Hamiltonian multiform description of an integrable hierarchy
نویسندگان
چکیده
منابع مشابه
A Hierarchy of Discrete Integrable Equation and its Hamiltonian Structure
In this paper a new discrete isospectral problem is constructed, from which a new Lax integrable discrete equation is generated and obtain its hierarchy structure. The Hamiltonian structures for the hierarchy of the Lax integrable discrete equation is established by using the trace identity which was proposed by Tu.
متن کاملA Super-Integrable Hierarchy and Its Super-Hamiltonian Structure
It has been an important and interesting topic in soliton theory for searching for new Lax integrable or Liouville integrable systems as many as possible such that they are associated with certain evolution equations with physical meaning. The simple and efficient method to obtain continuous or discrete integrable systems was proposed Tu. Ma developed it and called it Tu scheme. By taking advan...
متن کاملHierarchy of Integrable Geodesic Flows
A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodesically equivalent metrics.
متن کاملAngle variable holonomy in adiabatic excursion of an integrable Hamiltonian
I f an integrable classical Hamiltonian H describing bound motion depends on parameters which are changed very slowly then the adiabatic theorem states that the action variables I of the motion are conserved. Here the fate of the angle uarinbles is analysed. Because of the unavoidable arbitrariness in their definition, angle variables belonging to distinct initial and final Hamiltonians cannot ...
متن کاملHopf Algebra Symmetries of an Integrable Hamiltonian for Anyonic Pairing
Since the advent of Drinfel’d’s double construction, Hopf algebraic structures have been a centrepiece for many developments in the theory and analysis of integrable quantum systems. An integrable anyonic pairing Hamiltonian will be shown to admit Hopf algebra symmetries for particular values of its coupling parameters. While the integrable structure of the model relates to the well-known six-v...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2020
ISSN: 0022-2488,1089-7658
DOI: 10.1063/5.0012153