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Oceanic shallow-water description with (2 + 1)-dimensional generalized variable-coefficient Hirota–Satsuma–Ito equation: Painlevé analysis, soliton solutions, and lump solutions.
- Source :
-
Physics of Fluids . Jun2024, Vol. 36 Issue 6, p1-9. 9p. - Publication Year :
- 2024
-
Abstract
- Variable-coefficient equations can be used to describe certain phenomena when inhomogeneous media and nonuniform boundaries are taken into consideration. Describing the fluid dynamics of shallow-water wave in an open ocean, a (2 + 1)-dimensional generalized variable-coefficient Hirota–Satsuma–Ito equation is investigated in this paper. The integrability is first examined by the Painlevé analysis method. Secondly, the one-soliton and two-soliton solutions and lump solutions of the (2 + 1)-dimensional generalized variable-coefficient Hirota–Satsuma–Ito equations are derived by virtue of the Hirota bilinear method. In the exact solutions, parameter values and variable-coefficient functions are chosen and analyzed for different effects on the shallow-water waves. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10706631
- Volume :
- 36
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Physics of Fluids
- Publication Type :
- Academic Journal
- Accession number :
- 178147558
- Full Text :
- https://doi.org/10.1063/5.0193477