Envelope quasi-solitons in dissipative systems with cross-diffusion

Abstract

We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasi-soliton" pulses, which have fixed stable structure but can reflect from boundaries and penetrate each other. Presently we demonstrate a different type of quasi-solitons, with a phenomenology resembling that of the envelope solitons in Nonlinear Schroedinger equation: spatiotemporal oscillations with a smooth envelope, with the velocity of the oscillations different from the velocity of the envelope.

4 pages, 4 figures, as accepted to Phys Rev Letters on 2011/08/25

References in corpus (1)

• Burridge-Knopoff Models as Elastic Excitable Media

Cited by in corpus (3)

• Classification of wave regimes in excitable systems with linear cross-diffusion
• Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity does not violate the Second Law
• A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves