Counterexample to a conjecture of Goriely for the speed of fronts of the reaction-diffusion equation

J. Cisternas, M. C. Depassier

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)

Resumen

In a recent paper, Goriely [A. Goriely, Phys. Rev. Lett. 75, 2047 (1995)] considers the one-dimensional scalar reaction-diffusion equation [formula presented]=[formula presented]+f(u), with a polynomial reaction term f(u), and conjectures the existence of a relation between a global resonance of the Hamiltonian system [formula presented]+f(u)=0 and the asymptotic speed of propagation of fronts of the reaction-diffusion equation. Based on this conjecture an explicit expression for the speed of the front is given. We give a counterexample to this conjecture and present evidence indicative that it holds only for a particular class of exactly solvable problems.
Idioma originalInglés
Páginas (desde-hasta)3701-3704
Número de páginas4
PublicaciónPhysical Review E
Volumen55
N.º3
DOI
EstadoPublicada - 1997

Nota bibliográfica

Publisher Copyright: © 1997 The American Physical Society.

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