Controlling soliton explosions

Details Controlling soliton explosions Controlling soliton explosions

2005-02-16

arxiv.org/abs/nlin/0502033v1

Nonlinear Sciences

Pattern Formation and Solitons

3 .eps figures. Accepted in Physics Letters A

Scientific paper

We investigate the dynamics of solitons in generalized Klein-Gordon equations in the presence of nonlinear damping and spatiotemporal perturbations. We will present different mechanisms for soliton explosions. We show (both analytically and numerically) that some space-dependent perturbations or nonlinear damping can make the soliton internal mode unstable leading to soliton explosion. We will show that, in some cases, while some conditions are satisfied, the soliton explodes becoming a permanent, extremely complex, spatiotemporal dynamics. We believe these mechanisms can explain some of the phenomena that recently have been reported to occur in excitable media. We present a method for controlling soliton explosions.

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