Add to ORKGThis article reviews some recent theoretical results about the structure of Darboux integrable differential systems and their relationship with symmetry reduction of exterior differential systems. The symmetry reduction representation of Darboux integrable equations is then used to derive some new and unusual transformations
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinge...
In this paper, we derive new two-component integrable differential difference and partial difference...
We study a differential-difference equation of the form tx(n+1) =f(t(n),t(n+1), tx(n)) with unknown ...
The Darboux transformation approach is one of the most effective methods for constructing explicit s...
Darboux's method reduces the problem of integrating some partial differential equations in two indep...
In this paper we derive new two-component integrable differential difference and partial difference ...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
This is the first book to systematically state the fundamental theory of integrability and its devel...
Abstract In this article we summarize the results on algebraic aspects of integrability for polynomi...
In this paper we review two concepts directly related to the Lax representations: Darboux transforma...
We prove that 1) diagonal systems of hydrodynamic type are Darboux integrable if and only if the cor...
We use the theory of reduction of exterior differential systems with symmetry to study the problem o...
We propose a method for construction of Darboux transformations, which is a new development of the d...
The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable ...
We deal with complex planar differential systems having a Darboux first integral H. We present a def...
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinge...
In this paper, we derive new two-component integrable differential difference and partial difference...
We study a differential-difference equation of the form tx(n+1) =f(t(n),t(n+1), tx(n)) with unknown ...
The Darboux transformation approach is one of the most effective methods for constructing explicit s...
Darboux's method reduces the problem of integrating some partial differential equations in two indep...
In this paper we derive new two-component integrable differential difference and partial difference ...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
This is the first book to systematically state the fundamental theory of integrability and its devel...
Abstract In this article we summarize the results on algebraic aspects of integrability for polynomi...
In this paper we review two concepts directly related to the Lax representations: Darboux transforma...
We prove that 1) diagonal systems of hydrodynamic type are Darboux integrable if and only if the cor...
We use the theory of reduction of exterior differential systems with symmetry to study the problem o...
We propose a method for construction of Darboux transformations, which is a new development of the d...
The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable ...
We deal with complex planar differential systems having a Darboux first integral H. We present a def...
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrödinge...
In this paper, we derive new two-component integrable differential difference and partial difference...
We study a differential-difference equation of the form tx(n+1) =f(t(n),t(n+1), tx(n)) with unknown ...