The off-diagonal Bethe Ansatz method [1] is used to revisit the periodic XXX Heisenberg spin2 chain. It is found that the spectrum of the transfer matrix can be characterized by an inhomogeneous T-Q relation, a natural but nontrivial extension of Baxter’s T-Q relation [2]. One of Baxter’s important discoveries is the T-Q relation [2], which provides a convenient and universal parametrization fo...

In this paper we consider a class of the 2D integrable models. These models are higher spin XXZ chains with an extra condition of the commensurability between spin and anisotropy. The mathematics underlying this commensurability is provided by the quantum groups with deformation parameter being an Nth root of unity. Our discussion covers a range of topics including new integrable deformations, ...

in this paper, a  fuzzy numerical procedure for solving fuzzy linear volterra integro-differential equations of the second kind under strong  generalized differentiability is designed. unlike the existing numerical methods, we do not replace the original fuzzy equation by a $2times 2$ system ofcrisp equations, that is the main difference between our method  and other numerical methods.error ana...

Recent concept of integrable nonholonomic deformation found for the KdV equation is extended to the mKdV equation and generalized to the AKNS system. For the deformed mKdV equation we find a matrix Lax pair, a novel two-fold integrable hierarchy and exact N-soliton solutions exhibiting unusual accelerating motion. We show that both the deformed KdV and mKdV systems possess infinitely many gener...

Based on work related to the R-matrix theory, we first abstract Lax pairs proposed by Blaszak and Sergyeyev into a unified form. Then, generalized zero-curvature equation expressed Poisson bracket is exhibited. As an application of this (2+1)-dimensional integrable system obtained, from which resulting Davey–Stewartson (DS) Pavlov (gPe) are further obtained. Via use nonisospectral zero-curvatur...