Factorization of the 'classical Boussinesq' system

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, , Citation R Conte et al 1994 J. Phys. A: Math. Gen. 27 2831 DOI 10.1088/0305-4470/27/8/020

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1 Service de Phys. de l'etat Condense, Centre d'etudes de Saclay, Gif-sur-Yvette, France

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0305-4470/27/8/2831

Abstract

The scalar equation equivalent to the 'classical Boussinesq', or Broer-Kaup system, is shown to factorize into a differential operator acting on Burgers equation. The linearizability of this latter equation provides a very simple explanation for the recently found property of fusion and fission of a class of solitons for this system.

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