Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and N solitons for a generalized (3+1)-dimensional variable-coefficient modified Kadomtsev–Petviashvili system. (January 2021)

• Record Type: Journal Article
• Authors: Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yuan, Yu-Qiang; Zhang, Chen-Rong; Chen, Su-Su
• Is Part Of: Applied mathematics letters. Volume 111(2020)
• Publication Date: 2021-01
• Subjects: Magneto-optics -- Ferromagnetic materials, fluids and plasmas -- Symbolic computation -- Generalized (3+1)-dimensional variable-coefficient modified Kadomtsev–Petviashvili equation -- Bäcklund transformations -- Bilinear forms with solitons; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106627
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: 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/dust–ion-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-Bäcklund 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.