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Travelling-wave, Mixed-lump-kink and Mixed-rogue-wave-kink Solutions for an Extended (3+1)-dimensional Shallow Water Wave Equation in Oceanography and Atmospheric Science.
- Source :
-
International Journal of Theoretical Physics . Jan2024, Vol. 63 Issue 1, p1-13. 13p. - Publication Year :
- 2024
-
Abstract
- Shallow water waves are seen in oceanography, atmospheric science, and other fields. In this paper, we investigate an extended (3+1)-dimensional shallow water wave equation. We get the travelling-wave solutions via the polynomial-expansion method. Applying the Hirota method and symbolic computation, we derive some mixed-lump-kink and mixed-rogue-wave-kink solutions. Based on the mixed-lump-kink solutions, we graphically show the interaction between a lump and a kink soliton, and find two different cases: (1) the lump merges into the kink soliton; (2) the lump separates from the kink soliton. Based on the mixed-rogue-wave-kink solutions, we graphically analyze the interaction between the rogue wave and two-kink solitons, and find that the rogue wave emerges from the one kink soliton and merges into the other kink soliton. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207748
- Volume :
- 63
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Theoretical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 174965715
- Full Text :
- https://doi.org/10.1007/s10773-023-05477-8