Analytic solutions and Darboux transformation to a new Hamiltonian lattice hierarchy
2016 ◽
Vol 30
(08)
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pp. 1650100
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Keyword(s):
In this paper, a new Hamiltonian lattice hierarchy is analytically investigated, which can be reduced to some classic integrable lattice hierarchies, such as Ablowitz–Ladik hierarchy, Volterra hierarchy and multi-Hamiltonian lattice hierarchy, etc. By choosing the auxiliary problem [Formula: see text], we present a Darboux transformation (DT) to the new discrete matrix spectral problem. As its applications, a series of analytical solutions are generated in a recursive manner. Finally, the graphical analysis of these analytical solutions are presented, respectively. The DT of other lattice hierarchies can be also constructed in this method.
2013 ◽
Vol 71
(1)
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pp. 15-32
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2020 ◽
Vol 387
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pp. 124525
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2016 ◽
Vol 30
(30)
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pp. 1671001
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2011 ◽
Vol 25
(18)
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pp. 2481-2492
2006 ◽
Vol 20
(11)
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pp. 641-648
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2009 ◽
Vol 23
(19)
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pp. 3859-3869