Published July 15, 2006 | Version v1
Journal article Metadata-only

An Effective Method for Seeking Conservation Laws of Partial Differential Equations

Creators

  • 1. Science Institute of Chongqing Technology and Business University, Chongqing 400067 (China)
  • 2. School of Science, Beijing Institute of Technology, Beijing 100081 (China)
  • 3. Department of Mathematics and Statistics, McMaster University, Ontario (Canada)

Description

This paper introduces an effective method for seeking local conservation laws of general partial differential equations (PDEs). The well-known variational principle does not involve in this method. Alternatively, the conservation laws can be derived from symmetries, which include the symmetries of the associated linearized equation of the PDEs, and the adjoint symmetries of the adjoint equation of the PDEs.

Availability note (English)

Available from http://dx.doi.org/10.1088/0253-6102/46/1/005

Additional details

Identifiers

DOI
10.1088/0253-6102/46/1/005;

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
46
Journal Issue
1
Journal Page Range
p. 21-22
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42050440
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ALGORITHMS; CONSERVATION LAWS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY; VARIATIONAL METHODS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL LOGIC