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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Official URL: http://pre.aps.org/abstract/PRE/v79/i5/e057101
Related URL: http://dx.doi.org/10.1103/PhysRevE.79.057101
Abstract
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 |
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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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