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arXiv · 1105.3003

Envelope quasi-solitons in dissipative systems with cross-diffusion

V. N. Biktashev·M. A. Tsyganov
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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.

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V. N. Biktashev, M. A. Tsyganov. 2011-08-27. Envelope quasi-solitons in dissipative systems with cross-diffusion. https://doi.org/10.1103/physrevlett.107.134101

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