## Conte, Robert Maurice

Compute Distance To:
 Author ID: conte.robert-m Published as: Conte, Robert; Conte, R.; Conte, Robert M. more...less Further Spellings: Conte, Robert Maurice Jules Homepage: https://hkumath.hku.hk/~conte/ External Links: ORCID · dblp · IdRef
 Documents Indexed: 99 Publications since 1984, including 2 Books 3 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 34 Co-Authors with 80 Joint Publications 666 Co-Co-Authors
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### Co-Authors

 21 single-authored 46 Musette, Micheline 8 Verhoeven, Caroline 6 Grundland, Alfred Michel 6 Ng, Tuen-Wai 5 Pickering, Andrew 3 Fordy, Allan P. 3 Raynal, Jacques 2 Bugaychuk, Svetlana 2 Gandarias Núñez, Maria Luz 2 Labrunie, Simon 2 Wu, Chengfa 2 Yee, Tat-Leung 1 Boccara, Nino 1 Bouquet, Serge 1 Calogero, Francesco A. 1 Chaté, Hugues 1 Chen, Zhixiong 1 Dias, Frédéric 1 Dornic, Ivan 1 Guo, Ben-Yu 1 Kelsch, Vincent 1 Leyvraz, Francois 1 Lin, Runliang 1 Louvet, Fabien 1 Marcq, Philippe 1 Nguyen, Hai Yen 1 Rogers, Colin 1 Schief, Wolfgang Karl 1 Soulié, E. 1 Springael, Johan 1 Trân Thanh Vân, J. 1 Wong, Kwok-Kin 1 Xu, Neil 1 Zhao, Junxiao
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### Serials

 13 Journal of Mathematical Physics 10 Journal of Physics A: Mathematical and General 7 Theoretical and Mathematical Physics 7 Journal of Nonlinear Mathematical Physics 6 Physics Letters. A 6 Physica D 3 Studies in Applied Mathematics 3 Journal of Physics A: Mathematical and Theoretical 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Modern Physics B 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Glasgow Mathematical Journal 1 Acta Applicandae Mathematicae 1 Acta Mathematica Sinica. New Series 1 Bulletin des Sciences Mathématiques 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Analysis in Theory and Applications 1 Complex Variables and Elliptic Equations 1 Mathematical Physics Studies 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 RIMS Kôkyûroku Bessatsu 1 CRM Series in Mathematical Physics
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### Fields

 55 Partial differential equations (35-XX) 37 Ordinary differential equations (34-XX) 28 Dynamical systems and ergodic theory (37-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 6 Fluid mechanics (76-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Algebraic geometry (14-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

70 Publications have been cited 642 times in 476 Documents Cited by Year
Link between solitary waves and projective Riccati equations. Zbl 0782.35065
Conte, R.; Musette, M.
1992
The Painlevé handbook. Zbl 1153.34002
Conte, Robert M.; Musette, Micheline
2008
Painlevé analysis and Bäcklund transformation in the Kuramoto- Sivashinsky equation. Zbl 0687.35087
Conte, Robert; Musette, Micheline
1989
The Painlevé property. One century later. Zbl 0989.00036
1999
A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011
Conte, Robert; Fordy, Allan P.; Pickering, Andrew
1993
Elliptic general analytic solutions. Zbl 1185.35221
Conte, R.; Musette, M.
2009
Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations. Zbl 0734.35086
Musette, M.; Conte, R.
1991
Explicit integration of the Hénon-Heiles Hamiltonians. Zbl 1362.37126
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
2005
The two-singular-manifold method. I: Modified Korteweg-de Vries and sine-Gordon equations. Zbl 0843.35109
Musette, M.; Conte, R.
1994
Analytic solitary waves of nonintegrable equations. Zbl 1098.74615
Musette, Micheline; Conte, Robert
2003
The Bianchi IX (mixmaster) cosmological model is not integrable. Zbl 0959.83508
Latifi, A.; Musette, M.; Conte, R.
1994
The Painlevé approach to nonlinear ordinary differential equations. Zbl 1034.34103
Conte, Robert
1999
Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation. Zbl 0816.35128
Marcq, Philippe; Chaté, Hugues; Conte, Robert
1994
Exact solutions of nonlinear partial differential equations by singularity analysis. Zbl 1060.35001
Conte, Robert
2003
Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation. Zbl 0791.35129
Conte, Robert; Musette, Micheline
1993
Painlevé structure of a multi-ion electrodiffusion system. Zbl 1177.82098
Conte, R.; Rogers, C.; Schief, W. K.
2007
Factorization of the ‘classical Boussinesq’ system. Zbl 0837.35121
Conte, Robert; Musette, Micheline; Pickering, Andrew
1994
Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. I. Kaup-Kupershmidt equation. Zbl 0932.35180
Musette, Micheline; Conte, Robert
1998
Meromorphic solutions of a third order nonlinear differential equation. Zbl 1309.34006
Conte, Robert; Ng, Tuen-Wai
2010
Singularities of differential equations and integrability. Zbl 0948.34065
Conte, Robert
1994
Completeness of the cubic and quartic Hénon-Heiles hamiltonians. Zbl 1178.37057
Conte, R.; Musette, M.; Verhoeven, C.
2005
The two-singular manifold method. II: Classical Boussinesq system. Zbl 0856.35113
Conte, R.; Musette, M.; Pickering, A.
1995
Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation. Zbl 1250.35151
Conte, Robert; Ng, Tuen-Wai; Wong, Kwok-Kin
2012
Integration of a generalized Hénon-Heiles Hamiltonian. Zbl 1059.37043
Verhoeven, C.; Musette, M.; Conte, R.
2002
Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II: Tzitzéica equation. Zbl 0946.35086
Conte, Robert; Musette, Micheline; Grundland, A. Michel
1999
A reduction of the resonant three-wave interaction to the generic sixth Painlevé equation. Zbl 1126.34054
Conte, Robert; Grundland, A. Michel; Musette, Micheline
2006
Determination of point group harmonics for arbitrary j by a projection method. I: Cubic group, quantization along an axis of order 4. Zbl 0544.20042
Conte, R.; Raynal, Jacques; Soulié, E.
1984
Analytic doubly periodic wave patterns for the integrable discrete nonlinear Schrödinger (Ablowitz-Ladik) model. Zbl 1195.81048
Chow, K. W.; Conte, Robert; Xu, Neil
2006
The master Painlevé VI heat equation. (L’équation maîtresse de la chaleur associée à Painlevé VI.) Zbl 1309.34146
Conte, Robert; Dornic, Ivan
2014
A new method to test discrete Painlevé equations. Zbl 1037.39500
Conte, Robert; Musette, Micheline
1996
Unification of PDE and ODE versions of Painlevé analysis into a single invariant version. Zbl 0856.34010
Conte, Robert
1992
The Painlevé handbook. 2nd updated and extended edition. Zbl 1489.34001
Conte, Robert; Musette, Micheline
2020
Determination of point group harmonics for arbitrary j by a projection method. III: Cubic group, quantization along a ternary axis. Zbl 0578.20042
Raynal, Jacques; Conte, Robert
1984
Analytic expressions of hydrothermal waves. Zbl 1015.76014
Conte, Robert; Musette, Micheline
2000
A geometrical method towards first integrals for dynamical systems. Zbl 0870.34049
Labrunie, Simon; Conte, Robert
1996
General solution for Hamiltonians with extended Cubic and quartic potentials. Zbl 1068.37042
Verhoeven, C.; Musette, M.; Conte, R.
2003
On the Lax pairs of the sixth Painlevé equation. Zbl 1120.34335
Conte, Robert
2007
Hayman’s classical conjecture on some nonlinear second-order algebraic ODEs. Zbl 1336.34125
Conte, Robert; Ng, Tuen-Wai; Wu, Cheng-Fa
2015
Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation. Zbl 1333.30041
Conte, Robert; Ng, Tuen-Wai
2012
Doubly periodic waves of a discrete nonlinear Schrödinger system with saturable nonlinearity. Zbl 1165.39005
Conte, Robert; Chow, K. W.
2008
First-degree birational transformations of the Painlevé equations and their continguity relations. Zbl 0996.34076
Conte, Robert; Musette, Micheline
2001
Detection and construction of an elliptic solution of the complex cubic-quintic Ginzburg-Landau equation. Zbl 1282.35365
Conte, R.; Ng, Tuen-Wai
2012
Non-Fuchsian extension to the Painlevé test. Zbl 1020.34503
Musette, Micheline; Conte, Robert
1995
New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides. Zbl 1460.34005
Calogero, F.; Conte, R.; Leyvraz, F.
2020
On a labeling for point group harmonics. I: Cubic group. Zbl 0578.20043
Conte, Robert; Raynal, Jacques
1985
On the Schlesinger transformations of the sixth Painlevé equation. (Sur les transformations de Schlesinger de la sixième équation de Painlevé.) Zbl 1019.34085
Conte, Robert
2001
Reductions of Gauss-Codazzi equations. Zbl 1361.35142
Conte, Robert; Grundland, A. Michel
2016
On a “global analytic solution” of a chaotic differential equation of third order. (Sur la “solution analytique générale” d’une équation différentielle chaotique du troisième ordre.) Zbl 1038.37030
Yee, T.-L.; Conte, R.; Musette, M.
2003
A closed-form solution in a dynamical system related to Bianchi IX. Zbl 1220.83012
Conte, R.
2008
Solutions of the buoyancy-drag equation with a time-dependent acceleration. Zbl 1420.37114
Bouquet, Serge E.; Conte, Robert; Kelsch, Vincent; Louvet, Fabien
2017
Generalized Bonnet surfaces and Lax pairs of $$\mathrm{P}_{\mathrm{VI}}$$. Zbl 1380.34131
Conte, Robert
2017
Beyond the two-singular manifold method. Zbl 0941.37549
Conte, R.; Musette, M.
1996
Solitary waves and Lax pairs from polynomial expansions of nonlinear differential equations. Zbl 0941.35518
Musette, Micheline; Conte, Robert
1992
The test of negative integer indices in Painlevé analysis of NLPDE. Zbl 0941.35502
Conte, Robert
1992
Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions. Zbl 1159.76041
Conte, R.; Grundland, A. M.; Huard, B.
2009
Symmetry reductions of a particular set of equations of associativity in two-dimensional topological field theory. Zbl 1069.53060
Conte, Robert; Gandarias, Maria Luz
2005
On the solitary wave of two coupled nonintegrable Ginzburg-Landau equations. Zbl 0964.35148
Conte, Robert; Musette, Micheline
2000
New contiguity relation of the sixth Painlevé equation from a truncation. Zbl 0996.34075
Conte, Robert; Musette, Micheline
2002
Solitary waves of nonlinear nonintegrable equations. Zbl 1080.35109
Conte, R.; Musette, M.
2005
Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations. Zbl 07465726
Conte, Robert; Ng, Tuen-Wai; Wu, Chengfa
2022
Nonintegrability of the Bianchi IX model. Zbl 1194.83022
Latifi, A.; Musette, M.; Conte, R.
1995
Exact solutions to the partially integrable Eckhaus equation. Zbl 0850.35105
Conte, R.; Musette, M.
1994
Surfaces de Bonnet et équations de Painlevé. (Bonnet surfaces and Painlevé equations.) Zbl 1357.34138
Conte, Robert
2017
On reductions of some KdV-type systems and their link to the quartic Hénon-Heiles Hamiltonian. Zbl 1123.37036
Verhoeven, C.; Musette, M.; Conte, R.
2006
Painlevé analysis and Bäcklund transformation of the nonintegrable KPP partial differential equation. Zbl 0724.35025
Conte, R.
1990
On exact solutions of the Bianchi IX cosmological model in the proper time. Zbl 0913.53047
Springael, J.; Conte, R.; Musette, M.
1998
Another integrable case in the Lorenz model. Zbl 1049.34003
Yee, Tat-Leung; Conte, Robert
2004
A perturbative extension of the Painlevé test. Zbl 0786.35111
Conte, R.; Fordy, A. P.; Pickering, A.
1993
Exact solutions to the complex Ginzburg-Landau equation from a linear system. Zbl 0793.35097
Conte, R.; Musette, M.
1993
Painlevé property of the Hénon-Heiles Hamiltonians. Zbl 1144.34061
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
2006
Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations. Zbl 07465726
Conte, Robert; Ng, Tuen-Wai; Wu, Chengfa
2022
The Painlevé handbook. 2nd updated and extended edition. Zbl 1489.34001
Conte, Robert; Musette, Micheline
2020
New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides. Zbl 1460.34005
Calogero, F.; Conte, R.; Leyvraz, F.
2020
Solutions of the buoyancy-drag equation with a time-dependent acceleration. Zbl 1420.37114
Bouquet, Serge E.; Conte, Robert; Kelsch, Vincent; Louvet, Fabien
2017
Generalized Bonnet surfaces and Lax pairs of $$\mathrm{P}_{\mathrm{VI}}$$. Zbl 1380.34131
Conte, Robert
2017
Surfaces de Bonnet et équations de Painlevé. (Bonnet surfaces and Painlevé equations.) Zbl 1357.34138
Conte, Robert
2017
Reductions of Gauss-Codazzi equations. Zbl 1361.35142
Conte, Robert; Grundland, A. Michel
2016
Hayman’s classical conjecture on some nonlinear second-order algebraic ODEs. Zbl 1336.34125
Conte, Robert; Ng, Tuen-Wai; Wu, Cheng-Fa
2015
The master Painlevé VI heat equation. (L’équation maîtresse de la chaleur associée à Painlevé VI.) Zbl 1309.34146
Conte, Robert; Dornic, Ivan
2014
Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation. Zbl 1250.35151
Conte, Robert; Ng, Tuen-Wai; Wong, Kwok-Kin
2012
Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation. Zbl 1333.30041
Conte, Robert; Ng, Tuen-Wai
2012
Detection and construction of an elliptic solution of the complex cubic-quintic Ginzburg-Landau equation. Zbl 1282.35365
Conte, R.; Ng, Tuen-Wai
2012
Meromorphic solutions of a third order nonlinear differential equation. Zbl 1309.34006
Conte, Robert; Ng, Tuen-Wai
2010
Elliptic general analytic solutions. Zbl 1185.35221
Conte, R.; Musette, M.
2009
Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions. Zbl 1159.76041
Conte, R.; Grundland, A. M.; Huard, B.
2009
The Painlevé handbook. Zbl 1153.34002
Conte, Robert M.; Musette, Micheline
2008
Doubly periodic waves of a discrete nonlinear Schrödinger system with saturable nonlinearity. Zbl 1165.39005
Conte, Robert; Chow, K. W.
2008
A closed-form solution in a dynamical system related to Bianchi IX. Zbl 1220.83012
Conte, R.
2008
Painlevé structure of a multi-ion electrodiffusion system. Zbl 1177.82098
Conte, R.; Rogers, C.; Schief, W. K.
2007
On the Lax pairs of the sixth Painlevé equation. Zbl 1120.34335
Conte, Robert
2007
A reduction of the resonant three-wave interaction to the generic sixth Painlevé equation. Zbl 1126.34054
Conte, Robert; Grundland, A. Michel; Musette, Micheline
2006
Analytic doubly periodic wave patterns for the integrable discrete nonlinear Schrödinger (Ablowitz-Ladik) model. Zbl 1195.81048
Chow, K. W.; Conte, Robert; Xu, Neil
2006
On reductions of some KdV-type systems and their link to the quartic Hénon-Heiles Hamiltonian. Zbl 1123.37036
Verhoeven, C.; Musette, M.; Conte, R.
2006
Painlevé property of the Hénon-Heiles Hamiltonians. Zbl 1144.34061
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
2006
Explicit integration of the Hénon-Heiles Hamiltonians. Zbl 1362.37126
Conte, Robert; Musette, Micheline; Verhoeven, Caroline
2005
Completeness of the cubic and quartic Hénon-Heiles hamiltonians. Zbl 1178.37057
Conte, R.; Musette, M.; Verhoeven, C.
2005
Symmetry reductions of a particular set of equations of associativity in two-dimensional topological field theory. Zbl 1069.53060
Conte, Robert; Gandarias, Maria Luz
2005
Solitary waves of nonlinear nonintegrable equations. Zbl 1080.35109
Conte, R.; Musette, M.
2005
Another integrable case in the Lorenz model. Zbl 1049.34003
Yee, Tat-Leung; Conte, Robert
2004
Analytic solitary waves of nonintegrable equations. Zbl 1098.74615
Musette, Micheline; Conte, Robert
2003
Exact solutions of nonlinear partial differential equations by singularity analysis. Zbl 1060.35001
Conte, Robert
2003
General solution for Hamiltonians with extended Cubic and quartic potentials. Zbl 1068.37042
Verhoeven, C.; Musette, M.; Conte, R.
2003
On a “global analytic solution” of a chaotic differential equation of third order. (Sur la “solution analytique générale” d’une équation différentielle chaotique du troisième ordre.) Zbl 1038.37030
Yee, T.-L.; Conte, R.; Musette, M.
2003
Integration of a generalized Hénon-Heiles Hamiltonian. Zbl 1059.37043
Verhoeven, C.; Musette, M.; Conte, R.
2002
New contiguity relation of the sixth Painlevé equation from a truncation. Zbl 0996.34075
Conte, Robert; Musette, Micheline
2002
First-degree birational transformations of the Painlevé equations and their continguity relations. Zbl 0996.34076
Conte, Robert; Musette, Micheline
2001
On the Schlesinger transformations of the sixth Painlevé equation. (Sur les transformations de Schlesinger de la sixième équation de Painlevé.) Zbl 1019.34085
Conte, Robert
2001
Analytic expressions of hydrothermal waves. Zbl 1015.76014
Conte, Robert; Musette, Micheline
2000
On the solitary wave of two coupled nonintegrable Ginzburg-Landau equations. Zbl 0964.35148
Conte, Robert; Musette, Micheline
2000
The Painlevé property. One century later. Zbl 0989.00036
1999
The Painlevé approach to nonlinear ordinary differential equations. Zbl 1034.34103
Conte, Robert
1999
Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II: Tzitzéica equation. Zbl 0946.35086
Conte, Robert; Musette, Micheline; Grundland, A. Michel
1999
Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. I. Kaup-Kupershmidt equation. Zbl 0932.35180
Musette, Micheline; Conte, Robert
1998
On exact solutions of the Bianchi IX cosmological model in the proper time. Zbl 0913.53047
Springael, J.; Conte, R.; Musette, M.
1998
A new method to test discrete Painlevé equations. Zbl 1037.39500
Conte, Robert; Musette, Micheline
1996
A geometrical method towards first integrals for dynamical systems. Zbl 0870.34049
Labrunie, Simon; Conte, Robert
1996
Beyond the two-singular manifold method. Zbl 0941.37549
Conte, R.; Musette, M.
1996
The two-singular manifold method. II: Classical Boussinesq system. Zbl 0856.35113
Conte, R.; Musette, M.; Pickering, A.
1995
Non-Fuchsian extension to the Painlevé test. Zbl 1020.34503
Musette, Micheline; Conte, Robert
1995
Nonintegrability of the Bianchi IX model. Zbl 1194.83022
Latifi, A.; Musette, M.; Conte, R.
1995
The two-singular-manifold method. I: Modified Korteweg-de Vries and sine-Gordon equations. Zbl 0843.35109
Musette, M.; Conte, R.
1994
The Bianchi IX (mixmaster) cosmological model is not integrable. Zbl 0959.83508
Latifi, A.; Musette, M.; Conte, R.
1994
Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation. Zbl 0816.35128
Marcq, Philippe; Chaté, Hugues; Conte, Robert
1994
Factorization of the ‘classical Boussinesq’ system. Zbl 0837.35121
Conte, Robert; Musette, Micheline; Pickering, Andrew
1994
Singularities of differential equations and integrability. Zbl 0948.34065
Conte, Robert
1994
Exact solutions to the partially integrable Eckhaus equation. Zbl 0850.35105
Conte, R.; Musette, M.
1994
A perturbative Painlevé approach to nonlinear differential equations. Zbl 0794.34011
Conte, Robert; Fordy, Allan P.; Pickering, Andrew
1993
Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation. Zbl 0791.35129
Conte, Robert; Musette, Micheline
1993
A perturbative extension of the Painlevé test. Zbl 0786.35111
Conte, R.; Fordy, A. P.; Pickering, A.
1993
Exact solutions to the complex Ginzburg-Landau equation from a linear system. Zbl 0793.35097
Conte, R.; Musette, M.
1993
Link between solitary waves and projective Riccati equations. Zbl 0782.35065
Conte, R.; Musette, M.
1992
Unification of PDE and ODE versions of Painlevé analysis into a single invariant version. Zbl 0856.34010
Conte, Robert
1992
Solitary waves and Lax pairs from polynomial expansions of nonlinear differential equations. Zbl 0941.35518
Musette, Micheline; Conte, Robert
1992
The test of negative integer indices in Painlevé analysis of NLPDE. Zbl 0941.35502
Conte, Robert
1992
Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations. Zbl 0734.35086
Musette, M.; Conte, R.
1991
Painlevé analysis and Bäcklund transformation of the nonintegrable KPP partial differential equation. Zbl 0724.35025
Conte, R.
1990
Painlevé analysis and Bäcklund transformation in the Kuramoto- Sivashinsky equation. Zbl 0687.35087
Conte, Robert; Musette, Micheline
1989
On a labeling for point group harmonics. I: Cubic group. Zbl 0578.20043
Conte, Robert; Raynal, Jacques
1985
Determination of point group harmonics for arbitrary j by a projection method. I: Cubic group, quantization along an axis of order 4. Zbl 0544.20042
Conte, R.; Raynal, Jacques; Soulié, E.
1984
Determination of point group harmonics for arbitrary j by a projection method. III: Cubic group, quantization along a ternary axis. Zbl 0578.20042
Raynal, Jacques; Conte, Robert
1984
all top 5

### Cited by 593 Authors

 32 Conte, Robert Maurice 20 Yuan, Wenjun 16 Musette, Micheline 15 Kudryashov, Nikolaĭ Alekseevich 14 Zhang, Hongqing 13 Rogers, Colin 9 Clarkson, Peter A. 8 Demina, Maria V. 8 Huang, Yong 8 Liu, Hanze 8 Salas, Alvaro H. 7 Qi, Jianming 7 Wang, Qi 7 Wu, Yonghong 6 Gu, Yongyi 6 Ng, Tuen-Wai 6 Shang, Yadong 6 Song, Lina 5 Amster, Pablo 5 Gromak, Valeriĭ Ivanovich 5 Hong, Baojian 5 Leach, Peter Gavin Lawrence 5 Meng, Fanning 5 Pickering, Andrew 5 Wazwaz, Abdul-Majid Abdul-Rahman 4 Bochkarev, Andreĭ Vladimirovich 4 Chen, Qiuhui 4 Gordoa, Pilar Ruiz 4 Grundland, Alfred Michel 4 Kengne, Emmanuel 4 Li, Biao 4 Li, Yezhou 4 Llibre, Jaume 4 Ma, Wen-Xiu 4 Parkes, E. John 4 Pikulin, Sergei Vladimirovich 4 Raynal, Jacques 4 Rui, Weiguo 4 Sottocornola, Nicola 4 Suleĭmanov, Bulat Irekovich 4 Vakhnenko, Vyacheslav O. 4 Valls Anglés, Cláudia 4 Wu, Chengfa 3 Brezhnev, Yurii V. 3 Chen, Junchao 3 Chen, Yong 3 Deconinck, Bernard 3 Frias, Bernardo Acevedo 3 Gandarias Núñez, Maria Luz 3 Gómez S, Cesar A. 3 Goriely, Alain 3 He, Bin 3 Huang, Zifeng 3 Kapitula, Todd M. 3 Li, Zhibin 3 Lin, Jianming 3 Liu, Xiqiang 3 Lu, Dianchen 3 Lü, Xing 3 Ma, Zhengyi 3 Paliathanasis, Andronikos 3 Reyes, Enrique G. 3 Sciacca, Michele 3 Szydłowski, Marek 3 Tian, Bo 3 Vaillancourt, Rémi 3 Verhoeven, Caroline 3 Vitanov, Nikolay K. 3 Wang, Dengshan 3 Winternitz, Pavel 3 Xin, Xiangpeng 3 Yong, Xuelin 3 Zotos, Euaggelos E. 2 Alexeyev, Alexander A. 2 Alurrfi, Khaled A. E. 2 Aminov, G. A. 2 Arthamonov, Semeon 2 Ashok, Sujay K. 2 Ballesteros, Angel 2 Bass, Ludvik 2 Blasco, Alfonso 2 Bracken, Anthony J. 2 Calogero, Francesco A. 2 Chen, Sijia 2 Chiang, Yik-Man 2 Choudhury, Sudipto Roy 2 Christodoulakis, Theodosios 2 Dai, Chaoqing 2 Dehghan Takht Fooladi, Mehdi 2 Domrin, Andrei Victorovich 2 Fei, Jinxi 2 Ferragut, Antoni 2 Filipuk, Galina V. 2 Gomez Sierra, Cesar Augusto 2 Gözükızıl, Ömer Faruk 2 Gündoǧdu, Hami 2 Hereman, Willy A. 2 Herranz, Francisco José 2 Hone, Andrew N. W. 2 Iorgov, Nikolai ...and 493 more Authors
all top 5

### Cited in 140 Serials

 54 Applied Mathematics and Computation 37 Journal of Mathematical Physics 25 Journal of Nonlinear Mathematical Physics 19 Theoretical and Mathematical Physics 19 Communications in Nonlinear Science and Numerical Simulation 17 Physica D 16 Chaos, Solitons and Fractals 10 Physics Letters. A 9 Journal of Mathematical Analysis and Applications 9 Nonlinear Dynamics 7 Computers & Mathematics with Applications 7 Journal of Geometry and Physics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Studies in Applied Mathematics 7 Abstract and Applied Analysis 7 Advances in Difference Equations 7 Advances in Mathematical Physics 6 Mathematical Methods in the Applied Sciences 5 International Journal of Modern Physics B 5 Applied Mathematics Letters 5 Mathematical Problems in Engineering 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Computer Physics Communications 4 International Journal of Theoretical Physics 4 Physica A 4 Computational Mathematics and Mathematical Physics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Differential Equations 4 International Journal of Geometric Methods in Modern Physics 3 General Relativity and Gravitation 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Acta Applicandae Mathematicae 3 Constructive Approximation 3 Mathematical and Computer Modelling 3 Regular and Chaotic Dynamics 3 International Journal of Modern Physics C 3 Nonlinear Analysis. Real World Applications 3 Journal of Physics A: Mathematical and Theoretical 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Journal of Function Spaces 3 International Journal of Applied and Computational Mathematics 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Letters in Mathematical Physics 2 Nonlinearity 2 Nuclear Physics. B 2 Demonstratio Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Meccanica 2 Proceedings of the American Mathematical Society 2 Annals of Physics 2 Journal of Nonlinear Science 2 Complexity 2 Discrete Dynamics in Nature and Society 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Mathematical Physics 1 International Journal of Modern Physics A 1 Acta Mechanica 1 Classical and Quantum Gravity 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Physics Reports 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Wave Motion 1 Arkiv för Matematik 1 Prikladnaya Matematika i Mekhanika 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Programming and Computer Software 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Ricerche di Matematica 1 Theoretical Computer Science 1 Transactions of the Moscow Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of the Egyptian Mathematical Society 1 Georgian Mathematical Journal 1 Fractals 1 Bulletin des Sciences Mathématiques ...and 40 more Serials
all top 5

### Cited in 41 Fields

 275 Partial differential equations (35-XX) 158 Dynamical systems and ergodic theory (37-XX) 140 Ordinary differential equations (34-XX) 44 Numerical analysis (65-XX) 31 Quantum theory (81-XX) 28 Mechanics of particles and systems (70-XX) 26 Functions of a complex variable (30-XX) 26 Fluid mechanics (76-XX) 19 Relativity and gravitational theory (83-XX) 16 Special functions (33-XX) 16 Computer science (68-XX) 15 Optics, electromagnetic theory (78-XX) 14 Difference and functional equations (39-XX) 12 Differential geometry (53-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Algebraic geometry (14-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 5 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 5 Real functions (26-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Integral equations (45-XX) 4 Nonassociative rings and algebras (17-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX)