Symmetry properties are at the basis of integrability. In recent years, it appeared that so-called twisted symmetries are as effective as standard symmetries in many respects (integrating ODEs, finding special solutions to PDEs). Here we discuss how twisted symmetries can be used to detect integrability of Lagrangian systems which are not integrable via standard symmetries.
Twisted symmetries and integrable systems / G. Gaeta, G. Cicogna. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - 6:8(2009), pp. 1305-1321. [10.1142/S0219887809004235]
Twisted symmetries and integrable systems
G. GaetaPrimo
;
2009
Abstract
Symmetry properties are at the basis of integrability. In recent years, it appeared that so-called twisted symmetries are as effective as standard symmetries in many respects (integrating ODEs, finding special solutions to PDEs). Here we discuss how twisted symmetries can be used to detect integrability of Lagrangian systems which are not integrable via standard symmetries.
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