On the nonintegrability of magnetic field lines
Mahdi, Adam (University of North Carolina at Charlotte. Mathematics Department)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2013
Abstract:	We show that a magnetic field created by a simple planar configuration of three rectilinear wires may not be holomorphically integrable when considered as a vector field in C3. In particular the method of the proof gives an easy way of showing that the corresponding real vector field does not admit a real polynomial first integral. This is also an alternative way of contradicting the Stefanescu conjecture in the polynomial setting.
Note:	Agraïments: The second author is partially supported by FCT through CAMGDS, Lisbon.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Analytic integrability ; Stefanescu's conjecture ; Magnetic field
Published in:	Physica D. Nonlinear phenomena, Vol. 251 (2013) , p. 60-62, ISSN 0167-2789

DOI: 10.1016/j.physd.2013.02.002

Postprint 5 p, 253.1 KB

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