1998/05/29 by Boris G. Konopelchenko, Konopelchenko, Boris G., Luis Martinez Alonso +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9806001
45 pages, LaTeX 2.09 with epsf,amstex and amssymb styles
arxiv created 1998/05/29 · arxiv updated 2009/11/30
Integrable hierarchies associated with the singular sector of the KP hierarchy, or equivalently, with \dbar-operators of non-zero index are studied. They arise as the restriction of the standard KP hierarchy to submanifols of finite codimension in the space of independent variables. For higher \dbar-index these hierarchies represent themselves families of multidimensional equations with multidimensional constraints. The \dbar-dressing method is used to construct these hierarchies. Hidden KdV, Boussinesq and hidden Gelfand-Dikii hierarchies are considered too.