Envelope Quasisolitons in Dissipative Systems with Cross-Diffusion

V. N. Biktashev and M. A. Tsyganov
Phys. Rev. Lett. 107, 134101 – Published 21 September 2011
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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 “quasisoliton” pulses, which have a fixed stable structure but can reflect from boundaries and penetrate each other. Herein we demonstrate a different type of quasisolitons, with a phenomenology resembling that of the envelope solitons in the nonlinear Schrödinger equation: spatiotemporal oscillations with a smooth envelope, with the velocity of the oscillations different from the velocity of the envelope.

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  • Received 15 May 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.134101

© 2011 American Physical Society

Authors & Affiliations

V. N. Biktashev

  • Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom

M. A. Tsyganov

  • Institute of Theoretical and Experimental Biophysics, Pushchino, Moscow Region, 142290, Russia

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Issue

Vol. 107, Iss. 13 — 23 September 2011

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