Nonlinear delay reaction-diffusion equations of hyperbolic type: Exact solutions and global instability

A. D. Polyanin   ; V. G. Sorokin   ; A. V. Vyazmin

Matematičeskoe modelirovanie i čislennye metody, no. 4 (2014), pp. 53-73

Résumé

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.

Détail

Mots-clés : Reaction-diffusion equations, exact solutions
Keywords: nonlinear delay differential equations, generalized separation of variables, nonlinear instability, global instability.

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