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INTEGRABLE SYSTEMS IN SYMPLECTIC GEOMETRY
Published online by Cambridge University Press: 01 February 2009
Abstract
Quaternionic vector mKDV equations are derived from the Cartan structure equation in the symmetric space = Sp(n+1)/Sp(1) × Sp(n). The derivation of the soliton hierarchy utilizes a moving parallel frame and a Cartan connection 1-form ω related to the Cartan geometry on modelled on . The integrability structure is shown to be geometrically encoded by a Poisson–Nijenhuis structure and a symplectic operator.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2009
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