2005-11-03Buch DOI: 10.18452/2610
Solvability of the 2 dimensional KP systems
In this paper we define a series of modified Parshin's KP-hierarchies for the case of the ring of pseudodifferential operators in 2 variables, which are parametrized by a real positive parameter. All these systems satisfy the same properties as the original system (the conversations laws, Zhaharov-Shabat equations and so on). We prove their unique solvability for some initial values. Also we prove that for all values except one the systems have nontrivial solutions.
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