English

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

Pattern Formation and Solitons 2009-11-13 v1 Exactly Solvable and Integrable Systems

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)S^{(1)} and S(2)S^{(2)} while the long wave L admits line soliton only. The exponentially localized solutions driving the short waves S(1)S^{(1)} and S(2)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.

Keywords

Cite

@article{arxiv.0904.2434,
  title  = {Collision of Multimode Dromions and a Firewall in the Two Component Long Wave Short Wave Resonance Interaction Equation},
  author = {R. Radha and C. Senthil Kumar and M. Lakshmanan and C. R. Gilson},
  journal= {arXiv preprint arXiv:0904.2434},
  year   = {2009}
}

Comments

published in J. Phys. A: Math. Theor. 42, 102002