Invertible Darboux transformations of type I

DOI10.1134/S0361768815020085zbMath1406.44003MaRDI QIDQ2629401

E. S. Shemyakova

Publication date: 6 July 2016

Published in: Programming and Computer Software (Search for Journal in Brave)

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables ⋮ Twisted Laplace maps ⋮ Laplace maps and constraints for a class of third-order partial differential operators

Uses Software

• LPDO

Cites Work

• Unnamed Item
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• A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form
• Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
• Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators
• Proof of the Completeness of Darboux Wronskian Formulae for Order Two
• Moving frames for laplace invariants
• Invariants for Darboux Transformations of Arbitrary Order for $$\mathcal{D}_x\mathcal{D}_y+a\mathcal{D}_x+b\mathcal{D}_y+c$$

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