On Some Integrable Generalisations of the Continuous Toda System

Mikhail V. Saveliev

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arXiv · hep-th/9504131

On Some Integrable Generalisations of the Continuous Toda System

Mikhail V. Saveliev

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Abstract

In the present paper we obtain some integrable generalisations of the continuous Toda system generated by a flat connection form taking values in higher grading subspaces of the algebra of the area--preserving diffeomorphism of the torus $T^2$, and construct their general solutions. The grading condition which we use here, imposed on the connection, can be realised in terms of some holomorphic distributions on the corresponding homogeneous spaces.

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Mikhail V. Saveliev. 1995-04-25. On Some Integrable Generalisations of the Continuous Toda System. https://arxiv.org/abs/hep-th/9504131

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