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arXiv · 1512.01034

Dynamics of solitons in multicomponent long wave-short wave resonance interaction system

T Kanna·K Sakkaravarthi·M Vijayajayanthi·M Lakshmanan
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Abstract

In this paper, we study the formation of solitons, their propagation and collision behaviour in an integrable multicomponent (2+1)-dimensional long wave-short wave resonance interaction ($M$-LSRI) system. First, we briefly revisit our earlier results on the dynamics of bright solitons and demonstrate the fascinating energy exchange collision of bright solitons appearing in the short-wave components of the $M$-LSRI system. Then, we explicitly construct the exact one- and two- multicomponent dark soliton solutions of the $M$-LSRI system by using the Hirota's direct method and explore its propagation dynamics. Also, we study the features of dark soliton collisions.

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T Kanna, K Sakkaravarthi, M Vijayajayanthi, M Lakshmanan. 2015-12-03. Dynamics of solitons in multicomponent long wave-short wave resonance interaction system. https://doi.org/10.1007/s12043-014-0921-4

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