A general Casoratian formulation is proposed for the 2D Toda lattice equation, which involves two coupled eigenfunction systems. Various Casoratian type solutions are generated, through solving the resulting linear conditions and using a Bäcklund transformation
The Toda lattice is a one-dimensional lattice with exponential interactions between nearest neighbor...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
Given the tridiagonal matrix J(t) defining a Toda lattice solution, the dynamic behavior of zeros of...
A general Casoratian formulation is proposed for the 2D Toda lattice equation, which involves two co...
AbstractThe two-dimensional Toda lattice equation with self-consistent sources is proposed based on ...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
A (nonlocal) linear integral equation is studied, which allows for Bäcklund transformations in the m...
Abstract In this paper, we derive the Grammian determinant solutions to the modified two-dimensional...
AbstractPfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda latt...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.1605(CU-DAMTP-NA--1996/18) / BLD...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
A (nonlocal) linear integral equation is studied, which allows for Bäcklund transformations in the m...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Abstract: A constructive method for exactly solving difference-difference equations(DDE) is presente...
The Toda lattice is a one-dimensional lattice with exponential interactions between nearest neighbor...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
Given the tridiagonal matrix J(t) defining a Toda lattice solution, the dynamic behavior of zeros of...
A general Casoratian formulation is proposed for the 2D Toda lattice equation, which involves two co...
AbstractThe two-dimensional Toda lattice equation with self-consistent sources is proposed based on ...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
A (nonlocal) linear integral equation is studied, which allows for Bäcklund transformations in the m...
Abstract In this paper, we derive the Grammian determinant solutions to the modified two-dimensional...
AbstractPfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda latt...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.1605(CU-DAMTP-NA--1996/18) / BLD...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
A (nonlocal) linear integral equation is studied, which allows for Bäcklund transformations in the m...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
Abstract: A constructive method for exactly solving difference-difference equations(DDE) is presente...
The Toda lattice is a one-dimensional lattice with exponential interactions between nearest neighbor...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
Given the tridiagonal matrix J(t) defining a Toda lattice solution, the dynamic behavior of zeros of...
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