For a class of exterior ideals, we present a method associating first integrals of the characteristic distributions to symmetries of the ideal. The method is applied, under some assumptions, to the study of first integrals of ordinary differential equations and first order partial differential equations as well as to the determination of first integrals for integrable distributions of vector fields.

Symmetries and first integrals for non-variational equations / D. Catalano Ferraioli, P. Morando. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - 4:7(2007 Nov), pp. 1217-1230.

Symmetries and first integrals for non-variational equations

D. Catalano Ferraioli
;
P. Morando
Ultimo
2007

Abstract

For a class of exterior ideals, we present a method associating first integrals of the characteristic distributions to symmetries of the ideal. The method is applied, under some assumptions, to the study of first integrals of ordinary differential equations and first order partial differential equations as well as to the determination of first integrals for integrable distributions of vector fields.
first integrals; invariants; symmetries; exterior ideals
Settore MAT/07 - Fisica Matematica
Settore MAT/05 - Analisi Matematica
nov-2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/36418
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