Перегляд за автором "Sklyanin, E."

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  • Bäcklund Transformation for the BC-Type Toda Lattice 
    Kuznetsov, V.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity ...
  • Integrable Hierarchy of the Quantum Benjamin-Ono Equation 
    Nazarov, M.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many ...