The Strict AKNS Hierarchy: Its Structure and Solutions
نویسندگان
چکیده
منابع مشابه
AKNS 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...
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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 ...
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2016
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2016/3649205