Travelling Wave Solutions of a Simple Non-Local Burgers-Like Equation

Alex Veksler, Yair Zarmi

Research output: Working paper/PreprintPreprint

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Abstract

A Lax pair consisting of the Forsyth-Hopf-Cole transformation and a linear differential (in time) - difference (in continuous space) equation generates the whole hierarchy of the Burgers equation and admits exact moving front solutions. This model mimics finite-distance spatial correlations or nearest neighbor interactions in a physical situation
Original languageEnglish
StatePublished - 1 Jul 2002

Keywords

  • Exactly Solvable and Integrable Systems

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