On the construction of conservation laws: A mixed approach

被引：9
|
作者：
Ruggieri, M. [1 ]
Speciale, M. P. [2 ]
机构：
[1] Kore Univ Enna, Fac Engn & Architecture, Cittadella Univ,Via Olimpiadi, I-94100 Enna, Italy
[2] Univ Messina, Dept Math & Comp Sci Phys Sci & Earth Sci, Viale F Stagno dAlcontres 31, I-98166 Messina, Italy
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 02期
关键词：
PARTIAL-DIFFERENTIAL EQUATIONS;
D O I：
10.1063/1.4976189
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new approach, combining the Ibragimov method and the one by Anco and Bluman, with the aim of algorithmically computing local conservation laws of partial differential equations, is discussed. Some examples of the application of the procedure are given. The method, of course, is able to recover all the conservation laws found by using the direct method; at the same time we can characterize which symmetry, if any, is responsible for the existence of a given conservation law. Some new local conservation laws for the short pulse equation and for the Fornberg-Whitham equation are also determined. Published by AIP Publishing.
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页数：14
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