In:
Modern Physics Letters B, World Scientific Pub Co Pte Ltd, Vol. 30, No. 08 ( 2016-03-30), p. 1650100-
Abstract:
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.
Type of Medium:
Online Resource
ISSN:
0217-9849
,
1793-6640
DOI:
10.1142/S0217984916501001
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2016
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