Abstract
In this paper we discuss properties of the Korteweg-de Vries (KdV) equation under periodic boundary conditions, especially those which are important for studying perturbations of the equation. We then review what is known about the long-time behaviour of solutions for perturbed KdV equations.
| Original language | English |
|---|---|
| Pages (from-to) | R61-R88 |
| Journal | Nonlinearity |
| Volume | 27 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 1 Sept 2014 |
| Externally published | Yes |
Keywords
- KAM
- KdV
- averaging
- perturbed KdV
- random perturbation
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