On Some Integrable Generalisations of the Continuous Toda System

Details On Some Integrable Generalisations of the Continuous Toda System On Some Integrable Generalisations of the Continuous Toda System

1995-04-25

arxiv.org/abs/hep-th/9504131v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures, LaTeX file

Scientific paper

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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