Periodic and rogue waves for Heisenberg models of ferromagnetic spin chains with fractional beta derivative evolution and obliqueness

The nonlinear Schrodinger equation (NLSE) in (2 + 1) dimensions with beta derivative evolution is considered here to study nonlinear coherent structures for Heisenberg models of ferromagnetic spin chain with magnetic exchanges. Such structures are studied by determining the analytical solutions of NLSE having beta derivative evolution via two different mathematical techniques. The dynamical behaviors of equilibrium points are also studied by deriving the planar dynamical system from the considered equation. Some of obtained analytical solutions are described with graphical representation by varying beta derivative parameter (BDP) and obliqueness. It is revealed that the obliqueness is extensively affected both on the plane wave dynamics as well as equilibrium points of the system, whereas the equilibrium points are independent of BDP.

Automated summary

The study investigates nonlinear coherent structures in the (2+1) dimensional nonlinear Schrodinger equation with beta derivative evolution for Heisenberg models of ferromagnetic spin chains. Analytical solutions are determined using two different mathematical techniques, and the dynamical behavior of equilibrium points is studied by deriving a planar dynamical system. The analysis reveals that obliqueness significantly impacts the system's dynamics, while the equilibrium points are found to be independent of the beta derivative parameter.