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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (11): 22-    DOI: 10.1631/jzus.2004.1466
    
Generalized solutions to the Benjamin-Ono equations in sense of Colombeau
JIN Xiao-gang, YANG Jian-gang, LIN Jie
Institute of Artificial Intelligence, College of Computer Science, Zhejiang University, Hangzhou 310027, China
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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 wordsB-O equation      Algebra of generalized solution      Hilbert transform     
Received: 19 January 2004     
CLC:  O13  
Cite this article:

JIN Xiao-gang, YANG Jian-gang, LIN Jie. Generalized solutions to the Benjamin-Ono equations in sense of Colombeau. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(11): 22-.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.1466     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I11/22

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