منابع مشابه
The Discrete AKNS-D Hierarchy
In this paper, we consider the discrete AKNS-D hierarchy, find the construction of the hierarchy, prove the bilinear identity and give the construction of the τ -functions of this hierarchy. PACS : 02.30.Ik, 11.10.Ef
متن کاملOn generating functions in the AKNS hierarchy
It is shown that the self-induced transparency equations can be interpreted as a generating function for as positive so negative flows in the AKNS hierarchy. Mutual commutativity of these flows leads to other hierarchies of integrable equations. In particular, it is shown that stimulated Raman scattering equations generate the hierarchy of flows which include the Heisenberg model equations. Thi...
متن کاملAKNS hierarchy coupled with Tyurin parameters
An elliptic analogue of the ordinary AKNS hierarchy is constructed. This gives an example of Krichever’s construction of Lax and zero-curvature equations on an algebraic curve. In addition to the usual AKNS fields, this hierarchy contains the so called Tyurin parameters as dynamical variables. The construction of the hierarchy resembles that of the ordinary AKNS hierarchy. A half of the Tyurin ...
متن کاملAKNS hierarchy and its binary Nonlinearization
A three-by-three matrix spectral problem for AKNS soliton hierarchy is proposed and the corresponding Bargmann symmetry constraint involved in Lax pairs and adjoint Lax pairs is discussed. The resulting nonlinearized Lax systems possess classical Hamiltonian structures, in which the nonlinearized spatial system is intimately related to stationary AKNS flows. These nonlinearized Lax systems also...
متن کاملA Coupled AKNS-Kaup-Newell Soliton Hierarchy
A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is proposed in terms of hereditary symmetry operators resulted from Hamiltonian pairs. Zero curvature representations and tri-Hamiltonian structures are established for all coupled AKNS-Kaup-Newell systems in the hierarchy. Therefore all systems have infinitely many commuting symmetries and conservation laws. Two reductions of...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/45/304