New conservation laws of some third-order systems of pdes arising from higher-order multipliers

被引：3

作者：

Morris, R.

Kara, A. H. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Wits, South Africa

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 06期

关键词：

Higher-order conservation laws; Third-order systems of pdes; PARTIAL LAGRANGIANS; SYMMETRIES;

D O I：

10.1016/j.amc.2010.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study conservation laws for some third-order systems of pdes, viz., some versions of the Boussinesq equations and the BBM equation. It is shown that new and interesting conserved quantities arise from 'multipliers' that are of order greater than one in derivatives of the dependent variables. Furthermore, the invariance properties of the conserved flows with respect to the Lie point symmetry generators are investigated via the symmetry action on the multipliers. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2639 / 2643

页数：5

共 50 条

[1] Systems of conservation laws with third-order Hamiltonian structures
Evgeny V. Ferapontov
Maxim V. Pavlov
Raffaele F. Vitolo
Letters in Mathematical Physics, 2018, 108 : 1525 - 1550
[2] Systems of conservation laws with third-order Hamiltonian structures
Ferapontov, Evgeny V.
Pavlov, Maxim V.
Vitolo, Raffaele F.
LETTERS IN MATHEMATICAL PHYSICS, 2018, 108 (06) : 1525 - 1550
[3] Third-order generalization: A new approach to categorizing higher-order generalization
Neville, Richard
NEUROCOMPUTING, 2008, 71 (7-9) : 1477 - 1499
[4] HIGHER-ORDER CONSERVATION-LAWS AND A HIGHER-ORDER NOETHERS THEOREM
CHEUNG, WS
ADVANCES IN APPLIED MATHEMATICS, 1987, 8 (04) : 446 - 485
[5] Symmetry analysis and conservation laws of some third-order difference equations
Folly-Gbetoula, M. K.
Mamba, S.
Kara, A. H.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (01) : 1 - 14
[6] Third-order generalization and a new approach to systematically categorizing higher-order generalization
Neville, RS
Proceedings of the International Joint Conference on Neural Networks (IJCNN), Vols 1-5, 2005, : 1924 - 1929
[7] Mutual compensation of the higher-order nonlinearity and the third-order dispersion
CCAST , P.O. Box 8730, Beijing 100080, China
不详
不详
Phys Lett Sect A Gen At Solid State Phys, 1-3 (67-72):
[8] Higher-order reverse automatic differentiation with emphasis on the third-order
R. M. Gower
A. L. Gower
Mathematical Programming, 2016, 155 : 81 - 103
[9] Higher-order reverse automatic differentiation with emphasis on the third-order
Gower, R. M.
Gower, A. L.
MATHEMATICAL PROGRAMMING, 2016, 155 (1-2) : 81 - 103
[10] Mutual compensation of the higher-order nonlinearity and the third-order dispersion
Liu, SL
Liu, XQ
PHYSICS LETTERS A, 1997, 225 (1-3) : 67 - 72

← 1 2 3 4 5 →