The Lax pair for the fermionic Bazhanov-Stroganov R-operator

Eigenvectors of Open Bazhanov–Stroganov Quantum Chain

In this contribution we give an explicit formula for the eigenvectors of Hamiltonians of open Bazhanov–Stroganov quantum chain. The Hamiltonians of this quantum chain is defined by the generation polynomial An(λ) which is upper-left matrix element of monodromy matrix built from the cyclic L-operators. The formulas for the eigenvectors are derived using iterative procedure by Kharchev and Lebede...

The L(sl2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model

The loop algebra L(sl2) symmetry is found in a sector of the nilpotent BazhanovStroganov model. The Drinfeld polynomial of a L(sl2)-degenerate eigenspace of the model is equivalent to the polynomial [4, 5, 10–14] which characterizes a subspace with the Isinglike spectrum of the superintegrable chiral Potts model.

The Lax Pair for the Mkdv Hierarchy

— In this paper we give an algorithmic method of deriving the Lax pair for the modified Korteweg-de Vries hierarchy. For each n, the compatibility condition gives the n-th member of the hierarchy, rather than its derivative. A direct consequence of this is that we obtain the isomonodromy problem for the second Painlevé hierarchy, which is derived through a scaling reduction. Résumé (La paire de...

Lax Operator for the Quantised Orthosymplectic

A Lax Operator Hierarchy for the New Fifth Order Integrable System

We consider the Lax representation of the new two-component coupled integrable system recently discovered by the author. Connection of the hierarchy of infinitely many Lax pairs with each other is presented.