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Article Dans Une Revue Nonlinearity Année : 2014

The KdV equation under periodic boundary conditions and its perturbations

Résumé

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.

Dates et versions

hal-01076598 , version 1 (22-10-2014)

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Guan Huang, Sergei Kuksin. The KdV equation under periodic boundary conditions and its perturbations. Nonlinearity, 2014, 27 (9), pp.61-88. ⟨10.1088/0951-7715/27/9/R61⟩. ⟨hal-01076598⟩
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