Higher dimensional Darboux transformations

DOI10.1016/j.jmaa.2018.04.031zbMath1394.35007OpenAlexW2797882229WikidataQ129982501 ScholiaQ129982501MaRDI QIDQ1748338

Oliver Ruff, Zijing Zhang, G. R. Hovhannisyan

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.031

zbMATH Keywords

method of characteristicsintertwining operatorsBoiti-Leon-Pempinelli equationsoliton-like nonlinear equations

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton equations (35Q51)

Related Items (2)

Laplace invariants of differential 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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• Darboux transformations for Schrödinger equations in two variables
• Factorization of linear partial differential operators and Darboux integrability of nonlinear PDEs
• Reduction restrictions of Darboux and Laplace transformations for the Goursat equation

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