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In this paper, we study the coupled Higgs equation and its multi-componentgeneralization based on the Hirota's direct method. One and two-solitonsolutions of the coupled Higgs equation are derived by the perturbationapproach. We express the N-soliton solutions in the form of Pfaffians anddemonstrate that the N-component coupled Higgs equation turns out to be thePfaffian identity. One and two-soliton solutions of the multi-component coupledHiggs equation are obtained from the Pfaffians. Starting from the explicitsolutions, parallel solitons, periodic and nearly periodic interactions,elastic and inelastic collisions are investigated.

Soliton dynamics to the coupled Higgs equation and its multi-component generalization