Based on the bosonization of vertex operators for A (1) n−1 face model by Asai,Jimbo, Miwa and Pugai,using vertex-face correspondence we obtain vertex operators for Zn symmetric Belavin model,which are constructed by deformed boson oscilllators. The correlation functions are also obtained.

This paper connects the analysis of the length of the longest weakly increasing subsequence of inhomogeneous random words to a Riemnn-Hilbert problem and an associated system of integrable partial differential equations. In particular, we show that the Poissonization of the distribution function of this length can be identified as the Jimbo-Miwa-Ueno tau function. © 2001 Elsevier Science B.V. A...

We found Fuchs–Garnier pairs in 3×3 matrices for the first and second Painlevé equations which are linear in the spectral parameter. As an application of our pairs for the second Painlevé equation we use the generalized Laplace transform to derive an invertible integral transformation relating two its Fuchs–Garnier pairs in 2×2 matrices with different singularity structures, namely, the pair du...

The Jimbo-Miwa equation (JME) that describes certain interesting (3+1)-dimensional waves in plasma physics is studied this work. Hirota bilinear developed via the Cole-Hopf transform. Then, symbolic computation, together with ansatz function schemes, are utilized to seek exact solutions. Some new solutions, such as multi-wave complexiton solution (MWCS), (MWS) and periodic lump (PLS), successfu...