Oceanic studies via a variable-coefficient nonlinear dispersive-wave system in the Solar System
Xin-Yi Gao,
Yong-Jiang Guo and
Wen-Rui Shan
Chaos, Solitons & Fractals, 2021, vol. 142, issue C
Abstract:
People pay attention to the oceans crossing the Solar System: the Earth, Enceladus and Titan. Hereby, on a variable-coefficient nonlinear dispersive-wave system for the shallow oceanic environment, (A) nonlinear-water-wave symbolic computation and Bell polynomials lead to two hetero-Bäcklund transformations and (B) nonlinear-water-wave symbolic computation gives rise to a similarity reduction, both depending on the variable coefficients representing the wave elevation and surface velocity of the water wave. This paper might be of some use for the future oceanic studies on the Solar System.
Keywords: Oceans; Solar system; Variable-coefficient nonlinear dispersive-wave system; Bell polynomials; Hetero-Bäcklund transformations; Similarity reduction; Symbolic computation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920307621
DOI: 10.1016/j.chaos.2020.110367
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