The collision of multimode dromions and a firewall in the two-component long-wave-short-wave resonance interaction equation

Abstract

In this communication, we investigate the two-component long-wave-short-wave resonance interaction 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 a 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 from intramodal inelastic collision while the existence of a firewall across the modes prevents the switching of energy between the modes.