Add to ORKGThis article is a part of the special issue titled “Symmetries and Integrability of Difference Equations (SIDE VI)” In this paper, we first present the Casorati and grammian determinant solutions to a special two-dimensional lattice by Blaszak and Szum. Then, by using the pfaffianiza-tion procedure of Hirota and Ohta, a new integrable coupled system is generated from the special lattice. Moreover, gram-type pfaffian solutions to the pfaffianized system are proposed. Finally, the bi-directional wronskian solutions to the corresponding molecule equation are given.
Integrability conditions for difference equations admitting a second order formal recursion operator...
In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of com...
The two-matrix model can be solved by introducing biorthogonal polynomials. In the case the potentia...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
AbstractIn this paper, we first present the Casorati and Grammian determinant solutions to the (2+1)...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Abstract A coupled two-dimensional lattice presented by Blaszak and Szum is studied with the aid of ...
The solutions to many soliton systems have been found or reexpressed in terms of Wronskian or Grammi...
The goal of this thesis is to present some novel results for solvable lattice models. In chapter 2 a...
The strong coupling limits of the integrable semi-discrete and fully discrete nonlinear Schrödinger ...
In this thesis we give an exact solution of the dimer model on the square and triangular lattice wit...
The aim of this work is to use the Pfaffian technique, along with the Hirota bilinear method to cons...
AbstractThe (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work...
The (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work. Wronsk...
In this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian technique. We ...
Integrability conditions for difference equations admitting a second order formal recursion operator...
In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of com...
The two-matrix model can be solved by introducing biorthogonal polynomials. In the case the potentia...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
AbstractIn this paper, we first present the Casorati and Grammian determinant solutions to the (2+1)...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Abstract A coupled two-dimensional lattice presented by Blaszak and Szum is studied with the aid of ...
The solutions to many soliton systems have been found or reexpressed in terms of Wronskian or Grammi...
The goal of this thesis is to present some novel results for solvable lattice models. In chapter 2 a...
The strong coupling limits of the integrable semi-discrete and fully discrete nonlinear Schrödinger ...
In this thesis we give an exact solution of the dimer model on the square and triangular lattice wit...
The aim of this work is to use the Pfaffian technique, along with the Hirota bilinear method to cons...
AbstractThe (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work...
The (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work. Wronsk...
In this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian technique. We ...
Integrability conditions for difference equations admitting a second order formal recursion operator...
In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of com...
The two-matrix model can be solved by introducing biorthogonal polynomials. In the case the potentia...