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GEOMETRIC METHODS IN PHYSICS dynamical systems |
BI-HAMILTONIAN MECHANICS
------------ 1998 -------------------
Blaszak, Maciej
On separability of bi-Hamiltonian chain with degenerated
Poisson structures
Journal of mathematical physics.
Volume 39, Number 6, pp. 3213, 1998
Blaszak, Maciej
Bi-Hamiltonian separable chains on Riemannian manifolds
Physics letters: [Part A]
Volume 243, Number 1-2, pp. 25, 1998
Dacosta JMN.
COMPATIBLE JACOBI MANIFOLDS - GEOMETRY AND REDUCTION
Journal of Physics A-Mathematical & General. 31(3):1025-1033, 1998 Jan 23.
Hernandezbermejo B. Fairen V.
Simple evaluation of Casimir invariants in finite-dimensional Poisson systems
Physics Letters A. 241(3):148-154, 1998 Apr 27.
Kalayci J. Nutku Y.
ALTERNATIVE BI-HAMILTONIAN STRUCTURES FOR WDVV EQUATIONS OF ASSOCIATIVITY
Journal of Physics A-Mathematical & General. 31(2):723-734, 1998 Jan 16.
------------ 1997 -------------------
Dacosta JMN. Marle CM.
MASTER SYMMETRIES AND BI-HAMILTONIAN STRUCTURES FOR THE RELATIVISTIC TODA LATTICE
Journal of Physics A-Mathematical & General. 30(21):7551-7556, 1997 Nov 7.
Eguchi T. Hori K. Xiong CS.
GRAVITATIONAL QUANTUM COHOMOLOGY
International Journal of Modern Physics A. 12(9):1743-1782, 1997 Apr 10.
Ferapontov, E V; Galvao, C A P; Mokhov, O I; Nutku, Y
Bi-Hamiltonian Structure of Equations of Associativity in 2-d Topological Field Theory
Communications in mathematical physics.
Volume 186, Number 3, pp. 649, 1997
Feher L. Marshall I.
EXTENDED MATRIX GELFAND-DICKEY HIERARCHIES - REDUCTION TO CLASSICAL LIE ALGEBRAS
Journal of Physics A-Mathematical & General. 30(16):5815-5824, 1997 Aug 21.
Ferapontov EV. Galvao CAP. Mokhov OI. Nutku Y.
BI-HAMILTONIAN STRUCTURE OF EQUATIONS OF ASSOCIATIVITY IN 2-D TOPOLOGICAL FIELD THEORY
Communications in Mathematical Physics. 186(3):649-669, 1997 Jul.
Guha P.
ADLER-KOSTANT-SYMES CONSTRUCTION, BI-HAMILTONIAN MANIFOLDS, AND KDV EQUATIONS
Journal of Mathematical Physics. 38(10):5167-5182, 1997 Oct.
Huang WJ.
A HIDDEN CONNECTION BETWEEN LAX DESCRIPTIONS AND SUPEREXTENSIONS OF KDV HIERARCHY
International Journal of Modern Physics A. 12(2):465-478, 1997 Jan 20.
Jiang ZM.
THE HAMILTONIAN STRUCTURE OF NEW INTEGRABLE SYSTEMS ASSOCIATED WITH 2X2 SPECTRAL PROBLEMS
Physics Letters A. 228(4-5):275-278, 1997 Apr 14.
Kalayci, J; Nutku, Y
Bi-Hamiltonian structure of a WDVV equation in 2-d topological field theory
Physics letters: [Part A]
Volume 227, Number 3-4, pp. 177, 1997
Mukhopadhyay I. Chowdhury AR.
MARSDEN-RATIU REDUCTION AND W-3(2) ALGEBRA
Helvetica Physica Acta. 70(6):878-885, 1997 Sep.
Sannikov, S S
Cosmological Aspects of the Theory of Relativistic Bi-Hamiltonian Systems. II
Russian physics journal = Izvestiia VUZ. Fizika.
Volume 39, Number 8, pp. 767, 1996
Smirnov, Roman G
Magri-Morosi-Gel'fand-Dorfman's bi-Hamiltonian constructions in the action-angle variables
Journal of mathematical physics.
Volume 38, Number 12, pp. 6444, 1997
Smirnov, Roman G
Bi-Hamiltonian Formalism: A Constructive Approach
Letters in mathematical physics.
Volume 41, Number 4, pp. 333, 1997
Radha R. Lakshmanan M.
LOCALIZED COHERENT STRUCTURES AND INTEGRABILITY IN A GENERALIZED (2(1)-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION)
Chaos Solitons & Fractals. 8(1):17-25, 1997 Jan.
Suris YB.
NEW INTEGRABLE SYSTEMS RELATED TO THE RELATIVISTIC TODA LATTICE
Journal of Physics A-Mathematical & General. 30(5):1745-1761, 1997 Mar 7.
Sasaki N.
DIFFERENTIAL GEOMETRY AND INTEGRABILITY OF THE HAMILTONIAN SYSTEM OF A CLOSED VORTEX FILAMENT
Letters in Mathematical Physics. 39(3):229-241, 1997 Feb.
Tsuchida T. Kajinaga Y. Wadati M.
TRI-HAMILTONIAN STRUCTURE AND COMPLETE INTEGRABILITY OF VOLTERRA MODEL
Journal of the Physical Society of Japan. 66(9):2608-2617, 1997 Sep.
Thompson G.
A FORMULA FOR NIJENHUIS TORSION AND THE UNIQUENESS ASPECT OF THE INVERSE PROBLEM OF LAGRANGIAN DYNAMICS
Journal of Physics A-Mathematical & General. 30(2):689-695, 1997 Jan 21.
Zhu, Z; Huang, H C; Xue, W M; Wu, X N
The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with 3 X 3 matrix spectral problems
Physics letters: [Part A]
Volume 235, Number 3, pp. 227,
------------ 1996 -------------------
Brouzet R. Caboz R. Rabenivo J. Ravoson V.
TWO DEGREES OF FREEDOM QUASI-BI-HAMILTONIAN SYSTEMS
Journal of Physics A-Mathematical & General. 29(9):2069-2076, 1996 May 7.
Bogoyavlenskij OI.
NECESSARY CONDITIONS FOR EXISTENCE OF NON-DEGENERATE HAMILTONIAN STRUCTURES
Communications in Mathematical Physics.
182(2):253-289, 1996 Dec.
Karasoezen, B.
Composite Integrators for Bi-Hamiltonian Systems
Computers & mathematics with applications.
Volume 32, Number 7, 79, 1996
Kosmannschwarzbach Y. Magri F.
LAX-NIJENHUIS OPERATORS FOR INTEGRABLE SYSTEMS
Journal of Mathematical Physics.
37(12):6173-6197, 1996 Dec.
Liu, Q P
Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima-Oikawa hierarchy
Journal of mathematical physics.
Volume 37, Number 5, pp. 2307, 1996
Medan, C
The bi-Hamiltonian structure of the Lagrange top
Physics letters: [Part A]
Volume 215, Number 3-4, pp. 176, 1996
Morosi, Carlo; Pizzocchero, Livio
On the Euler Equation: Bi-Hamiltonian Structure and Integrals in Involution
Letters in mathematical physics.
Volume 37, Number 2, pp. 117, 1996
Tasso H.
HAMILTONIAN FORMULATION OF ODD BURGERS HIERARCHY
Journal of Physics A-Mathematical & General. 29(23):7779-7784, 1996 Dec 7.
Plank, M
Bi-Hamiltonian systems and Lotka-Volterra equations: A three-dimensional classification
Nonlinearity.
Volume 9, Number 4, pp. 887, 1996
Roy PK.
AN INTEGRABLE SYSTEM GOVERNED BY COUPLED NON-LINEAR EVOLUTION EQUATIONS
Nuovo Cimento della Societa Italiana di Fisica A-Nuclei Particles & Fields.
109(11):1613-1615, 1996 Nov.
------------ 1995 -------------------
Blaszak, Maciej
Bi-Hamiltonian formulation for the Korteweg-de Vries hierarchy with sources
Journal of mathematical physics.
Volume 36, Number 9, pp. 4826, 1995
Kasperczuk S.
NORMAL FORM, LIE-POISSON STRUCTURE AND REDUCTION FOR THE HENON-HEILES SYSTEM
Celestial Mechanics & Dynamical Astronomy.
63(3-4):245-253, 1995.
Mulvey, J A
Bi-Hamiltonian formulations of the Bateman equation
Physics letters: [Part A]
Volume 207, Number 3-4, pp. 147, 1995
Morosi C. Pizzocchero L.
ON THE BI-HAMILTONIAN INTERPRETATION OF THE LAX FORMALISM [Review]
Reviews in Mathematical Physics. 7(3):389-430, 1995 Apr.
Mulvey JA.
BI-HAMILTONIAN FORMULATIONS OF THE BATEMAN EQUATION
Physics Letters A. 207(3-4):147-152, 1995 Oct 30.
Pedroni, Marco
Equivalence of the Drinfeld-Sokolov Reduction to a Bi-Hamiltonian Reduction
Letters in mathematical physics.
Volume 35, Number 4, pp. 291, 1995
Rauch-Wojciechowski S.
MECHANICAL SYSTEMS RELATED TO THE SCHRODINGER SPECTRAL PROBLEM
Chaos Solitons & Fractals. 5(12):2235-2259, 1995 Dec.
Romeiras FJ.
A NOTE ON INTEGRABLE TWO-DEGREES-OF-FREEDOM HAMILTONIAN SYSTEMS WITH A SECOND INTEGRAL QUARTIC IN THE MOMENTA
Journal of Physics A-Mathematical & General. 28(19):5633-5642, 1995 Oct 7.
Sannikov, S S
Cosmological Aspects of the Theory of Relativistic Bi-Hamiltonian Systems. 1. Formation of the Space-Time Continuum of the General Theory of Relativity
Russian physics journal = Izvestiia VUZ. Fizika.
Volume 38, Number 2, pp. 197, 1995
Smirnov, R G
Master symmetries and higher order invariants for finite dimensional bi-Hamiltonian systems
Comptes rendus mathematiques de l'Academie des sciences = Mathematical reports of the Academy of Science.
Volume 17, Number 5, pp. 225, 1995
Yu J. Lin J.
FORMAL SERIES SYMMETRIES AND TRUNCATED SYMMETRIES OF A BILINEAR SCHRODINGER EQUATION
Communications in Theoretical Physics. 23(1):65-68, 1995 Jan 30.
------------ 1994 -------------------
Blaszak M. Marciniak K.
R-MATRIX APPROACH TO LATTICE INTEGRABLE SYSTEMS
Journal of Mathematical Physics. 35(9):4661-4682, 1994 Sep.
Chowdhury, A. R.; Mukhopadhyay, I.
Unstable Nonlinear Schroedinger Equation - A Drinfel'd-Sokolov Approach and BI-Hamiltonian Structure
Modern physics letters A.
Volume 9, Number 24, 2189, 1994
Fernandes, Rui L.
Completely Integrable Bi-Hamiltonian Systems.
Journal of dynamics and differential equations.
Volume 6, Number 1, pp 53-70, 1994
Gumral, H.; Nutku, Y.
Bi-Hamiltonian structures of d-Boussinesq and Benney-Lax equations.
Journal of physics A: Mathematical and general.
Volume 27, Number 1, p 193, 1994
Kulish PP. Rauchwojciechowski S. Tsiganov AV.
RESTRICTED FLOWS OF THE KDV HIERARCHY AND R-MATRIX FORMALISM
Modern Physics Letters A. 9(22):2063-2073, 1994 Jul 20.
Morosi, Carlo; Pizzocchero, Livio
On the equivalence of two super Korteweg-deVries theories: A bi-Hamiltonian viewpoint.
Journal of mathematical physics.
Volume 35, Number 5, p 2397, 1994
Palit, S.; Chowdhury, A. Roy
Heisenberg subalgebra, dressing approach and super bi-Hamiltonian integrable system.
Journal of physics A: Mathematical and general.
Volume 27, Number 10, L311, 1994
Prykarpatskyj AK. Samoilenko VH. Andrushkiw RI.
ALGEBRAIC STRUCTURE OF THE GRADIENT-HOLONOMIC ALGORITHM FOR LAX INTEGRABLE
NONLINEAR DYNAMICAL SYSTEMS .2. THE REDUCTION VIA DIRAC AND CANONICAL QUANTIZATION PROCEDURE
Journal of Mathematical Physics. 35(8):4088-4116, 1994 Aug.
Ragnisco O. Rauch-Wojciechowski S.
INTEGRABLE MECHANICAL SYSTEMS RELATED TO THE HARRY-DYM HIERARCHY
Journal of Mathematical Physics. 35(2):834-847, 1994 Feb.
------------ 1993 -------------------
Blaszak, M.
Bi-Hamiltonian field Garnier system.
Physics letters: [Part A]
Volume 174, Number 1-2, p 85, 1993
Casati, P.; Magri, F.; Pedroni, M.
The bihamiltonian approach to integrable systems.
Mathematical physics studies.
Volume 14, 101-110, 1993
ISSUE : Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics (Proc the Internat Workshop Acireale, Catania, Italy, Oct 27-31, 1992)
Fernandes, R. L.
On the master of symmetries and bi-Hamiltonian structure of the Toda lattice.
Journal of physics A: Mathematical and general.
Volume 26, Number 15, p 3797, 1993
Khudaverdian OM. Nersessian AP.
EVEN AND ODD SYMPLECTIC AND KAHLERIAN STRUCTURES ON PROJECTIVE SUPERSPACES
Journal of Mathematical Physics. 34(12):5533-5548, 1993 Dec.
Liu QP.
BI-HAMILTONIAN STRUCTURE OF A GENERALIZED SUPER KORTEWEG-DEVRIES EQUATION
Journal of Physics A-Mathematical & General. 26(23):L1239-L1242, 1993 Dec 7.
Mcarthur IN.
ODD POISSON BRACKETS AND THE FERMIONIC HIERARCHY OF BECKER AND BECKER
Journal of Physics A-Mathematical & General. 26(22):6379-6384, 1993 Nov 21.
Morosi, C.; Pizzocchero, L.
On the BiHamiltonian Structure of the Supersymmetric KdV Hierarchies. A Lie Superalgebraic Approach.
Communications in mathematical physics.
Volume 158, Number 2, 267, 1993
Nersesyan AN.
ON THE GEOMETRY OF SUPERMANIFOLDS WITH EVEN AND ODD KAHLERIAN STRUCTURES
Theoretical & Mathematical Physics. 96(1):866-871, 1993 Jul.
Oevel W. Sidorenko J. Strampp W.
HAMILTONIAN STRUCTURES OF THE MELNIKOV SYSTEM AND ITS REDUCTIONS
Inverse Problems. 9(6):737-747, 1993 Dec.
Oevel, W.; Strampp, W.
Constrained KP Hierarchy and Bi-Hamiltonian Structures.
Communications in mathematical physics.
Volume 157, Number 1, p. 51, 1993
Scherer, W.; Zakrzewski, S.
Inequivalent quantizations of bi-Hamiltonian systems.
Journal of physics A: Mathematical and general.
Volume 26, Number 3, L113, 1993
Suris, Yu. B.
On the bi-Hamiltonian structure of Toda and relativistic Toda lattices.
Physics letters: [Part A]
Volume 180, Number 6, p. 419, 1993
Zeng, Yunbo
The bi-Hamiltonian structure for the restricted flows of the Boussinesq and the modified Boussinesq equation.
Journal of mathematical physics.
Volume 34, Number 10, p 4742, 1993
------------ 1992 -------------------
Antonowicz, Marek; Rauch-Wojciechowski, Stefan
How to construct finite-dimensional bi-Hamiltonian systems
from soliton equations: Jacobi integrable potentials.
Journal of mathematical physics.
Volume 33, Number 6, pp 2115-2125, 1992
Antonowicz, M.; Rauch-Wojciechowski, S.
Bi-Hamiltonian formulation of the Henon-Heiles system and its multidimensional extensions.
Physics letters: [Part A]
Volume 163, Number 3, 167-172, 1992
Blaszak, M; Basarab-Horwath, P.
Bi-Hamiltonian formulation of a finite-dimensional integrable
system reduced from a Lax hierarchy of the KdV.
Physics letters: [Part A]
Volume 171, Number 1-2, 45, 1992
Casati, Paolo; Pedroni, Marco
Drinfeld-Sokolov Reduction on a Simple Lie Algebra from the Bihamiltonian Point of View.
Letters in mathematical physics.
Volume 25, Number 2, 89, 1992
Panda, S.; Roy, S.
The bi-hamiltonian structures of the Manin-Radul super KP hierarchy.
Physics letters: [Part B]
Volume 291, Number 1-2, p 77, 1992
Scherer, W.
Bi-Hamiltonian systems and Maslov indices.
Journal of mathematical physics.
Volume 33, Number 11, p 3746, 1992
Yu, Feng
Bi-Hamiltonian structure of super KP hierarchy.
Journal of mathematical physics.
Volume 33, Number 9, p 3180, 1992
------------ 1991 -------------------
Figueroa-O'Farrill, Jose M.; Mas, Javier; Ramos, Eduardo
Bihamiltonian structure of the KP Hierarchy and the Wsub kp algebra.
Physics letters: [Part B]
Volume 266, Number 3-4, 298-302, 1991
Figueroa-O'Farrill, Jose M.; Ramos, Eduardo; Mas, Javier
Integrability and Bihamiltonian Structure of the Even Order SKdV Hierarchies.
Reviews in mathematical physics.
Volume 3, Number 4, pp 479-502
Gelfand, Israel M.; Zakharevich, Ilya
Webs, Veronese Curves, and Bihamiltonian Systems.
Journal of functional analysis.
Volume 99, Number 1, p 150-178, 1991
Rauch-Wojciechowski, S.
New restricted flows of the KdV hierarchy and their bi-Hamiltonian structure.
Physics letters: [Part A]
Volume 160, Number 3, pp 241-246, 1991
Rauch-Wojciechowski, S.
A bi-Hamiltonian formulation for separable potentials and its application to the Kepler problem and the Euler problem of two centers of gravitation.
Physics letters: [Part A]
Volume 160, Number 2, pp 149-154, 1991
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