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

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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
9 pages, including 3 figures

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80280

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0207014
 http://arxiv.org/abs/nlin/0207014

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arXiv