displayed graphically.Moreover,the computational work and it’sfigures show that this tech-nique is influential and efficient.
