The Gibbons–Tsarev equation: symmetries, invariant solutions, and applications

نویسندگان

چکیده

AbstractIn this paper we present the full classification of symmetry-invariant solutions for Gibbons–Tsarev equation. Then use these to construct explicit expressions two-component reductions Benney’s moments equations, get Pavlov’s equation, and find integrable Ferapontov–Huard–Zhang system, which describes implicit two-phase dKP

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ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2021

ISSN: ['1776-0852', '1402-9251']

DOI: https://doi.org/10.1080/14029251.2016.1175821