Magneto-optical/ferromagnetic-material computation: Backlund transformations, bilinear forms and N solitons for a generalized (3+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system

Of current interest, magneto-optics deals with the phenomena associated with magnetic effects on matter as it emits light, having the potential applications in computer data-storage and waveguides, while ferromagnetic materials are the ones displaying ferromagnetism, such as the various forms of iron, steel, cobalt, nickel, and their alloys. In this paper, in magneto-optics, ferromagnetism, fluid mechanics and plasma physics, we investigate a generalized (3+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system for the electromagnetic waves in a ferromagnetic material, or water waves, or dust-acoustic/ion-acoustic/dustion-acoustic waves in a plasma. Special cases of the system in those fields are listed out, such as one special case in magneto-optics, which describes the electromagnetic waves in an isotropic charge-free ferromagnetic thin film with the potential application in magneto-optic recording. With symbolic computation, we work out (1) two sets of the variable-coefficient-dependent auto-Backlund transformations along with some solitonic features, (2) the variable-coefficient-dependent bilinear forms with the Hirota method and (3) two branches of the variable-coefficient-dependent N-soliton solutions with N being a positive integer. Relevant constraints on the variable coefficients are presented. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

Magneto-optics studies the magnetic effects on matter emitting light, with potential applications in computer data storage and waveguides. Ferromagnetic materials exhibit ferromagnetism and include various forms of iron, steel, cobalt, nickel, and their alloys. The research paper investigates a generalized system for electromagnetic waves in ferromagnetic materials, water waves, and waves in plasma, deriving important results through symbolic computation and presenting constraints on variable coefficients.