Answers are grounded in this paper and cite their sources.
We consider the generalized Korteweg–de Vries (gKdV) equations in the subcritical cases p = 2, 3 or 4. The first objective of this paper is to present a direct, simplified proof of the asymptotic stability of solitons in the energy space H1, which was proved by the same authors in Martel and Merle (2001 Arch. Ration. Mech. Anal. 157 219–54).
No takes yet. Share an insight, caveat, or question.
Martel et al. (2004) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: