Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model

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 interaction terms of two wave, integrable models, one proposed by Yajima-Oikawa, and other Newell. The new YON model contains arbitrary coupling constants it is still - in sense possessing a Lax pair for any values these constants. It reduces Yajima-Oikawa or Newell systems special choices parameters. construct families periodic solitary solutions, display generation very waves. also compute explicit expression number conservation laws.