# zbMATH — the first resource for mathematics

## Cooper, Fred

Compute Distance To:
 Author ID: cooper.fred Published as: Cooper, F.; Cooper, Fred
 Documents Indexed: 26 Publications since 1980, including 1 Book
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#### Co-Authors

 0 single-authored 9 Khare, Avinash 7 Dawson, John F. 6 Saxena, Avadh Behari 4 Shepard, Harvey 3 Bender, Carl M. 3 Mertens, Franz G. 3 Mihaila, Bogdan 3 Quintero, Niurka R. 3 Sodano, Pasquale 2 Arévalo, Edward 2 Chodos, Alan 2 Comech, Andrew 2 Savage, Van M. 2 Shao, Sihong 2 Simmons, L. M. jun. 2 Sukhatme, Uday P. 1 Accetta, Frank S. 1 Bishop, Alan Reginald 1 Chien, Chih-Chun 1 Guralnik, Gerald S. 1 Habib, Salman 1 Kilcup, Greg 1 Kluger, Yuval 1 Lan, Ruomeng 1 Lucheroni, Carlo 1 Meisinger, Peter N. 1 Meredith, Dawn C. 1 Mjolsness, Eric 1 Mottola, Emil 1 Musto, Renato 1 Nayak, Gouranga C. 1 Rose, Harvey A. 1 Roy, Pinaki 1 Shao, Bin 1 Sharp, David H. 1 She, Jian-Huang 1 Trombettoni, Andrea 1 Venturi, Giovanni 1 Wipf, Andreas W.
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#### Serials

 6 Journal of Physics A: Mathematical and Theoretical 4 Physics Letters. A 3 Physica D 3 Annals of Physics 3 Physical Review D. Series III 2 Physics Letters. B 1 Journal of Statistical Physics 1 Advances in Applied Mathematics 1 Journal of Physics A: Mathematical and General
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#### Fields

 18 Quantum theory (81-XX) 14 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

20 Publications have been cited 276 times in 271 Documents Cited by Year
Supersymmetry in quantum mechanics. Zbl 0988.81001
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2001
Solitons in the Camassa-Holm shallow water equation. Zbl 0961.76512
Cooper, Fred; Shepard, Harvey
1994
Variational ansatz for PT-symmetric quantum mechanics. Zbl 0948.81536
Bender, Carl M.; Cooper, Fred; Meisinger, Peter N.; Savage, Van M.
1999
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
1988
Cosmology and broken scale invariance. Zbl 1267.83112
Cooper, Fred; Venturi, Giovanni
1981
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734
Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh
2016
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2002
Post-Gaussian variational method for the nonlinear Schrödinger equation: Soliton behavior and blowup. Zbl 0807.35133
Cooper, Fred; Shepard, Harvey; Lucheroni, Carlo; Sodano, Pasquale
1993
Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2018
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, Avinash; Cooper, Fred; Saxena, Avadh
2017
$$\mathrm{O}(N)$$ symmetric extension of the sine-Gordon equation. Zbl 1244.81038
Cooper, Fred; Sodano, Pasquale; Trombettoni, Andrea; Chodos, Alan
2003
SUSY-based variational method for the anharmonic oscillator. Zbl 0941.81526
Cooper, Fred; Dawson, John; Shepard, Harvey
1994
A novel approach to the solution of boundary-layer problems. Zbl 0461.76024
Bender, Carl M.; Cooper, Fred; Guralnik, G. S.; Mjolsness, Eric; Rose, Harvey A.; Sharp, David H.
1980
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Zbl 1384.35118
Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh
2017
Auxiliary field loop expansion of the effective action for a class of stochastic partial differential equations. Zbl 1342.35460
Cooper, Fred; Dawson, John F.
2016
Mean-field description of pairing effects, BKT physics, and superfluidity in 2D Bose gases. Zbl 1342.82152
Chien, Chih-Chun; She, Jian-Huang; Cooper, Fred
2014
Minijet initial conditions for non-equilibrium parton evolution at RHIC and LHC. Zbl 1008.81515
Cooper, Fred; Mottola, Emil; Nayak, Gouranga C.
2003
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
2001
Novel perturbation expansion for the Langevin equation. Zbl 0943.82565
Bender, Carl; Cooper, Fred; Simmons, L. M. jun.; Roy, Pinaki; Kilcup, Greg
1991
Properties of the wormhole calculus. Zbl 1332.83041
Accetta, Frank S.; Chodos, Alan; Cooper, Fred; Shao, Bin
1989
Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2018
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, Avinash; Cooper, Fred; Saxena, Avadh
2017
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Zbl 1384.35118
Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh
2017
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734
Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh
2016
Auxiliary field loop expansion of the effective action for a class of stochastic partial differential equations. Zbl 1342.35460
Cooper, Fred; Dawson, John F.
2016
Mean-field description of pairing effects, BKT physics, and superfluidity in 2D Bose gases. Zbl 1342.82152
Chien, Chih-Chun; She, Jian-Huang; Cooper, Fred
2014
$$\mathrm{O}(N)$$ symmetric extension of the sine-Gordon equation. Zbl 1244.81038
Cooper, Fred; Sodano, Pasquale; Trombettoni, Andrea; Chodos, Alan
2003
Minijet initial conditions for non-equilibrium parton evolution at RHIC and LHC. Zbl 1008.81515
Cooper, Fred; Mottola, Emil; Nayak, Gouranga C.
2003
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2002
Supersymmetry in quantum mechanics. Zbl 0988.81001
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
2001
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
2001
Variational ansatz for PT-symmetric quantum mechanics. Zbl 0948.81536
Bender, Carl M.; Cooper, Fred; Meisinger, Peter N.; Savage, Van M.
1999
Solitons in the Camassa-Holm shallow water equation. Zbl 0961.76512
Cooper, Fred; Shepard, Harvey
1994
SUSY-based variational method for the anharmonic oscillator. Zbl 0941.81526
Cooper, Fred; Dawson, John; Shepard, Harvey
1994
Post-Gaussian variational method for the nonlinear Schrödinger equation: Soliton behavior and blowup. Zbl 0807.35133
Cooper, Fred; Shepard, Harvey; Lucheroni, Carlo; Sodano, Pasquale
1993
Novel perturbation expansion for the Langevin equation. Zbl 0943.82565
Bender, Carl; Cooper, Fred; Simmons, L. M. jun.; Roy, Pinaki; Kilcup, Greg
1991
Properties of the wormhole calculus. Zbl 1332.83041
Accetta, Frank S.; Chodos, Alan; Cooper, Fred; Shao, Bin
1989
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
1988
Cosmology and broken scale invariance. Zbl 1267.83112
Cooper, Fred; Venturi, Giovanni
1981
A novel approach to the solution of boundary-layer problems. Zbl 0461.76024
Bender, Carl M.; Cooper, Fred; Guralnik, G. S.; Mjolsness, Eric; Rose, Harvey A.; Sharp, David H.
1980
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#### Cited by 473 Authors

 9 Khare, Avinash 8 Grandati, Yves 8 Liu, Zhengrong 8 Rosu, Haret C. 7 Roy, Pinaki 6 Gangopadhyaya, Asim 6 Rasinariu, Constantin 5 Ahmadov, A. I. 5 Bagarello, Fabio 5 Bougie, Jonathan 5 Mallow, Jeffry V. 5 Mandal, Bhabani Prasad 4 Bender, Carl M. 4 Constantin, Adrian 4 Cooper, Fred 4 Khmelnytskaya, Kira V. 4 Schulze-Halberg, Axel 4 Yadav, Rajesh Kumar 4 Yeşiltaş, Özlem 3 Aktaş, Metin 3 Assi, Ibsal A. 3 Bagchi, Bijan Kumar 3 Bahlouli, Hocine 3 Comech, Andrew 3 Dawson, John F. 3 Escher, Joachim 3 Fernández C., David J. 3 Geng, Xianguo 3 Guo, Boling 3 Hounkonnou, Mahouton Norbert 3 Kamenshchik, Aleksandr Yur’evich 3 Kapoor, A. K. 3 Kumari, Nisha 3 Nagiyev, Shakir M. 3 Negro, Javier 3 Plyushchay, Mikhail S. 3 Qian, Tifei 3 Ranjani, S. Sree 3 Rosas-Ortiz, Oscar 3 Samsonov, Boris F. 3 Sever, Ramazan 3 Shalaby, Abouzeid M. 3 Tarverdiyeva, V. A. 3 Tian, Lixin 2 Alhaidari, Abdulaziz D. 2 Bérard, Alain 2 Chen, Liqun 2 Chen, Pisin 2 Clarkson, Peter A. 2 Comtet, Alain 2 Contreras-Astorga, Alonso 2 Dereziński, Jan 2 Drigo Filho, Elso 2 Dutta, Debasmita 2 Fakhri, Hossein 2 Gao, Hongjun 2 Gómez-Ullate, David 2 Govaerts, Jan 2 Hassanabadi, Hassan 2 He, Bin 2 Huo, Xuwen 2 Jain, Pankaj 2 Kumar, C. Nagaraja 2 Kuru, Şengül 2 Lakoba, Taras I. 2 Liu, Rui 2 Mancas, Stefan C. 2 Milson, Robert 2 Mitra, Subhadip 2 Mota, Roberto D. 2 Panigrahi, Prasanta K. 2 Priestley, Thomas J. 2 Qocayeva, M. V. 2 Qu, Chaochun 2 Quintero, Niurka R. 2 Sandhya, R. 2 Saxena, Avadh Behari 2 Shemyakova, Ekaterina 2 Sukhatme, Uday P. 2 Tanaka, Toshiaki 2 Tang, Minying 2 Texier, Christophe 2 Tourigny, Yves 2 Trombettoni, Andrea 2 Xue, Bo 2 Yang, Jiaopeng 2 Zarrinkamar, Saber 2 Zhang, Lijun 1 Abbasi, Neda 1 Acosta Humánez, Primitivo Belén 1 Aguirre, Alexis Roa 1 Al-Hashimi, M. H. 1 Alexander, Stephon H. S. 1 Alijani, Zahra 1 Aluri, Pavan Kumar 1 Amir, Naila 1 Anjos, Rita C. 1 Ares de Parga-Regalado, A. M. 1 Asghari, Mehran 1 Aslanova, S. M. ...and 373 more Authors
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#### Cited in 75 Serials

 39 Physics Letters. A 28 Journal of Mathematical Physics 28 Annals of Physics 16 Journal of High Energy Physics 10 International Journal of Theoretical Physics 9 Chaos, Solitons and Fractals 8 Journal of Mathematical Chemistry 7 Modern Physics Letters A 7 Journal of Physics A: Mathematical and Theoretical 6 Nuclear Physics. B 5 International Journal of Modern Physics A 5 Physics Letters. B 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Advances in High Energy Physics 4 Applied Mathematics and Computation 3 General Relativity and Gravitation 3 Journal of Statistical Physics 3 Physics Reports 3 Journal of Nonlinear Mathematical Physics 3 Nonlinear Analysis. Real World Applications 3 Foundations of Physics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Symmetry 2 International Journal of Modern Physics B 2 Journal of Mathematical Analysis and Applications 2 Theoretical and Mathematical Physics 2 Applied Mathematics Letters 2 International Journal of Modern Physics D 2 Chaos 2 Annales Henri Poincaré 2 Czechoslovak Journal of Physics 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Wave Motion 1 Acta Mathematica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Celestial Mechanics and Dynamical Astronomy 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Living Reviews in Relativity 1 The European Physical Journal C. Particles and Fields 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 International Journal of Quantum Chemistry 1 Analysis and Mathematical Physics 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Mathematical Physics 1 International Journal of Analysis 1 Mathematics
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#### Cited in 38 Fields

 185 Quantum theory (81-XX) 80 Partial differential equations (35-XX) 26 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Special functions (33-XX) 21 Relativity and gravitational theory (83-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Fluid mechanics (76-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 6 Operator theory (47-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Numerical analysis (65-XX) 5 Astronomy and astrophysics (85-XX) 4 Nonassociative rings and algebras (17-XX) 4 Statistics (62-XX) 4 Optics, electromagnetic theory (78-XX) 4 Information and communication theory, circuits (94-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX)