This study presents a numerical investigation of electromagnetic (EM) soliton propagation and collision phenomena in an anisotropic ferromagnetic medium characterized by higher-order nonlinearity and dispersion. The interaction between the magnetization of the medium and the magnetic field component of the EM wave is studied by solving Maxwell’s equations coupled with the Landau-Lifshitz (L-L) equation, which governs the magnetization dynamics. The resulting nonlinear magnetization behavior is described by a generalized derivative nonlinear Schrödinger (DNLS) equation, selected for its ability to capture complex spin interactions and electromagnetically induced nonlinear effects that are inadequately represented in conventional integrable models. To investigate the nonlinear spin excitations, we perform numerical simulations by solving the generalized DNLS equation using the Method of Lines, implemented in Mathematica software. This approach enables the identification of nonlinear spin excitations in the form of damped and amplitude-modulated one-soliton structures and phase-sensitive two-soliton collisions. Despite energy dissipation, the interactions retain spatial coherence, demonstrating the robustness of solitonic behavior under dispersive and nonlinear perturbations. Dispersion plays a critical role in modulating collision timing and shaping the post-interaction profiles. These findings advance the understanding of soliton robustness under perturbative conditions and provide valuable insights into nonlinear EM wave propagation with potential applications in magneto-optic switching and soliton-based waveguide technologies.
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