Envelope quasi-solitons in dissipative systems with cross-diffusion

V. N. Biktashev, M. A. Tsyganov

Submitted to PRL: 2011/05/15. In revised form: 2011/07/27. Accepted: 2011/08/25. Published 2011/09/23 as PRL 107(13):134101

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.