Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and M solitons

Xin-Yi Gao, Yong-Jiang Guo and Wen-Rui Shan

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

Abstract: Considering the water waves, people have investigated many systems. In this paper, what we study is a Whitham-Broer-Kaup-like system for the dispersive long waves in the shallow water in an ocean. With respect to the water-wave horizontal velocity and deviation height from the equilibrium of the water, we construct (A) two branches of the hetero-Bäcklund transformations, from that system to a known constant-coefficient nonlinear dispersive-wave system, (B) two branches of the bilinear forms and (C) two branches of the M-soliton solutions, with M as a positive integer. Results rely upon the oceanic shallow-water coefficients in that system.

Keywords: Ocean; Shallow water; Whitham-Broer-Kaup-like system; Hetero-Bäcklund transformations; Bilinear forms; M solitons; Symbolic computation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006944

DOI: 10.1016/j.chaos.2022.112486

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