A mixed spin-12 and spin-1 transverse Ising model with two- and four-spin interactions and crystal field on the honeycomb lattice is studied using a generalized mapping transformation technique. Exact expressions for the critical temperature, the magnetization, the correlation functions, the...

Exact solutions for the nonisospectral AKNS hierarchy are obtained through the inverse scattering transform. Some explicit forms of these solutions are further given. Reductions are also considered. Exact solutions of some nonisospectral hierarchies, such as the nonisospectral mKdV hierarchy,...

In light of the recent experimental observation of Bose–Einstein condensates held in 1D, 2D and 3D optical lattice potentials, we derive several families of exact solutions of the Gross–Pitaevskii equation from some balance conditions between the optical potentials and interaction energies....

We give a precise numerical solution for decorated Ising models on the simple cubic lattice which show ferromagnetism, compensation points, and reentrant behaviour. The models, consisting of S=12 spins on a simple cubic lattice, and decorating S=1 or S=32 spins on the bonds, can be mapped...

We study the multilayer growth of a single step model defined on a hexagonal lattice in d=1+1 dimensions. The growth model comprises deposition events, inlayer and interlayer diffusions, in particular, the newly discovered leapfrog mechanism. The model is applied to the (1×2) reconstructed...

We investigate an Ising model with three-spin interactions and five-spin interactions on a square lattice. We use exact mapping relations among interaction parameters and the temperature. We found that the system is equivalent to the eight-vertex model in some cases. For the system with an...

A mixed spin-12 and spin-S transverse Ising model with two- and four-spin interactions on the honeycomb lattice is studied using a generalized mapping transformation technique. The exact expressions for the critical temperature, the magnetization, the correlation functions, the internal energy...

Recently, a simplified model for reacting mixtures was investigated to admit the potential symmetries only when the structure function f(u) in the model was of the form u/2βγ+k. In this paper, we investigate some other properties of the nonlinear model with the condition f(u)=u/2βγ+k....

In 1968 we published the solution of the ground state energy and wave function of the one-dimensional Hubbard model, and we also showed that there is no Mott transition in this model. Details of the analysis have never been published, however. As the Hubbard model has become increasingly...