Envelope quasisolitons in dissipative systems with cross-diffusion
Biktashev, V. N.
Tsyganov, M. A.
Physical Review Letters
American Physical Society
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.
Copyright © 2011 American Physical Society
Vol. 107 (13), article 134101
Place of publication