We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) differential operators on the superline. We show that every Darboux transformation of such operators factorizes into elementary Darboux transformations of order one. Similar statement holds for operators on the ordinary line
AbstractIt is proved that any one-dimensional, first order Hamiltonian differential operator can be ...
summary:Automorphisms of the family of all Sturm-Liouville equations $y^{^{\prime \prime }}=qy$ are ...
The Darboux transformation approach is one of the most effective methods for constructing explicit s...
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) dif...
We consider differential operators on a supermanifold of dimension 1|1. We define non-degenerate ope...
Abstract. For operators of many different kinds it has been proved that (generalized) Darboux transf...
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u...
The Darboux transformation, well known in second-order differential operator theory, is applied to t...
Abstract. Darboux Transformation, well known in second order dierential operator theory, is applied ...
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twi...
AbstractAll operators which result from successive first-order Darboux transformations of the square...
We consider Darboux transformations for the derivative nonlinear Schrödinger equation. A new theorem...
This paper is concemed with a generalized type of Darboux transformations defined in terms of a twis...
AbstractWe show that a recently developed modified Darboux transformation that uses foreign auxiliar...
This article reviews some recent theoretical results about the structure of Darboux integrable diffe...
AbstractIt is proved that any one-dimensional, first order Hamiltonian differential operator can be ...
summary:Automorphisms of the family of all Sturm-Liouville equations $y^{^{\prime \prime }}=qy$ are ...
The Darboux transformation approach is one of the most effective methods for constructing explicit s...
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) dif...
We consider differential operators on a supermanifold of dimension 1|1. We define non-degenerate ope...
Abstract. For operators of many different kinds it has been proved that (generalized) Darboux transf...
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u...
The Darboux transformation, well known in second-order differential operator theory, is applied to t...
Abstract. Darboux Transformation, well known in second order dierential operator theory, is applied ...
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twi...
AbstractAll operators which result from successive first-order Darboux transformations of the square...
We consider Darboux transformations for the derivative nonlinear Schrödinger equation. A new theorem...
This paper is concemed with a generalized type of Darboux transformations defined in terms of a twis...
AbstractWe show that a recently developed modified Darboux transformation that uses foreign auxiliar...
This article reviews some recent theoretical results about the structure of Darboux integrable diffe...
AbstractIt is proved that any one-dimensional, first order Hamiltonian differential operator can be ...
summary:Automorphisms of the family of all Sturm-Liouville equations $y^{^{\prime \prime }}=qy$ are ...
The Darboux transformation approach is one of the most effective methods for constructing explicit s...
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