Abstract
Magnetostatic waves propagating in a yttrium iron garnet thin film will evolve according to the nonlinear Schr\odinger equation, which supports soliton formation owing to a balance of the dispersive and nonlinear effects. Numerical simulations of this equation are performed to show that a symmetric initial pulse will evolve into a symmetric single or multipeak structure depending on the amplitude of the initial pulse. Simulations performed with the addition of a nonlinear dispersive term and a third-order linear dispersive term show the development of significant asymmetry of the two- and three-soliton structure. Comparison of the calculated multisoliton profiles with previous experimental data show a qualitative similarity, thereby providing evidence for the necessity of higher-order terms for the modeling of soliton formation.
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