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Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model
by
Lombardo, Sara
, Degasperis, Antonio
, Leal da Silva, Priscila
, Sommacal, Matteo
, Caso-Huerta, Marcos
in
Conservation laws
/ Coupling
/ Fluid dynamics
/ Gravity
/ Hydrodynamics
/ integrable systems
/ long wave–short wave resonant interaction
/ nonlinear waves
/ Partial differential equations
/ particular solutions
/ Plasma physics
/ Propagation
/ Resonant interactions
/ Solitary waves
/ Water waves
2022
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Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model
by
Lombardo, Sara
, Degasperis, Antonio
, Leal da Silva, Priscila
, Sommacal, Matteo
, Caso-Huerta, Marcos
in
Conservation laws
/ Coupling
/ Fluid dynamics
/ Gravity
/ Hydrodynamics
/ integrable systems
/ long wave–short wave resonant interaction
/ nonlinear waves
/ Partial differential equations
/ particular solutions
/ Plasma physics
/ Propagation
/ Resonant interactions
/ Solitary waves
/ Water waves
2022
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Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model
by
Lombardo, Sara
, Degasperis, Antonio
, Leal da Silva, Priscila
, Sommacal, Matteo
, Caso-Huerta, Marcos
in
Conservation laws
/ Coupling
/ Fluid dynamics
/ Gravity
/ Hydrodynamics
/ integrable systems
/ long wave–short wave resonant interaction
/ nonlinear waves
/ Partial differential equations
/ particular solutions
/ Plasma physics
/ Propagation
/ Resonant interactions
/ Solitary waves
/ Water waves
2022
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Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model
Journal Article
Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model
2022
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Overview
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.
Publisher
MDPI AG
Subject
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