Solitonic transport of energy–momentum in a deformed magnetic medium

Abstract

The energy–momentum transport phenomenon between interacting spins in a deformed ferromagnetic medium is investigated theoretically. The spin dynamics of a one-dimensional (1D) classical continuum Heisenberg ferromagnetic spin system in the presence of varying exchange interactions is considered. The state of the 1D continuum spin system with varying exchange interactions is mapped onto a moving helical space curve in E3. The results are recast in conjunction with the evolution of energy and current densities of the deformed ferromagnetic medium, through a knowledge of the underlying geometry of this system. A set of soliton solutions for energy and current densities is constructed by employing the sine–cosine method coupled with symbolic computation. The evolution and propagation of solitonic energy–momentum transport under the influence of competing linear and nonlinear inhomogeneities have been analyzed briefly.