Differential transformations of parabolic second-order operators in the plane

DOI10.1134/S0081543809030134zbMath1188.35008arXiv0811.1492OpenAlexW2024679309MaRDI QIDQ1048457

J. Blot

Publication date: 12 January 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1492

zbMATH Keywords

Boussinesq equationdifferential substitutionsseries of consecutive transformations

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Second-order parabolic equations (35K10)

Related Items (10)

Differential operators on the superline, Berezinians, and Darboux transformations ⋮ Ideals of differential operators and transformations of linear partial differential equations ⋮ Intertwining Laplace Transformations of Linear Partial Differential Equations ⋮ Classification of multidimensional Darboux transformations: first order and continued type ⋮ Laplace transformations as the only degenerate Darboux transformations of first order ⋮ Refinement of two-factor factorizations of a linear partial differential operator of arbitrary order and dimension ⋮ Classification of Darboux transformations for operators of the form \(\partial_x\partial_y+a\partial_x+b\partial_y+c\) ⋮ Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators ⋮ Multiple Factorizations of Bivariate Linear Partial Differential Operators ⋮ \(X\)- and \(Y\)-invariants of partial differential operators in the plane

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