Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System

• Xin-Yi Gao ^[1] ; Yong-Jiang Guo ^[1] ; Wen-Rui Shan ^[1] ; Zhong Du ^[2] ; Yu-Qi Chen ^[1]
  1. [1] Beijing University of Posts and Telecommunications

     Beijing University of Posts and Telecommunications

     China

     
  2. [2] Beijing University of Posts and Telecommunications & North China Electric Power University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
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• Resumen

  • In this paper, we symbolically compute an extended (3+1)-dimensional variablecoefficient modified Kadomtsev-Petviashvili system for the electromagnetic waves in a certain ferromagnetic material, ion-acoustic/dust-ion-acoustic/dust-acoustic waves in a sort of plasma, or water waves. Particular instances of the system in magnetooptics, ferromagnetism, plasma mechanics and fluid dynamics are presented, such as one case in magnetooptics, describing the electromagnetic waves in a ferromagnetic thin charge-free isotropic film with the possible application in magnetooptic recording.

    Making use of symbolic computation, we figure out (1) a set of the variable-coefficientdependent bilinear forms, (2) two sets of the variable-coefficient-dependent N-soliton solutions and (3) two sets of the variable-coefficient-dependent auto-Bäcklund transformations along with some solitons, with N denoting a positive integer. Our results, under the involved constraints, rely on the variable coefficients