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An Effective Method for Seeking Conservation Laws of Partial Differential Equations

Year: 2006

Type: article

Abstract: 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.

Source: Communications in Theoretical Physics

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

Authors: Qin Mao-Chang, Mei Feng-Xiang, Fan Gui-Hong

Institutions: Chongqing Technology and Business University, Beijing Institute of Technology, McMaster University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W1975149624

FWCI:

Cites: 8

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Related to: 10