Hierarchy of general invariants for bivariate LPDOs

Details Hierarchy of general invariants for bivariate LPDOs Hierarchy of general invariants for bivariate LPDOs

2005-10-18

arxiv.org/abs/nlin/0510039v2

TMPh (Journal of Theoretical and Mathematical Physics) 147(3), pp. 839-846 (2006)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

to appear in J. "Theor.Math.Phys." in May 2006

Scientific paper

We study invariants under gauge transformations of linear partial differential operators on two variables. Using results of BK-factorization, we construct hierarchy of general invariants for operators of an arbitrary order. Properties of general invariants are studied and some examples are presented. We also show that classical Laplace invariants correspond to some particular cases of general invariants.

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