Exact solutions of some classical PDEs with two independent variables are achieved by exploiting a double reduction method, which is applied after deducing conserved vectors associated to Lie point symmetries. These are generally obtained through the application of Noether's theorem, after introducing the notions of adjoint equation and extended Lagrangian. Alternatively associated conserved vectors can be obtained by a direct method.

Symmetries and exact solutions via conservation laws for some partial differential equations of Mathematical Physics / Caraffini, Gian Luca; M., Galvani. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 1873-5649. - 219:(2012), pp. 1474-1484. [10.1016/j.amc.2012.07.050]

Symmetries and exact solutions via conservation laws for some partial differential equations of Mathematical Physics

CARAFFINI, Gian Luca;
2012-01-01

Abstract

Exact solutions of some classical PDEs with two independent variables are achieved by exploiting a double reduction method, which is applied after deducing conserved vectors associated to Lie point symmetries. These are generally obtained through the application of Noether's theorem, after introducing the notions of adjoint equation and extended Lagrangian. Alternatively associated conserved vectors can be obtained by a direct method.
2012
Symmetries and exact solutions via conservation laws for some partial differential equations of Mathematical Physics / Caraffini, Gian Luca; M., Galvani. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 1873-5649. - 219:(2012), pp. 1474-1484. [10.1016/j.amc.2012.07.050]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2553044
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