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Exact soliton solutions of a modified Landau-Lifshitz equation for themagnetization of conducting ferromagnet in the presence of a spin-polarizedcurrent are obtained by means of inverse scattering transformation. From theanalytical solution effects of spin-current on the frequency, wave number, anddispersion law of spin wave are investigated. The one-soliton solutionindicates obviously current-driven precession and periodic shape-variation aswell. The inelastic collision of solitons by which we mean the shape changebefore and after collision appears due to the spin current. We, moreover, showthat complete inelastic collisions can be achieved by adjusting spectrum andcurrent parameters. This may lead to a potential technique for shape control ofspin wave.Comment: 8 pages, 2 figure

Soliton solution of continuum magnetization equation in a conducting ferromagnet with a spin-polarized current