On stabilization at a soliton for generalized Korteweg–De Vries pure power equation for any power p ∈ (1, 5)
Abstract
We apply our idea, which previously we used in the analysis of the pure power NLS, consisting in spitting the virial inequality method into a large energy inequality combined with Kato smoothing, to the case of generalized Korteweg--De Vries pure power equations. We assume that a solution remains for all positive times very close to a soliton and then we prove an asymptotic stability result for $t\to +\infty$.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Nonlinear Waves and Solitons
Numerical methods for differential equations
Publication details
- Journal / source
- Nonlinear Analysis
- Publisher
- Elsevier BV
- Volume
- 274
- Pages
- 114253–114253
- Publication date
- 12 August 2026
- Language
- EN