Collision of Multimode Dromions and a Firewall in the Two Component Long Wave Short Wave Resonance Interaction Equation

TL;DR

This paper studies the two component long wave short wave resonance interaction equation, revealing localized multimode dromions with inelastic collisions and a firewall effect that prevents energy exchange between modes.

Contribution

It introduces a truncated Painleve approach to generate localized solutions and demonstrates the collision dynamics and energy barrier in multimode dromions.

Findings

Localized multimode dromions with different energies are obtained.

Multimode dromions undergo intramodal inelastic collisions.

A firewall prevents energy switching between modes.

Abstract

In this paper, we investigate the two component long wave short wave resonance interaction (2CLSRI) equation and show that it admits the Painleve property. We then suitably exploit the recently developed truncated Painleve approach to generate exponentially localized solutions for the short wave components $S^{(1)}$ and $S^{(2)}$ while the long wave L admits line soliton only. The exponentially localized solutions driving the short waves $S^{(1)}$ and $S^{(2)}$ in the y direction are endowed with different energies (intensities) and are called "multimode dromions". We also observe that the multimode dromions suffer intramodal inelastic collision while the existence of a firewall across the modes prevents the switching of energy between the modes.