Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2009-04-16
Nonlinear Sciences
Pattern Formation and Solitons
published in J. Phys. A: Math. Theor. 42, 102002
Scientific paper
10.1088/1751-8113/42/10/102002
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.
Gilson Claire R.
Kumar Chaitanya S.
Lakshmanan Meenakshi
Radha R.
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