Bifurcations and traveling wave solutions for a fourth-order integrable nonlinear Schrodinger equation

Authors：Liu, Minghuan^*; Zheng, Yuanguang

Source：Optik, 2022, 255: 168632.

DOI：10.1016/j.ijleo.2022.168632

• Schrodinger equation
• Periodic wave solution
• Anti-kink wave solution
• Kink wave solution
• Singular wave

In this paper, we study a fourth-order integrable nonlinear Schrodinger equation by bifurcation method of differential dynamical system. The study of the plane traveling wave system derives a binary Hamiltonian function. Based on Hamiltonian function, we obtain the bifurcation of the plane traveling wave system. Unfortunately, the Hamiltonian function is a hyper-elliptic function, it is impossible to find all bounded traveling wave solutions. We have to consider the traveling wave solution under some special parameter conditions. At the same time, we use the modified simplest equation method to find more traveling wave solutions for the fourth-order integrable nonlinear Schrodinger equation.

• Institution
  南昌航空大学