×

Periodic and solitary wave solutions of the long wave-short wave Yajima-Oikawa-Newell model. arXiv:2207.02499

Preprint, arXiv:2207.02499 [nlin.SI] (2022).
Summary: 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 has been 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.

MSC:

35C08 Soliton solutions
35B10 Periodic solutions to PDEs
37K06 General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
arXiv data are taken from the arXiv OAI-PMH API. If you found a mistake, please report it directly to arXiv.