On the constrained KP hierarchy II
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A constrained KP hierarchy is discussed that was recently suggested by Aratynet al. and by Bonoraet al. This hierarchy is a restriction of the KP to a submanifold of operators which can be represented as a ratio of two purely differential operators of prescribed orders. Explicit formulas for action of vector fields on these two differential operators are written which gives a new description of the hierarchy and provides a new, more constructive proof of compatibility of the constraint with the hierarchy. Also, the Poisson structure of the constrained hierarchy is discussed.
Mathematics Subject Classifications (1991)35Q58 58F07
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