Conservation laws by means of a new mixed method. (October 2017)

• Record Type: Journal Article
• Authors: Ruggieri, M.; Speciale, M.P.
• Is Part Of: International journal of non-linear mechanics. Volume 95(2017)
• Page Start: 327
• Page End: 332
• Publication Date: 2017-10
• Subjects: Conservation laws -- Lie point symmetries -- Differential equations; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2017.07.010
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: In this paper, by using a mixed approach, recently introduced by the authors, some conservation laws of partial differential equations are derived. The method merges the Ibragimov's method and the one by Anco and Bluman. In particular, by applying this new mixed method, we determine all zero-th order conservation laws of Chaplygin and Shallow Water equations, as well as new conservation laws for a second order partial differential equation involving an arbitrary function.