517.9+532+536 Nonlinear delay reaction-diffusion equations of hyperbolic type: Exact solutions and global instability
Polyanin A. D. (Ishlinsky Institute for Problems in Mechanics), Sorokin V. G. (Ishlinsky Institute for Problems in Mechanics), Vyazmin A. V. (Moscow State University of Mechanical Engineering)
REACTION-DIFFUSION EQUATIONS, NONLINEAR DELAY DIFFERENTIAL EQUATIONS, EXACT SOLUTIONS, GENERALIZED SEPARATION OF VARIABLES, NONLINEAR INSTABILITY, GLOBAL INSTABILITY.
doi: 10.18698/2309-3684-2014-4-5373
In the article we explored nonlinear hyperbolic delay reaction-diffusion equations with varying transfer coefficients. A number of generalized separable solutions were obtained. Most of the equations considered contain arbitrary functions. Global nonlinear instability conditions of solutions of hyperbolic delay reaction-diffusion systems were determined. The generalized Stokes problem for a linear delay diffusion equation with periodic boundary conditions was solved.
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Polyanin A., Sorokin V., Vyazmin A. Nonlinear delay reaction-diffusion equations of hyperbolic type: Exact solutions and global instability. Маthematical Modeling and Coтputational Methods, 2014, №4 (4), pp. 53-73
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