Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system

Authors

Marcos Caso-Huerta
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow
Sara Lombardo
Ken-ichi Maruno

Document Type

Article

Publication Date

4-2025

Abstract

In this paper, we consider the recently-introduced Yajima–Oikawa–Newell (YON) system describing the nonlinear resonant interaction between a long wave and a short wave. It extends and generalises the Yajima–Oikawa (YO) and the Newell (N) systems, which can be obtained from the YON system for special choices of the two non-rescalable, arbitrary parameters that it features. Remarkably, for any choice of these latter constants, the YON system is integrable, in the sense of possessing a Lax pair. New families of solutions, including the bright and dark multi-solitons, as well as the breathers and the higher-order rogue waves are systematically derived by means of the -function reduction technique for the two-component KP and the KP-Toda hierarchies. In particular, we show that the condition that the wave parameters have to satisfy for the rogue wave solution to exist coincides with the prediction based on the stability spectra for base-band instability of the plane wave solutions. Several examples from each family of solutions are given in closed form, along with a discussion of their main properties and behaviours.

Comments

© 2025 The Authors. Published by Elsevier B.V. http://creativecommons.org/licenses/by/4.0/

Recommended Citation

Caso-Huerta, Marcos, Bao-Feng Feng, Sara Lombardo, Ken-ichi Maruno, and Matteo Sommacal. "Solitons, breathers and rogue waves of the Yajima-Oikawa-Newell long wave–short wave system." Wave Motion (2025): 103511. https://doi.org/10.1016/j.wavemoti.2025.103511

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Wave Motion

DOI

10.1016/j.wavemoti.2025.103511