Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation

Abstract

This note proves the orbital stability in the energy space $H^{1/2}$ of the sum of widely-spaced 1-solitons for the Benjamin-Ono equation, with speeds arranged so as to avoid collisions.

References in corpus (1)

• Global well-posedness of the Benjamin-Ono equation in H^1(R)

Cited by in corpus (2)

• Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations
• Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study