Mathematics – Analysis of PDEs
Scientific paper
2009-10-16
Mathematics
Analysis of PDEs
Minor corrections in computations
Scientific paper
This paper presents a complete description of the interaction of two solitons with nearly equal speeds for the quartic (gKdV) equation. By constructing an approximate solution of the problem, we prove that at the main order, the two solitons are preserved by the interaction and that for all time they are separated by a large distance, as in the case of the integrable KdV equation in this regime. However, unlike in the integrable case, we prove that the collision is not perfectly elastic.
Martel Yvan
Merle Frank
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