Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model

Caso Huerta, Marcos, Degasperis, Antonio, Leal da Silva, Priscila, Lombardo, Sara and Sommacal, Matteo (2022) Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model. Fluids, 7 (7). p. 227. ISSN 2311-5521

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Models describing long wave–short wave resonant interactions have many physical applications, from fluid dynamics to plasma physics. We consider here the Yajima–Oikawa–Newell (YON) model, which was recently introduced, combining the interaction terms of two long wave–short wave, integrable models, one proposed by Yajima–Oikawa, and the other one by Newell. The new YON model contains two arbitrary coupling constants and it is still integrable—in the sense of possessing a Lax pair—for any values of these coupling constants. It reduces to the Yajima–Oikawa or the Newell systems for special choices of these two parameters. We construct families of periodic and solitary wave solutions, which display the generation of very long waves. We also compute the explicit expression of a number of conservation laws.

Item Type: Article
Additional Information: Funding information: PLdS is supported by the Royal Society under a Newton International Fellowship (reference number 201625) hosted by SL.
Uncontrolled Keywords: long wave–short wave resonant interaction; nonlinear waves; integrable systems; particular solutions
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Elena Carlaw
Date Deposited: 05 Jul 2022 09:10
Last Modified: 27 Jul 2022 16:30

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