The coupled modified Yajima–Oikawa system: Model derivation and soliton solutions

Authors

Junchao Chen
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow
Ken-ichi Maruno, Waseda University

Document Type

Article

Publication Date

6-2023

Abstract

In this paper, we consider a coupled modified Yajima–Oikawa (YO) system which describes the nonlinear resonant interaction between one long wave (LW) and two short waves (SWs). It is shown that this coupled system can be derived from a three-component modified nonlinear Schrödinger equations through asymptotic reductions. Furthermore, the bright, dark multi-soliton and multi-breather solutions in terms of determinants are obtained respectively by virtue of the bilinear Kadomtsev–Petviashvili-hierarchy reduction technique. The detailed analysis of dynamical properties for one- and two-solitons and breathers is performed, which show the interesting collision properties for the bright and dark solitons. Particularly, differing from the modified YO system with the single SW component, two bright solitons can undergo inelastic collisions and two dark solitons can generate the bound state in the coupled modified YO system. Finally, general bright, dark multi-soliton and multi-breather solutions are presented for the multi-component modified YO system with multi short waves.

Comments

Original published version available at https://doi.org/10.1016/j.physd.2023.133695

Recommended Citation

Chen, Junchao, Bao-Feng Feng, and Ken-ichi Maruno. "The coupled modified Yajima–Oikawa system: model derivation and soliton solutions." Physica D: Nonlinear Phenomena 448 (2023): 133695. https://doi.org/10.1016/j.physd.2023.133695

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Physica D: Nonlinear Phenomena

DOI

10.1016/j.physd.2023.133695