Complete integrability of the coupled KdV-mKdV system

2000/10/25 by Paul Kersten, P.H.M. Kersten, Kersten, Paul +3
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.DG #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0010041

arxiv created 2000/10/25 · openalex publication_date 2000/10/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The coupled KdV-mKdV system arises as the classical part of one of superextensions of the KdV equation. For this system, we prove its complete integrability, i.e., existence of a recursion operator and of infinite series of symmetries.

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