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arxiv: nlin/0010041 · v1 · submitted 2000-10-25 · 🌊 nlin.SI · hep-th· math-ph· math.DG· math.MP

Complete integrability of the coupled KdV-mKdV system

classification 🌊 nlin.SI hep-thmath-phmath.DGmath.MP
keywords systemcompletecoupledintegrabilitykdv-mkdvarisesclassicalequation
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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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