Complete integrability of the coupled KdV-mKdV system

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

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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