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Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity obeys the Second Law.

Abstract：

:Solitons, defined as nonlinear waves which can reflect from boundaries or transmit through each other, are found in conservative, fully integrable systems. Similar phenomena, dubbed quasi-solitons, have been observed also in dissipative, "excitable" systems, either at finely tuned parameters (near a bifurcation) or in systems with cross-diffusion. Here we demonstrate that quasi-solitons can be robustly observed in excitable systems with excitable kinetics and with self-diffusion only. This includes quasi-solitons of fixed shape (like KdV solitons) or envelope quasi-solitons (like NLS solitons). This can happen in systems with more than two components, and can be explained by effective cross-diffusion, which emerges via adiabatic elimination of a fast but diffusing component. We describe here a reduction procedure can be used for the search of complicated wave regimes in multi-component, stiff systems by studying simplified, soft systems.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Biktashev VN,Tsyganov MA

doi

10.1038/srep30879

subject

Has Abstract

pub_date

2016-08-05 00:00:00

pages

30879

issn

2045-2322

pii

srep30879

journal_volume

6

pub_type

杂志文章

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