Paraconformal Structures and Integrable Systems
Abstract
Description
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.
14 pages, Latex 2e, submitted to Nonlinearity
14 pages, Latex 2e, submitted to Nonlinearity