Kink-soliton explosions

Alberto J. Bellorín, Jorge A. González, Luis E. Guerrero


The dynamics of kink-solitons in generalized Klein-Gordon equations for excitable media and spatial perturbations are investigated. A mechanism for kink-soliton explosion is presented, along with the analytically obtained conditions for the phenomena to happen. Computer simulations are used to visualize and corroborate the analytical findings. These findings can explain some of the phenomena that recently have been reported to occur in excitable media.

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