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 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.

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