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Darboux integrals for Schrödinger planar vector fields via Darboux transformations

open access: yes, 2011
In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the “invariance” of the elements of the “Darboux Theory of Integrability”. In particular, we also show how the shape invariance property of the potential is important in order to preserve the
Acosta Humánez, Primitivo Belén   +1 more
openaire   +1 more source

ON DARBOUX INTEGRABILITY

open access: yesSymmetry and Perturbation Theory, 2007
Anderson, Ian M.   +2 more
openaire   +1 more source

The Ross-Darboux-Stieltjes Integral

open access: yes
Motivated by the limitations of the traditional definitions of the Riemann-Stieltjes and Darboux-Stieltjes integrals, we introduce a generalized Darboux-Stieltjes integral that is equivalent to an earlier generalization by Ross \cite{Ross}. Our definition builds upon an approach to the Darboux-Stieltjes integral recently introduced by the first author ...
Cruz-Uribe, David, Glidewell, Jacob
openaire   +2 more sources

From Quantum Curves to Topological String Partition Functions. [PDF]

open access: yesCommun Math Phys, 2023
Coman I, Pomoni E, Teschner J.
europepmc   +1 more source

Smooth and Discrete Cone-Nets. [PDF]

open access: yesResults Math, 2023
Kilian M, Müller C, Tervooren J.
europepmc   +1 more source

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