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Magri, Franco

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Author ID: magri.franco Recent zbMATH articles by "Magri, Franco"
Published as: Magri, F.; Magri, Franco
Documents Indexed: 54 Publications since 1974

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 965 times in 754 Documents Cited by Year
A simple model of the integrable Hamiltonian equation. Zbl 0383.35065
Magri, Franco
452
1978
Poisson-Nijenhuis structures. Zbl 0707.58048
Kosmann-Schwarzbach, Yvette; Magri, Franco
93
1990
Bihamiltonian structures and Stäckel separability. Zbl 0952.37028
Ibort, A.; Magri, F.; Marmo, G.
41
2000
Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications. Zbl 0602.58017
Magri, F.; Morosi, C.; Ragnisco, O.
30
1985
On deformation of Poisson manifolds of hydrodynamic type. Zbl 1108.53044
Degiovanni, Luca; Magri, Franco; Sciacca, Vincenzo
28
2005
Poisson-Lie groups and complete integrability. I: Drinfeld bigebras, dual extensions and their canonical representations. Zbl 0667.16005
Kosmann-Schwarzbach, Y.; Magri, F.
22
1988
Bihamiltonian geometry, Darboux coverings, and linearization of the KP hierarchy. Zbl 0926.37017
Falqui, Gregorio; Magri, Franco; Pedroni, Marco
20
1998
Eight lectures on integrable systems. Written in collaboration with P. Casati, G. Falqui and M. Pedroni. Zbl 0907.58031
Magri, F.
20
1997
Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV. Zbl 0743.35072
Zubelli, Jorge P.; Magri, Franco
20
1991
Bihamiltonian manifolds and \(\tau{}\)-function. Zbl 0791.58050
Casati, Paolo; Magri, Franco; Pedroni, Marco
17
1992
Poisson-Nijenhuis structures and Sato hierarchy. Zbl 0752.35021
Magnano, G.; Magri, F.
17
1991
Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy. Zbl 0983.37087
Falqui, G.; Magri, F.; Tondo, G.
14
2000
A note on fractional KdV hierarchies. Zbl 0887.58021
Casati, Paolo; Falqui, Gregorio; Magri, Franco; Pedroni, Marco
13
1997
Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems. Zbl 0677.58025
Magri, F.; Morosi, C.; Tondo, G.
13
1988
Coisotropic deformations of associative algebras and dispersionless integrable hierarchies. Zbl 1136.37038
Konopelchenko, B. G.; Magri, F.
12
2007
Bihamiltonian geometry and separation of variables for Toda lattices. Zbl 0981.37018
Falqui, Gregorio; Magri, Franco; Pedroni, Marco
12
2001
Geometric proof of Lie’s linearization theorem. Zbl 1087.34515
Ibragimov, Nail H.; Magri, Franco
11
2004
Lax-Nijenhuis operators for integrable systems. Zbl 0862.58034
Kosmann-Schwarzbach, Y.; Magri, F.
11
1996
Variational formulation for every linear equation. Zbl 0282.49043
Magri, F.
11
1974
The method of Poisson pairs in the theory of nonlinear PDEs. Zbl 1061.35118
Magri, Franco; Falqui, Gregorio; Pedroni, Marco
9
2003
An operator approach to Poisson brackets. Zbl 0346.70014
Magri, F.
9
1976
Dispersionless integrable equations as coisotropic deformations: extensions and reductions. Zbl 1142.37043
Konopelchenko, B. G.; Magri, F.
8
2007
A bi-Hamiltonian theory for stationary KdV flows and their separability. Zbl 0947.37048
Falqui, G.; Magri, F.; Pedroni, M.; Zubelli, J. P.
7
2000
On the geometry of Darboux transformations for the KP hierarchy and its connection with the discrete KP hierarchy. Zbl 0891.35140
Magri, Franco; Pedroni, Marco; Zubelli, Jorge P.
7
1997
Old and new results on recursion operators: An algebraic approach to KP equation. Zbl 0736.35101
Magri, F.; Morosi, C.
6
1987
Equivalence transformations for nonlinear evolution equations. Zbl 0349.35050
Magri, Franco
6
1977
Bihamiltonian reductions and \({\mathcal W}_n\)-algebras. Zbl 0953.37014
Casati, Paolo; Falqui, Gregorio; Magri, Franco; Pedroni, Marco
5
1998
On the geometry of soliton equations. Zbl 0842.58048
Magri, Franco
5
1995
The Kowalevski’s top and the method of syzygies. Zbl 1137.70327
Magri, Franco
4
2005
Lenard chains for classical integrable systems. Zbl 1178.37059
Magri, F.
4
2003
Bihamiltonian manifolds and Sato’s equations. Zbl 0823.58017
Casati, Paolo; Magri, Franco; Pedroni, Marco
4
1993
Haantjes manifolds and Veselov systems. Zbl 1355.81114
Magri, Franco
3
2016
Recursion operators and Frobenius manifolds. Zbl 1271.53078
Magri, Franco
3
2012
A bihamiltonian approach to separation of variables in mechanics. Zbl 0965.35162
Falqui, G.; Magri, F.; Pedroni, M.
3
2000
Darboux coverings and rational reductions of the KP hierarchy. Zbl 0889.58042
Casati, Paolo; Falqui, Gregorio; Magri, Franco; Pedroni, Marco
3
1997
Dualization and deformation of Lie brackets on Poisson manifolds. Zbl 0798.53035
Kosmann-Schwarzbach, Yvette; Magri, Franco
3
1990
The geometry of soliton equations. Zbl 0781.35059
Magri, F.; Morosi, C.; Tondo, G.
3
1988
Properties of the Hamiltonian equations reducible to linear equations. Zbl 0426.70018
Magri, F.
3
1978
Haantjes manifolds with symmetry. Zbl 1404.37091
Magri, Franco
2
2018
An elementary approach to the polynomial \(\tau\)-functions of the KP-hierarchy. Zbl 0983.37088
Falqui, G.; Magri, F.; Pedroni, M.; Zubelli, J. P.
2
2000
A short introduction to Hamiltonian PDE’s. Zbl 0917.35121
Magri, F.
2
1998
Poisson-Nijenhuis structures, truncated loop algebras and Sato’s KP hierarchy. Zbl 0925.58034
Magnano, G.; Magri, F.
2
1992
A gentle (without chopping) approach to the full Kostant-Toda lattice. Zbl 1099.37050
Damianou, Pantelis A.; Magri, Franco
1
2005
A cohomological construction of integrable hierarchies of hydrodynamic type. Zbl 1095.35036
Lorenzoni, Paolo; Magri, Franco
1
2005
Darboux transformations and Darboux coverings: Some applications to the KP hierarchy. Zbl 0919.35119
Casati, P.; Falqui, G.; Magri, F.; Pedroni, M.; Zubelli, J. P.
1
1998
The Hamiltonian route to Sato Grassmannian. Zbl 1004.37509
Magri, Franco
1
1998
Bi-Hamiltonian formalism and the Darboux-Crum method. I: From the KP to the mKP hierarchy. Zbl 0877.35113
Magri, Franco; Zubelli, Jorge P.
1
1997
Haantjes manifolds with symmetry. Zbl 1404.37091
Magri, Franco
2
2018
Haantjes manifolds and Veselov systems. Zbl 1355.81114
Magri, Franco
3
2016
Recursion operators and Frobenius manifolds. Zbl 1271.53078
Magri, Franco
3
2012
Coisotropic deformations of associative algebras and dispersionless integrable hierarchies. Zbl 1136.37038
Konopelchenko, B. G.; Magri, F.
12
2007
Dispersionless integrable equations as coisotropic deformations: extensions and reductions. Zbl 1142.37043
Konopelchenko, B. G.; Magri, F.
8
2007
On deformation of Poisson manifolds of hydrodynamic type. Zbl 1108.53044
Degiovanni, Luca; Magri, Franco; Sciacca, Vincenzo
28
2005
The Kowalevski’s top and the method of syzygies. Zbl 1137.70327
Magri, Franco
4
2005
A gentle (without chopping) approach to the full Kostant-Toda lattice. Zbl 1099.37050
Damianou, Pantelis A.; Magri, Franco
1
2005
A cohomological construction of integrable hierarchies of hydrodynamic type. Zbl 1095.35036
Lorenzoni, Paolo; Magri, Franco
1
2005
Geometric proof of Lie’s linearization theorem. Zbl 1087.34515
Ibragimov, Nail H.; Magri, Franco
11
2004
The method of Poisson pairs in the theory of nonlinear PDEs. Zbl 1061.35118
Magri, Franco; Falqui, Gregorio; Pedroni, Marco
9
2003
Lenard chains for classical integrable systems. Zbl 1178.37059
Magri, F.
4
2003
Bihamiltonian geometry and separation of variables for Toda lattices. Zbl 0981.37018
Falqui, Gregorio; Magri, Franco; Pedroni, Marco
12
2001
Bihamiltonian structures and Stäckel separability. Zbl 0952.37028
Ibort, A.; Magri, F.; Marmo, G.
41
2000
Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy. Zbl 0983.37087
Falqui, G.; Magri, F.; Tondo, G.
14
2000
A bi-Hamiltonian theory for stationary KdV flows and their separability. Zbl 0947.37048
Falqui, G.; Magri, F.; Pedroni, M.; Zubelli, J. P.
7
2000
A bihamiltonian approach to separation of variables in mechanics. Zbl 0965.35162
Falqui, G.; Magri, F.; Pedroni, M.
3
2000
An elementary approach to the polynomial \(\tau\)-functions of the KP-hierarchy. Zbl 0983.37088
Falqui, G.; Magri, F.; Pedroni, M.; Zubelli, J. P.
2
2000
Bihamiltonian geometry, Darboux coverings, and linearization of the KP hierarchy. Zbl 0926.37017
Falqui, Gregorio; Magri, Franco; Pedroni, Marco
20
1998
Bihamiltonian reductions and \({\mathcal W}_n\)-algebras. Zbl 0953.37014
Casati, Paolo; Falqui, Gregorio; Magri, Franco; Pedroni, Marco
5
1998
A short introduction to Hamiltonian PDE’s. Zbl 0917.35121
Magri, F.
2
1998
Darboux transformations and Darboux coverings: Some applications to the KP hierarchy. Zbl 0919.35119
Casati, P.; Falqui, G.; Magri, F.; Pedroni, M.; Zubelli, J. P.
1
1998
The Hamiltonian route to Sato Grassmannian. Zbl 1004.37509
Magri, Franco
1
1998
Eight lectures on integrable systems. Written in collaboration with P. Casati, G. Falqui and M. Pedroni. Zbl 0907.58031
Magri, F.
20
1997
A note on fractional KdV hierarchies. Zbl 0887.58021
Casati, Paolo; Falqui, Gregorio; Magri, Franco; Pedroni, Marco
13
1997
On the geometry of Darboux transformations for the KP hierarchy and its connection with the discrete KP hierarchy. Zbl 0891.35140
Magri, Franco; Pedroni, Marco; Zubelli, Jorge P.
7
1997
Darboux coverings and rational reductions of the KP hierarchy. Zbl 0889.58042
Casati, Paolo; Falqui, Gregorio; Magri, Franco; Pedroni, Marco
3
1997
Bi-Hamiltonian formalism and the Darboux-Crum method. I: From the KP to the mKP hierarchy. Zbl 0877.35113
Magri, Franco; Zubelli, Jorge P.
1
1997
Lax-Nijenhuis operators for integrable systems. Zbl 0862.58034
Kosmann-Schwarzbach, Y.; Magri, F.
11
1996
On the geometry of soliton equations. Zbl 0842.58048
Magri, Franco
5
1995
Bihamiltonian manifolds and Sato’s equations. Zbl 0823.58017
Casati, Paolo; Magri, Franco; Pedroni, Marco
4
1993
Bihamiltonian manifolds and \(\tau{}\)-function. Zbl 0791.58050
Casati, Paolo; Magri, Franco; Pedroni, Marco
17
1992
Poisson-Nijenhuis structures, truncated loop algebras and Sato’s KP hierarchy. Zbl 0925.58034
Magnano, G.; Magri, F.
2
1992
Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV. Zbl 0743.35072
Zubelli, Jorge P.; Magri, Franco
20
1991
Poisson-Nijenhuis structures and Sato hierarchy. Zbl 0752.35021
Magnano, G.; Magri, F.
17
1991
Poisson-Nijenhuis structures. Zbl 0707.58048
Kosmann-Schwarzbach, Yvette; Magri, Franco
93
1990
Dualization and deformation of Lie brackets on Poisson manifolds. Zbl 0798.53035
Kosmann-Schwarzbach, Yvette; Magri, Franco
3
1990
Poisson-Lie groups and complete integrability. I: Drinfeld bigebras, dual extensions and their canonical representations. Zbl 0667.16005
Kosmann-Schwarzbach, Y.; Magri, F.
22
1988
Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems. Zbl 0677.58025
Magri, F.; Morosi, C.; Tondo, G.
13
1988
The geometry of soliton equations. Zbl 0781.35059
Magri, F.; Morosi, C.; Tondo, G.
3
1988
Old and new results on recursion operators: An algebraic approach to KP equation. Zbl 0736.35101
Magri, F.; Morosi, C.
6
1987
Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications. Zbl 0602.58017
Magri, F.; Morosi, C.; Ragnisco, O.
30
1985
A simple model of the integrable Hamiltonian equation. Zbl 0383.35065
Magri, Franco
452
1978
Properties of the Hamiltonian equations reducible to linear equations. Zbl 0426.70018
Magri, F.
3
1978
Equivalence transformations for nonlinear evolution equations. Zbl 0349.35050
Magri, Franco
6
1977
An operator approach to Poisson brackets. Zbl 0346.70014
Magri, F.
9
1976
Variational formulation for every linear equation. Zbl 0282.49043
Magri, F.
11
1974
all top 5

Cited by 740 Authors

30 Ma, Wen-Xiu
16 Magri, Franco
15 Pedroni, Marco
15 Tsyganov, Andreĭ Vladimirovich
14 De Sole, Alberto
14 Falqui, Gregorio
14 Kosmann-Schwarzbach, Yvette
13 Kac, Victor G.
12 Morosi, Carlo
11 Konopelchenko, Boris Georgievich
11 Lorenzoni, Paolo
11 Ortenzi, Giovanni
10 Damianou, Pantelis Andrea
10 Fuchssteiner, Benno
10 Olver, Peter John
9 Nutku, Yavuz
9 Prykarpatsky, Anatoliy Karolevych
8 Błaszak, Maciej
8 Fokas, Athanassios S.
8 Guha, Partha
8 Sheng, Yunhe
8 Tondo, Giorgio
8 Valeri, Daniele
7 Bogoyavlenskij, Oleg Igorevich
7 Brunelli, J. C.
7 Casati, Matteo
7 Casati, Paolo
7 Das, Ashok Kr.
7 Marmo, Giuseppe
7 Mokhov, Oleg I.
7 Nunes da Costa, Joana Margarida M.
7 Pizzocchero, Livio
7 Tu, Guizhang
7 Wang, Jingping
7 Xu, Ping
7 Zhang, Yufeng
7 Zubelli, Jorge P.
6 Anco, Stephen C.
6 Bolsinov, Alexey V.
6 Fan, Engui
6 Ragnisco, Orlando
6 Santini, Paolo Maria
6 Sheftel, Mikhail B.
6 Sokolov, Vladimir Vyacheslavovich
6 Yazıcı, Devrim
6 Zhang, Youjin
5 Bai, Chengming
5 Blackmore, Denis L.
5 Carillo, Sandra
5 Carlet, Guido
5 Dobrogowska, Alina
5 Dorf’man, Irina Yakovlevna
5 Laurent-Gengoux, Camille
5 Liu, Siqi
5 Oevel, Walter
5 Rubtsov, Vladimir Nikolaevich
5 Vilasi, Gaetano
5 Yan, Zhenya
5 Zhang, Hongqing
4 Caudrelier, Vincent
4 Fordy, Allan P.
4 Hernández-Bermejo, Benito
4 Kiselev, Arthemy V.
4 Marrero, Juan Carlos
4 McAnally, Morgan
4 Pavlov, Maxim V.
4 Qu, Changzheng
4 Shadrin, Sergey V.
4 Stiénon, Mathieu
4 Tam, Honwah
4 Vaisman, Izu
4 Verosky, John M.
4 Vitolo, Raffaele F.
3 Alonso, L. Martínez
3 Bogolyubov, Nikolaĭ Nikolaevich jun.
3 Bruschi, Mario
3 Carini, Angelo
3 Caseiro, Raquel
3 Crampin, Mike
3 Degiovanni, Luca
3 Dinar, Yassir Ibrahim
3 Dong, Huanhe
3 Dubrovin, Boris Anatol’evich
3 Gao, Yu
3 Gel’fand, Israil’ Moiseevich
3 Grabowski, Janusz
3 Gümral, Hasan
3 Guo, Li
3 Haghighatdoost, Ghorbanali
3 He, Longguang
3 Horozov, Emil Ivanov
3 Huang, Wen-Jui
3 Izosimov, Anton
3 Kang, Jing
3 Kersten, Paul H. M.
3 Krasil’shchik, Iosif Semënovich
3 Liu, Baokang
3 Liu, Jianguo
3 Liu, Jiefeng
3 Liu, Xiaochuan
...and 640 more Authors
all top 5

Cited in 159 Serials

147 Journal of Mathematical Physics
81 Journal of Geometry and Physics
52 Communications in Mathematical Physics
35 Theoretical and Mathematical Physics
31 Letters in Mathematical Physics
31 Journal of Nonlinear Mathematical Physics
16 Reports on Mathematical Physics
15 Physica D
15 Differential Geometry and its Applications
15 Regular and Chaotic Dynamics
11 Chaos, Solitons and Fractals
11 Acta Applicandae Mathematicae
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Functional Analysis and its Applications
7 Applied Mathematics and Computation
6 Journal of Mathematical Sciences (New York)
6 Bulletin des Sciences Mathématiques
5 Journal of Mathematical Analysis and Applications
5 Advances in Mathematics
5 Studies in Applied Mathematics
5 Applied Mathematics Letters
5 International Journal of Geometric Methods in Modern Physics
5 Journal of Physics A: Mathematical and Theoretical
4 Applicable Analysis
4 Physica A
4 Reviews in Mathematical Physics
4 Duke Mathematical Journal
4 Journal of Differential Equations
4 Journal of Soviet Mathematics
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Transformation Groups
4 Journal of High Energy Physics
3 Modern Physics Letters B
3 International Journal of Modern Physics A
3 Communications in Algebra
3 International Journal of Theoretical Physics
3 Nonlinearity
3 Ukrainian Mathematical Journal
3 Annales de l’Institut Fourier
3 Journal of Algebra
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Nonlinear Science
3 Nonlinear Dynamics
3 Mathematical Physics, Analysis and Geometry
3 Communications in Nonlinear Science and Numerical Simulation
3 Japanese Journal of Mathematics. 3rd Series
3 Journal of Geometric Mechanics
2 Modern Physics Letters A
2 International Journal of Modern Physics B
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 Russian Mathematical Surveys
2 Inventiones Mathematicae
2 Journal of Computational and Applied Mathematics
2 Journal of Functional Analysis
2 Journal of Pure and Applied Algebra
2 Applied Mathematics and Mechanics. (English Edition)
2 Annals of Global Analysis and Geometry
2 Applied Numerical Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 SIAM Journal on Mathematical Analysis
2 Journal of Dynamics and Differential Equations
2 Indagationes Mathematicae. New Series
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 St. Petersburg Mathematical Journal
2 European Journal of Mechanics. A. Solids
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Lobachevskii Journal of Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Noncommutative Geometry
2 Advances in Mathematical Physics
2 Nelineĭnaya Dinamika
1 Computers and Fluids
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Ingenieur-Archiv
1 Israel Journal of Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Physics Letters. A
1 Physics Reports
1 Reviews of Modern Physics
1 Transport Theory and Statistical Physics
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Compositio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
...and 59 more Serials
all top 5

Cited in 41 Fields

491 Dynamical systems and ergodic theory (37-XX)
295 Partial differential equations (35-XX)
184 Differential geometry (53-XX)
141 Nonassociative rings and algebras (17-XX)
117 Mechanics of particles and systems (70-XX)
83 Global analysis, analysis on manifolds (58-XX)
64 Quantum theory (81-XX)
32 Ordinary differential equations (34-XX)
25 Topological groups, Lie groups (22-XX)
22 Associative rings and algebras (16-XX)
16 Algebraic geometry (14-XX)
16 Fluid mechanics (76-XX)
14 Operator theory (47-XX)
12 Difference and functional equations (39-XX)
11 Relativity and gravitational theory (83-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Numerical analysis (65-XX)
8 Manifolds and cell complexes (57-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Computer science (68-XX)
5 Commutative algebra (13-XX)
5 Category theory; homological algebra (18-XX)
5 Group theory and generalizations (20-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Special functions (33-XX)
4 Functional analysis (46-XX)
4 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
2 Combinatorics (05-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Systems theory; control (93-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 Geophysics (86-XX)

Citations by Year