Journal
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Volume 21, Issue 4, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s12346-022-00660-4
Keywords
Ferromagnetic materials and magnetooptics; Fluids and plasmas; Extended (3+1)-dimensional variable-coefficient; Bilinear forms with N-solitons; Backlund transformations and symbolic computation
Categories
Funding
- National Natural Science Foundation of China [11871116, 11772017]
- Fundamental Research Funds for the Central Universities of China [2019XD-A11]
- National Scholarship for Doctoral Students of China
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This paper symbolically computes an extended (3+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system for various waves, and presents specific instances and solutions in different fields such as magnetooptics, ferromagnetism, plasma mechanics and fluid dynamics.
In this paper, we symbolically compute an extended (3+1)-dimensional variable-coefficient 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-coefficient-dependent bilinear forms, (2) two sets of the variable-coefficient-dependent N-soliton solutions and (3) two sets of the variable-coefficient-dependent auto-Backlund transformations along with some solitons, with N denoting a positive integer. Our results, under the involved constraints, rely on the variable coefficients.
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