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Bi-Hamiltonian structure and conserved quantities of the Yajima-Oikawa-Newell system
Marcos Caso-Huerta
We study the Hamiltonian and bi-Hamiltonian structure of the Yajima-Oikawa-Newell (YON) system, an integrable model of long wave-short wave interaction depending on two real parame…
Periodic and solitary wave solutions of the long wave-short wave Yajima-Oikawa-Newell model
Marcos Caso-Huerta, Antonio Degasperis, Priscila Leal da Silva +2
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)…
A new integrable model of long wave-short wave interaction and linear stability spectra
Marcos Caso-Huerta, Antonio Degasperis, Sara Lombardo +1
We consider the propagation of short waves which generate waves of much longer (infinite) wave-length. Model equations of such long wave-short wave resonant interaction, including…