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ARE SYMMETRY GROUPS OF PDE RESTRICTED BY THE JET BUNDLE FORMULATION?

 

作者: DominicG. B. Edelen,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1988）
卷期: Volume 12, issue 1  

页码: 101-113

 

ISSN:1607-3606

 

年代: 1988

 

DOI:10.1080/16073606.1988.9632166

 

出版商: Taylor & Francis Group

 

关键词: 58A3Ø;53B15

 

数据来源: Taylor

 

摘要:

Yesl Any equation of conservation of the form ∂x{P(∂xφ, ∂tφ) = ∂t{Q(∂xφ, ∂tφ)is shown to admit an infinite-dimensional, Abellan group of symmetries that is not a prolongation symmetry group. Explicit equations are given for the determination of the generators of the Lle algebra of this Abellan symmetry group, and for the generators of Its underlying Poisson algebra.

 

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