Differential Transformations of Parabolic Second-Order Operators in the Plane

Abstract

The theory of transformations for hyperbolic second-order equations in the plane, developed by Darboux, Laplace and Moutard, has many applications in classical differential geometry [12, 13], and beyond it in the theory of integrable systems [14, 19]. These results, which were obtained for the linear case, can be applied to nonlinear Darboux-integrable… (More)

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Cite this paper

@inproceedings{Tsarev2008DifferentialTO, title={Differential Transformations of Parabolic Second-Order Operators in the Plane}, author={Serguei P. Tsarev}, year={2008} }