Orbits of Darboux Groupoid for Hyperbolic Operators of Order Three

DOI10.1007/978-3-319-18212-4_23zbMath1366.70022arXiv1411.6491OpenAlexW1570794180MaRDI QIDQ3460611

Ekaterina Shemyakova

Publication date: 8 January 2016

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6491

zbMATH Keywords

Darboux transformationsdifferential invariantsLaplace transformationsDarboux groupoidDarboux transformations of type Iinvertible Darboux transformations

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (4)

Laplace maps and constraints for a class of third-order partial differential operators ⋮ Classification of multidimensional Darboux transformations: first order and continued type ⋮ Factorization of Darboux-Laplace transformations for discrete hyperbolic operators ⋮ Classification of Darboux transformations for operators of the form \(\partial_x\partial_y+a\partial_x+b\partial_y+c\)

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