Darboux transformations for factorable Laplace operators

DOI10.1134/S0361768814030062zbMath1311.35004OpenAlexW1994404343MaRDI QIDQ2017784

Ekaterina Shemyakova

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1134/s0361768814030062

zbMATH Keywords

intertwining relation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items

Factorization of Darboux-Laplace transformations for discrete hyperbolic operators ⋮ Classification of Darboux transformations for operators of the form \(\partial_x\partial_y+a\partial_x+b\partial_y+c\)

Cites Work

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• Proof of the Completeness of Darboux Wronskian Formulae for Order Two
• Discrete SL_n-connections and self-adjoint difference operators on 2-dimensional manifolds
• 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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