In this paper we derive new two-component integrable differential difference and partial difference systems by applying a Lax-Darboux scheme to an operator formed from an sl₃(C)-based automorphic Lie algebra. The integrability of the found systems is demonstrated via Lax pairs and generalised symmetries
In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpres...
We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions...
We propose a discrete Darboux-Lax scheme for deriving auto-Backlund transformations and constructing...
In this paper, we derive new two-component integrable differential difference and partial difference...
This thesis is concerned with the study of integrable differential difference and partial difference...
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinge...
This article reviews some recent theoretical results about the structure of Darboux integrable diffe...
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generali...
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generali...
In this paper we review two concepts directly related to the Lax representations: Darboux transforma...
The Darboux transformation approach is one of the most effective methods for constructing explicit s...
We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions...
The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable ...
We propose a method for construction of Darboux transformations, which is a new development of the d...
It is shown that the problem of reduction can be formulated in a uniform way using the theory of inv...
In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpres...
We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions...
We propose a discrete Darboux-Lax scheme for deriving auto-Backlund transformations and constructing...
In this paper, we derive new two-component integrable differential difference and partial difference...
This thesis is concerned with the study of integrable differential difference and partial difference...
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinge...
This article reviews some recent theoretical results about the structure of Darboux integrable diffe...
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generali...
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generali...
In this paper we review two concepts directly related to the Lax representations: Darboux transforma...
The Darboux transformation approach is one of the most effective methods for constructing explicit s...
We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions...
The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable ...
We propose a method for construction of Darboux transformations, which is a new development of the d...
It is shown that the problem of reduction can be formulated in a uniform way using the theory of inv...
In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpres...
We discuss the algebraic and analytic structure of rational Lax operators. With algebraic reductions...
We propose a discrete Darboux-Lax scheme for deriving auto-Backlund transformations and constructing...
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