Geodesic
Nonlinear delay reaction-diffusion equations of hyperbolic type: Exact solutions and global instability
Matematičeskoe modelirovanie i čislennye metody (2014), pp. 53-73

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : Reaction-diffusion equations, exact solutions
Keywords: nonlinear delay differential equations, generalized separation of variables, nonlinear instability, global instability. 
@article{MMCM_2014_a3,
     author = {A. D. Polyanin and V. G. Sorokin and A. V. Vyazmin},
     title = {Nonlinear delay reaction-diffusion equations of hyperbolic type: {Exact} solutions and global instability},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {53--73},
     publisher = {mathdoc},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2014_a3/}
}
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%D 2014
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A. D. Polyanin; V. G. Sorokin; A. V. Vyazmin. Nonlinear delay reaction-diffusion equations of hyperbolic type: Exact solutions and global instability. Matematičeskoe modelirovanie i čislennye metody (2014), pp. 53-73. http://geodesic.mathdoc.fr/item/MMCM_2014_a3/