  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.
