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Extended Conservation Laws of Some Nonlinear Partial Differential Equations

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-04-01

Journal: COMMUNICATIONS IN THEORETICAL PHYSICS

Included Journals: ISTIC、SCIE

Volume: 53

Issue: 4

Page Number: 693-697

ISSN: 0253-6102

Key Words: extended conservation laws; Lagrangian function; Noether's theorem

Abstract: Self-adjoint theorem is introduced to match the corresponding functional of the given differential equations, and then Noether's theorem is used to determine the extended conservation laws of the original equations. Finally, as the application of the method, the conservation laws of Drinfel'd-Sokolov-Wilson equation and Benjamin-Bona-Mahony equation are constructed.

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