Mathematics – Analysis of PDEs
Scientific paper
2008-03-27
Mathematics
Analysis of PDEs
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).
Martel Yvan
Merle Frank
Mizumachi Tetsu
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