Propagation of electromagnetic solitons in an antiferromagnetic spinladder medium

The interplay of bilinear ferromagnetic coupling with antiferromagnetic rung and diagonal coupling along with the magnetic field component of the electromagnetic wave (EMW) has been studied by solving the Maxwell’s equation together with the two coupled Landau–Lifshitz nonlinear spin equations for the magnetization of the medium. The magnetization dynamics of the spin ladder under the influence of EMW is governed by a two coupled generalized derivative non-linear Schrodinger (CGDNLS) equations. We invoke the Jacobi elliptic function method to solve the CGDNLS equations and the EMW propagation assumes the forms of kink, antikink, soliton, and breather excitations. We perform numerical analysis on the static spin configurations and explored the typical chaotic spatial structures.