Author Publications

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Number of items: 31.

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]

Sorin, Alexander S. and Kersten, Paul H.M. (2004) Deformation and Recursion for the N=2 α=1 Supersymmetric KdV Hierarchy. Acta applicandae mathematicae, 83 (1-2). pp. 111-131. ISSN 0167-8019

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 $N = 1$ supersymmetric KDV equation. [Report]

Kersten, P.H.M. and Sorin, A.S. (2002) Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy. [Report]

Kersten, P.H.M. and Sorin, A.S. (2002) Bi-Hamiltonian structure of the N=2 supersymmetric α=1 KdV hierarchy. Physics Letters A, 300 (4-5). pp. 397-406. ISSN 0375-9601

Sorin, A.S. and Kersten, P.H.M. (2002) The $N=2$ supersymmetric unconstrained matrix GNLS hierarchies. [Report]

Sorin, A.S. and Kersten, P.H.M. (2002) Deformation and recursion for the $N = 2 \; \alpha = 1$ supersymmetric KdV hierarchy. [Report]

2001

Hoevenaars, L.K. and Kersten, P.H.M. and Martini, R. (2001) Generalized WDVV equations for F4 pure N=2 super-Yang–Mills theory. Physics Letters B, 503 (1-2). pp. 189-196. ISSN 0370-2693

2000

Hoevenaars, L.K. and Kersten, P.H.M. and Martini, R. (2000) Generalized WDVV equations for $F_4$ pure N=2 Super-Yang-Mills theory. [Report]

1998

Kersten, P.H.M. and Martini, R. (1998) Super Darboux-Egoroff equations and solutions. [Report]

1997

Bemmelen, T. van and Gragert, P.K.H. and Kersten, P.H.M. (1997) Symmetries and Conservation Laws of the System: $u_x = vw_x, v_y = uw_y, uv + w_{xx} + w_{yy} = 0$. Acta applicandae mathematicae, 47 (1). pp. 79-99. ISSN 0167-8019

Gragert, P.K.H. and Kersten, P.H.M. (1997) Differential Geometric Computations and Computer Algebra. Mathematical and Computer Modelling, 25 (8-9). pp. 11-24. ISSN 0895-7177

1992

Kersten, Paul H.M. (1992) The Lie-Backlund algebra for the general underdetermined equation ur=f(x,u,. . .,ur-1, nu ,. . ., nu k). Nonlinearity, 5 (3). pp. 763-770. ISSN 0951-7715

1989

Gragert, P.K.H. and Kersten, P.H.M. (1989) Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation. Acta applicandae mathematicae, 24 (3). pp. 211-231. ISSN 0167-8019

Kersten, Paul H.M. (1989) Software to compute infinitesimal symmetries of exterior differenial systems, with applications. Acta applicandae mathematicae, 16 (2). pp. 207-229. ISSN 0167-8019

1988

Kersten, P.H.M. and Gragert, P.K.H. (1988) Symmetries for the super-KdV equation: letter to the editor. Journal of physics A: Mathematical and general, 21 (11). L579. ISSN 0305-4470

Kersten, Paul H.M. (1988) Higher order supersymmetries and fermionic conservation laws of the supersymmetric extension of the KdV equation. Physics Letters A, 134 (1-5). pp. 25-30. ISSN 0375-9601

1984

Kersten, Paul and Martini, Ruud (1984) The harmonic map and Killing fields for self-dual SU(3) Yang-Mills equations. Journal of Physics A: Mathematical and general, 17 (5). L227. ISSN 0305-4470

1983

Gragert, P.K.H. and Kersten, P.H.M. and Martini, R. (1983) Symbolic computations in applied differential geometry. Acta applicandae mathematicae, 1 (1). pp. 43-77. ISSN 0167-8019

Kersten, Paul H.M. and Gragert, Peter K.H. (1983) The Lie algebra of infinitesimal symmetries of nonlinear diffusion equations. Journal of Physics A: Mathematical and general, 16 (18). L685-L688. ISSN 0305-4470

Martini, R. and Kersten, P.H.M. (1983) Contact symmetries of general linear second-order ordinary differential equations: letter to the editor. Journal of Physics A: Mathematical and General, 16 (13). L455. ISSN 0305-4470

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