Classification of multidimensional Darboux transformations: first order and continued type

DOI10.3842/SIGMA.2017.010zbMath1359.16021arXiv1605.04362OpenAlexW2543726406MaRDI QIDQ517703

David Hobby, Ekaterina Shemyakova

Publication date: 27 March 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04362

zbMATH Keywords

Darboux transformationslinear partial differential operatorscontinued Darboux transformationsLaplace transformations

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Rings of differential operators (associative algebraic aspects) (16S32) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

Twisted Laplace maps ⋮ Multi-component semi-discrete coupled dispersionless integrable system, its Lax pair and Darboux transformation ⋮ Laplace maps and constraints for a class of third-order partial differential operators ⋮ Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator ⋮ Factorization of Darboux-Laplace transformations for discrete hyperbolic operators ⋮ Laplace invariants of differential operators ⋮ Classification of Darboux transformations for operators of the form \(\partial_x\partial_y+a\partial_x+b\partial_y+c\) ⋮ New solutions for the (3 + 1)-dimensional Charney-Obukhov equation ⋮ Darboux transformations and Fay identities for the extended bigraded Toda hierarchy

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