Constructing hierarchy of sinh-Gordon-type equations from soliton hierarchy with self-consistent source

Yunbo Zeng

Physica A: Statistical Mechanics and its Applications, 1998, vol. 259, issue 3, 278-290

Abstract: A method for constructing hierarchy of sinh-Gordon (ShG)-type equations from soliton hierarchy with self-consistent source is proposed. The Lax representation for the ShG-type equation is naturally deduced from that for soliton equation with self-consistent sources. Several new hierarchies of ShG-type equations are presented.

Keywords: Soliton hierarchy with self-consistent sources; Sinh-Gordon-type equation; Lax representation (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:259:y:1998:i:3:p:278-290

DOI: 10.1016/S0378-4371(98)00257-X

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