Add to ORKGA relation between the Toda lattice and some fractal set is studied. The solutions of the Toda lattice in Moser’s form are derived from the $\mathrm{d}\mathrm{i}\mathrm{m}\mathrm{e}\mathrm{n}\mathrm{s}[mathring]_{\mathrm{l}}\mathrm{o}\mathrm{n}$ function of one-parameter deformation of the fractal set. The orbits of the Toda lattice and fractal set have information geometrical meaning. They are geodesics on the space of exponential type distribution.
We extend the classical theory of Darboux invariants from two to three dimensions in order to constr...
A geometrical and neat framework is established to derive both Toda and periodic Toda systems from t...
We consider the class of biorthogonal polynomials that are used to solve the inverse spectral proble...
A relation between the Toda lattice and some fractal set is studied. The solutions of the Toda latti...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
The Toda lattice is a one-dimensional lattice with exponential interactions between nearest neighbor...
In this paper we present an analytic and geometric framework for the construction of solutions of th...
Abstract. In this paper, we give finite dimensional exponential solutions of the bigraded Toda Hiera...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
The work is devoted to the investigation of the non-linear systems of differential equations with pa...
Starting from the Toda spectral problem, a new Toda lattice hierarchy of isospectral equations wi...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
The fractal Toda oscillator with an exponentially nonlinear term is extremely difficult to solve; El...
AbstractThe controlability of the n-dimensional Toda lattice is discussed and some of its properties...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
We extend the classical theory of Darboux invariants from two to three dimensions in order to constr...
A geometrical and neat framework is established to derive both Toda and periodic Toda systems from t...
We consider the class of biorthogonal polynomials that are used to solve the inverse spectral proble...
A relation between the Toda lattice and some fractal set is studied. The solutions of the Toda latti...
The tridiagonal Toda lattice equation is a fundamental example of an explicitly solvable differentia...
The Toda lattice is a one-dimensional lattice with exponential interactions between nearest neighbor...
In this paper we present an analytic and geometric framework for the construction of solutions of th...
Abstract. In this paper, we give finite dimensional exponential solutions of the bigraded Toda Hiera...
The Toda lattice is an important dynamical system studied in the theory of integrable systems. It is...
The work is devoted to the investigation of the non-linear systems of differential equations with pa...
Starting from the Toda spectral problem, a new Toda lattice hierarchy of isospectral equations wi...
The first main aim of this article is to derive an explicit solution formula for the scalar 2d-Toda ...
The fractal Toda oscillator with an exponentially nonlinear term is extremely difficult to solve; El...
AbstractThe controlability of the n-dimensional Toda lattice is discussed and some of its properties...
It is shown that the 2-dimensional Toda equation can be decomposed into two integrable differential-...
We extend the classical theory of Darboux invariants from two to three dimensions in order to constr...
A geometrical and neat framework is established to derive both Toda and periodic Toda systems from t...
We consider the class of biorthogonal polynomials that are used to solve the inverse spectral proble...