Conservation laws by means of a new mixed method

被引：6
|
作者：
Ruggieri, M. [1 ]
Speciale, M. P. [2 ]
机构：
[1] Kore Univ Enna, Fac Engn & Architecture, 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：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2017年 / 95卷
关键词：
Conservation laws; Lie point symmetries; Differential equations; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD; SYMMETRIES; THEOREM;
D O I：
10.1016/j.ijnonlinmec.2017.07.010
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：327 / 332
页数：6
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