scientific article; zbMATH DE number 5044685

zbMath1101.35003arXivmath-ph/0403054MaRDI QIDQ5481326

Anatoliy K. Prykarpatsky, Yarema A. Prykarpatsky, A. M. Samoilenko

Publication date: 9 August 2006

Full work available at URL: https://arxiv.org/abs/math-ph/0403054

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zbMATH Keywords

Darboux transformationsinverse spectral transform

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Linear higher-order PDEs (35G05)

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Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization ⋮ The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension ⋮ Theory of multidimensional Delsarte-Lions transmutation operators. II ⋮ Theory of multidimensional Delsarte-Lions transmutation operators. I ⋮ On the Bäcklund transformations of the Riccati equation: the differential-geometric approach revisited

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