Add to ORKGThis article is a part of the special issue titled “Symmetries and Integrability of Difference Equations (SIDE VI)” We apply the pfaffianization procedure to the q-difference version of the two-dimen-sional Toda lattice equation to produce the pfaffian analogue of the q-difference two-dimensional Toda lattice equation. A solution to the pfaffianized system is expressed in terms of the q-exponential functions.
We introduce and study twelve multivariable theta functions defined by pfaffians with elliptic funct...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-di...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
AbstractPfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda latt...
Abstract: A constructive method for exactly solving difference-difference equations(DDE) is presente...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
Let KdV stand for the Nth Gelfand-Dickey reduction of the KP hierarchy. The purpose of this Letter i...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Based on the motivation of generalizing the correspondence between the Lax equation for the Toda lat...
The first main aim of this article is to derive an explicit solution formula for the scalar two-dime...
We consider modular pairs of certain second-order q-difference equations. An example of such a pair ...
Two different methods of finding Lie point symmetries of differential-difference equations are prese...
summary:The paper can be understood as a completion of the $q$-Karamata theory along with a related ...
A relation between the Toda lattice and some fractal set is studied. The solutions of the Toda latti...
We introduce and study twelve multivariable theta functions defined by pfaffians with elliptic funct...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-di...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
AbstractPfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda latt...
Abstract: A constructive method for exactly solving difference-difference equations(DDE) is presente...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
Let KdV stand for the Nth Gelfand-Dickey reduction of the KP hierarchy. The purpose of this Letter i...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Based on the motivation of generalizing the correspondence between the Lax equation for the Toda lat...
The first main aim of this article is to derive an explicit solution formula for the scalar two-dime...
We consider modular pairs of certain second-order q-difference equations. An example of such a pair ...
Two different methods of finding Lie point symmetries of differential-difference equations are prese...
summary:The paper can be understood as a completion of the $q$-Karamata theory along with a related ...
A relation between the Toda lattice and some fractal set is studied. The solutions of the Toda latti...
We introduce and study twelve multivariable theta functions defined by pfaffians with elliptic funct...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-di...