Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations

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 objects of the ''Darboux theory of integrability''. In particular, we a...

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Bibliographic Details
Published in:	Symmetry, integrability and geometry, methods and applications Vol. 8; p. 043
Main Author:	Acosta-Humánez, Primitivo B.
Format:	Journal Article Publication
Language:	English
Published:	Kiev National Academy of Sciences of Ukraine 01.01.2012 National Academy of Science of Ukraine
Subjects:	12 Field theory and polynomials 12H Differential and difference algebra 34 Ordinary differential equations 34A General theory 34C Qualitative theory 81 Quantum theory 81Q General mathematical topics and methods in quantum theory Classificació AMS Darboux theory of integrability Darboux transformations Differential equations Differential Galois theory Equacions diferencials Equacions diferencials i integrals Equacions diferencials ordinàries Matemàtiques i estadística Polinomis Polynomials Schrödinger equation Supersymmetric quantum mechanics Teoria de cossos i polinomis Àlgebra Àrees temàtiques de la UPC
ISSN:	1815-0659, 1815-0659
Online Access:	Get full text
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