Advanced Studies in Pure Mathematics

Complete Integrability of the Coupled KdV-mKdV System

Paul Kersten and Joseph Krasil'shchik

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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.

Article information

Source
Lie Groups, Geometric Structures and Differential Equations — One Hundred Years after Sophus Lie, T. Morimoto, H. Sato and K. Yamaguchi, eds. (Tokyo: Mathematical Society of Japan, 2002), 151-171

Dates
Received: 19 October 2000
First available in Project Euclid: 1 January 2019

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1546368692

Digital Object Identifier
doi:10.2969/aspm/03710151

Mathematical Reviews number (MathSciNet)
MR1980900

Zentralblatt MATH identifier
1184.37054

Citation

Kersten, Paul; Krasil'shchik, Joseph. Complete Integrability of the Coupled KdV-mKdV System. Lie Groups, Geometric Structures and Differential Equations — One Hundred Years after Sophus Lie, 151--171, Mathematical Society of Japan, Tokyo, Japan, 2002. doi:10.2969/aspm/03710151. https://projecteuclid.org/euclid.aspm/1546368692


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