We point out that in certain cases, all the differential equations (for given indipendent and dependent variables) possessing a given symmetry necessarily share a common solution. Under weaker conditions, all such differential equations have a solution—in general, different for different equations—characterized by a common symmetry. We characterize this situation and the common solution, or the common symmetry of solutions, and give concrete examples.
Commuting-flow symmetries and common solutions to differential equations with common symmetries / G. Gaeta, P. Morando. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 31:1(1998), pp. 337-347.
Titolo: | Commuting-flow symmetries and common solutions to differential equations with common symmetries | |
Autori: | GAETA, GIUSEPPE (Primo) MORANDO, PAOLA (Ultimo) | |
Parole Chiave: | symmetry ; differential equations | |
Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica | |
Data di pubblicazione: | 1998 | |
Rivista: | ||
Tipologia: | Article (author) | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/0305-4470/31/1/029 | |
Appare nelle tipologie: | 01 - Articolo su periodico |