Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

Exact Solutions and Nonlinear Instability of Reaction-Diffusion Coupled Equations with Delay

Published: 01.10.2013

Authors: Polyanin A.D.

Published in issue: #4(16)/2013

DOI: 10.18698/2308-6033-2013-4-662

Category: Basic science | Chapter: Mathematics

A wide class of nonlinear reaction-diffusion systems of equations with delay is considered. We present multiparameter exact solutions involving an arbitrary number of free parameters and give an exact solution that represents a nonlinear superposition of a traveling wave with a periodic standing wave. We determine the domain of values of the parameters where any solution of the system is unstable.