Paraconformal Structures and Integrable Systems

James D. E. Grant

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Paraconformal Structures and Integrable Systems

James D. E. Grant

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Abstract

We consider some natural connections which arise between right-flat (p, q) paraconformal structures and integrable systems. We find that such systems may be formulated in Lax form, with a "Lax p-tuple" of linear differential operators, depending a spectral parameter which lives in (q-1)-dimensional complex projective space. Generally, the differential operators contain partial derivatives with respect to the spectral parameter.

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James D. E. Grant. 1999-06-15. Paraconformal Structures and Integrable Systems. https://arxiv.org/abs/solv-int/9906008

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