The focus of this paper is on the dynamics of degenerate and non-degenerate vector
solitons and their collision scenarios in the two-component long-wave–short-wave (2-LS) …

A systematic approach for constructing exact periodic-background solutions of integrable
nonlinear evolution equations associated with 3× 3 spectral problems is developed by …

An integrable two component long-wave–short-wave (2-LS) model of Newell type governing
the resonant interaction between two capillary waves with a common gravity wave is …

We consider some nonlinear models describing interactions of long and short (LS) waves.
Such LS models have been derived and proposed with various motivations, which mainly …

The three wave resonant interaction model (3WRI) is a non-dispersive system with quadratic
coupling between the components that finds application in many areas, including nonlinear …

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) …

Models describing long wave–short wave resonant interactions have many physical
applications, from fluid dynamics to plasma physics. We consider here the Yajima–Oikawa …

This paper delves into an investigation of the Kuralay model, with a particular emphasis on
the Kuralay-II system. The primary objective of this research is to analyze the integrable …

Hamiltonian methods and algebraic structures for integrable systems, which took place at
the Tsinghua Sanya International Forum (TSIMF) in Sanya, China between 8 and 12 April …

In this paper, a generalized long-wave short-wave resonance interaction system, which
describes the nonlinear interaction between a short-wave and a long-wave in fluid …