A SOLITON HIERARCHY FROM THE LEVI SPECTRAL PROBLEM AND ITS TWO INTEGRABLE COUPLINGS, HAMILTONIAN STRUCTURE
Keyword(s):
A soliton-equation hierarchy from the D. Levi spectral problem is obtained under the framework of zero curvature equation. By employing two various multi-component Lie algebras and the loop algebras, we enlarge the Levi spectral problem and the corresponding time-part isospectral problems so that two different integrable couplings are produced. Using the quadratic-form identity yields the Hamiltonian structure of one of the two integrable couplings.
2007 ◽
Vol 21
(01)
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pp. 37-44
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2013 ◽
Vol 5
(05)
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pp. 652-670
2007 ◽
Vol 46
(12)
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pp. 3182-3192
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2009 ◽
Vol 23
(14)
◽
pp. 3059-3072
Keyword(s):