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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

Generalized solutions to the Benjamin-Ono equations in sense of Colombeau

Abstract: This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution.

Key words: B-O equation, Algebra of generalized solution, Hilbert transform


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DOI:

10.1631/jzus.2004.1466

CLC number:

O13

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Received:

2004-01-19

Revision Accepted:

2004-03-26

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