# Author Publications

**12**.

## 2010

Kersten, P.H.M. and Krasil'shchik, I.S. and Verbovetsky, A.M. and Vitolo, R.
(2010)
*Integrability of Kupershmidt Deformations.*
Acta Applicandae Mathematicae, 109
(1).
pp. 75-86.
ISSN 0167-8019

## 2008

Golovko, V and Kersten, P.H.M. and Krasil'shchik, I. and Verbovetsky, A.V.
(2008)
*On integrability of the Camassa–Holm equation and its invariants: A geometrical approach.*
Acta Applicandae Mathematicae, 101
(1-3).
pp. 59-83.
ISSN 0167-8019

## 2006

Kersten, P.H.M. and Krasil'shchik, I.
(2006)
*The Cartan covering and complete integrability of the KdV-mKdV system.*
In: Constructive Algebra and Systems Theory, November 2000, Amsterdam (pp. pp. 251-265).

Kersten, P.H.M. and Krasil'shchik, I. and Verbovetsky, A.V.
(2006)
*A geometric study of the dispersionless Boussinesq type equation.*
Acta Applicandae Mathematicae, 90
(1-2).
pp. 143-178.
ISSN 0167-8019

## 2005

Verbovetsky, A.V. and Kersten, P.H.M. and Krasil'shchik, I.
(2005)
*The D-Boussinesq equation: Hamiltonian and symplectic structures; Noether and inverse Noether operators.*
[Report]

## 2004

Kersten, P. and Krasil'shchik, I. and Verbovetsky, A.
(2004)
*On the Integrability Conditions for Some Structures Related to Evolution Differential Equations.*
Acta Applicandae Mathematicae, 83
(1-2).
pp. 167-173.
ISSN 0167-8019

Kersten, P. and Krasil'shchik, I. and Verbovetsky, A.
(2004)
*Hamiltonian operators and ℓ*-coverings.*
Journal of Geometry and Physics, 50
(1-4).
pp. 273-302.
ISSN 0393-0440

Kersten, P.H.M. and Krasil'shchik, I. and Verbovetsky, A.V.
(2004)
*The Monge-Ampère equation: Hamiltonian and symplectic structures, recursions, and hierarchies.*
[Report]

## 2003

Igonin, S. and Kersten, P.H.M. and Krasil'shchik, I.
(2003)
*On symmetries and cohomological invariants of equations possessing flat representations.*
Differential Geometry and its Applications, 19
(3).
pp. 319-342.
ISSN 0926-2245

## 2002

Igonin, S. and Kersten, P.H.M. and Krasil'shchik, I.
(2002)
*On symmetries and cohomological invariants of equations possessing flat representations.*
[Report]

Kersten, P.H.M. and Krasil'shchik, I.
(2002)
*From recursion operators to Hamiltonian structures. The factorization method.*
[Report]

Kersten, P.H.M. and Krasil'shchik, I. and Verbovetsky, A.V.
(2002)
*An extensive study of the supersymmetric KDV equation.*
[Report]

**Sun Feb 14 06:10:35 2016 CET**.