Dynamics of solitons in multicomponent long wave–short wave resonance interaction system
T Kanna K Sakkaravarthi M Vijayajayanthi M Lakshmanan
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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 the 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.
T Kanna1 K Sakkaravarthi1 M Vijayajayanthi2 M Lakshmanan3
Volume 97, 2023
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