Invariants for Darboux Transformations of Arbitrary Order for $$\mathcal{D}_x\mathcal{D}_y+a\mathcal{D}_x+b\mathcal{D}_y+c$$

DOI10.1007/978-3-0348-0645-9_13zbMath1305.70038arXiv1210.2938OpenAlexW151802709MaRDI QIDQ5498854

Ekaterina Shemyakova

Publication date: 11 February 2015

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2938

zbMATH Keywords

gauge transformationsbivariate linear partial differential operator of arbitrary orderJoint differential invariants

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)

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Cites Work

• Moving coframes. II: Regularization and theoretical foundations
• Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations
• Proof of the Completeness of Darboux Wronskian Formulae for Order Two
• Moving frames for laplace invariants
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