Secant-hyperbolic instability in a reaction-diffusion system

Sen, Shrabani ; Ray, Deb Shankar (2009) Secant-hyperbolic instability in a reaction-diffusion system Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 79 (5). 057101_1- 057101-4. ISSN 1539-3755

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We have shown that the nonlinearity of the chemical reaction may induce instability on a homogenous stable steady state of a one-component reaction-diffusion system characterized by a cubic polynomial source term. This results in a growth of an asymptotically approaching inhomogeneous spatial profile of secant-hyperbolic form reminiscent of a solitary wave.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:59131
Deposited On:03 Sep 2011 12:04
Last Modified:03 Sep 2011 12:04

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