A new integrable model of long wave-short wave interaction and linear stability spectra
Marcos Caso-Huerta,
Antonio Degasperis,
Sara Lombardo
et al.
Abstract: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 integrable ones, are well-known and have received much attention because of their appearance in various physical contexts, particularly fluid dynamics and plasma physics. Here we introduce a new long wave-short wave integrable model which generalises those first proposed by Yajima-Oikawa and by Newell. By means of its associated Lax … Show more
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