A HIERARCHY OF SOLITON EQUATIONS ASSOCIATED WITH A HIGHER-DIMENSIONAL LOOP ALGEBRA AND ITS TRI-HAMILTONIAN STRUCTURE
2008 ◽
Vol 22
(19)
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pp. 1837-1850
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Keyword(s):
Set Up
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A new higher-dimensional loop algebra is given for which a Lax isospectral problem is set up whose compatibility condition gives rise to a Liouville integrable soliton hierarchy along with eight-component potential functions. Specially, the hierarchy of evolution equations has a tri-Hamiltonian structure obtained by the trace identity.
2006 ◽
Vol 19
(3)
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pp. 301-306
Keyword(s):
2010 ◽
Vol 24
(14)
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pp. 1573-1594
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2011 ◽
Vol 25
(11)
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pp. 1553-1558
2007 ◽
Vol 21
(11)
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pp. 663-673
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Keyword(s):
2009 ◽
Vol 23
(24)
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pp. 4855-4879
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Keyword(s):