Description of the inelastic collision of two solitary waves for the BBM equation

Mathematics – Analysis of PDEs

Scientific paper

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submitted for publication. Corrected typo in Theorem 1.1

Scientific paper

We prove that the collision of two solitary waves of the BBM equation is
inelastic but almost elastic in the case where one solitary wave is small in
the energy space. We show precise estimates of the nonzero residue due to the
collision. Moreover, we give a precise description of the collision phenomenon
(change of size of the solitary waves).

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