Solitons and Bifurcations for the Generalized Tzitzéica Type Equation in Nonlinear Fiber Optics  

作　　者：Xujie Jiang Xujie Jiang(College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China)

机构地区：[1]College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第10期3042-3060,共19页应用数学与应用物理（英文）

摘　　要：Solitons and bifurcations for the generalized Tzitzéica type equation are studied by using the theory of dynamical systems and Hamilton function. With the help of Maple and bifurcation theory of differential equations, the bifurcation parameter conditions and all the bifurcation phase portraits are obtained. Because the same energy value of the Hamiltonian function is corresponding to the same orbit, thus the periodic wave solutions, bright soliton and dark soliton solutions are defined.Solitons and bifurcations for the generalized Tzitzéica type equation are studied by using the theory of dynamical systems and Hamilton function. With the help of Maple and bifurcation theory of differential equations, the bifurcation parameter conditions and all the bifurcation phase portraits are obtained. Because the same energy value of the Hamiltonian function is corresponding to the same orbit, thus the periodic wave solutions, bright soliton and dark soliton solutions are defined.

关 键 词：Generalized Tzitzéica Type Equation Homoclinic Orbit Periodic Wave Solution Bright Soliton Dark Soliton 

分 类 号：O17[理学—数学]