## Abstract

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.

Original language | English |
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Pages (from-to) | 3701-3704 |

Number of pages | 4 |

Journal | Physical Review E |

Volume | 55 |

Issue number | 3 |

DOIs | |

State | Published - 1997 |

Externally published | Yes |