## Journal of Mathematical Physics

 Short Title: J. Math. Phys. Publisher: AIP Publishing, Melville, NY; American Institute of Physics (AIP), College Park, MD ISSN: 0022-2488; 1089-7658/e Online: https://aip.scitation.org/toc/jmp/current Comments: Indexed cover-to-cover
 Documents Indexed: 19,589 Publications (since 1960) References Indexed: 19,413 Publications with 395,883 References.
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### Authors

 89 Winternitz, Pavel 73 Patera, Jiří 60 Miller, Willard jun. 59 Calogero, Francesco A. 55 Kalnins, Ernest G. 48 Van der Jeugt, Joris 47 Newman, Ezra Ted 40 Gould, Mark D. 40 Leach, Peter Gavin Lawrence 39 Sharp, Robert T. 35 Guo, Boling 34 Horwitz, Lawrence Paul 34 Lakshmanan, Muthusamy 34 Llibre, Jaume 33 Bender, Carl M. 33 Exner, Pavel 33 Mukunda, Narasimhaiengar 32 Klauder, John Rider 31 Majid, Shahn 31 Quesne, Christiane 31 Rañada, Manuel F. 31 Wolf, Kurt Bernardo 30 Bagarello, Fabio 28 Dirl, Rainer 28 Gudder, Stanley P. 28 Rowe, David J. 28 Vinet, Luc 27 Aktosun, Tuncay 27 del Olmo, Mariano A. 27 Harnad, John 27 Plebański, Jerzy Franciszek 27 Torres del Castillo, Gerardo Francisco 27 Vanden Berghe, Guido 26 Albeverio, Sergio A. 26 Cariñena, José F. 26 de León Rodríguez, Manuel 26 Grammaticos, Basil 26 Moses, Harry E. 26 Ramani, Alfred 25 Biedenharn, Lawrence C. jun. 25 De Meyer, Hans E. 25 Grundland, Alfred Michel 25 Klimyk, Anatoliy Ul’yanovich 25 Zhang, Ruibin 25 Zhang, Yaozhong 24 Ha, Seung-Yeal 24 Ma, Wen-Xiu 24 Moshinsky, Marcos 24 Mostafazadeh, Ali 24 Ramm, Alexander G. 24 Santander, Mariano 23 Ali, Syed Twareque 23 Fokas, Athanassios S. 23 Hall, Richard L. 22 Ablowitz, Mark Jay 22 Glass, Edward N. 22 Gruber, Bruno J. 22 Hounkonnou, Mahouton Norbert 22 Jørgensen, Palle E. T. 22 Schulze-Halberg, Axel 21 Dehesa, Jesús S. 21 Geroch, Robert 21 Lou, Senyue 21 McLenaghan, Raymond G. 21 Sasaki, Ryu 21 Turgut, Osman Teoman 21 Zakrzewski, Wojciech J. 20 Coley, Alan Albert 20 Cornille, Henri 20 Gazeau, Jean-Pierre 20 Khare, Avinash 20 Klaus, Martin 20 Marquette, Ian 20 Okubo, Susumu 20 Palev, Tchavdar D. 20 Senthilvelan, Murugaian 20 Trapani, Camillo 20 Van der Mee, Cornelis Victor Maria 20 Werner, Reinhard F. 20 Weston, Vaughan H. 20 Wu, Tai Tsun 19 Arai, Asao 19 Datta, Nilanjana 19 Geng, Xianguo 19 Hussin, Véronique 19 Khrennikov, Andreĭ Yur’evich 19 Krisch, Jean P. 19 Newton, Roger G. 19 Sardanashvily, Gennadi A. 19 Skrypnyk, Taras Volodymyrovych 19 Toppan, Francesco 18 Balantekin, A. Baha 18 Bluman, George W. 18 de Azcárraga, José A. 18 Fernández, Francisco Marcelo 18 Hall, Graham S. 18 Hou, Boyu 18 Iwai, Toshihiro 18 Lahti, Pekka Johannes 18 Odake, Satoru ...and 15,866 more Authors
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### Fields

 8,276 Quantum theory (81-XX) 4,098 Partial differential equations (35-XX) 2,335 Relativity and gravitational theory (83-XX) 2,108 Differential geometry (53-XX) 1,999 Dynamical systems and ergodic theory (37-XX) 1,887 Statistical mechanics, structure of matter (82-XX) 1,682 Nonassociative rings and algebras (17-XX) 1,514 Mechanics of particles and systems (70-XX) 1,415 Global analysis, analysis on manifolds (58-XX) 1,292 Fluid mechanics (76-XX) 1,227 Topological groups, Lie groups (22-XX) 1,102 Functional analysis (46-XX) 1,079 Operator theory (47-XX) 943 Ordinary differential equations (34-XX) 879 Probability theory and stochastic processes (60-XX) 781 Special functions (33-XX) 644 Optics, electromagnetic theory (78-XX) 435 Linear and multilinear algebra; matrix theory (15-XX) 434 Group theory and generalizations (20-XX) 356 Information and communication theory, circuits (94-XX) 319 Algebraic geometry (14-XX) 254 Mechanics of deformable solids (74-XX) 249 Associative rings and algebras (16-XX) 235 Numerical analysis (65-XX) 218 Manifolds and cell complexes (57-XX) 208 Difference and functional equations (39-XX) 206 Combinatorics (05-XX) 205 Integral equations (45-XX) 203 Calculus of variations and optimal control; optimization (49-XX) 198 Harmonic analysis on Euclidean spaces (42-XX) 187 Number theory (11-XX) 165 Functions of a complex variable (30-XX) 141 Several complex variables and analytic spaces (32-XX) 121 Algebraic topology (55-XX) 120 Classical thermodynamics, heat transfer (80-XX) 117 Real functions (26-XX) 111 Statistics (62-XX) 104 Approximations and expansions (41-XX) 101 Integral transforms, operational calculus (44-XX) 101 Astronomy and astrophysics (85-XX) 94 Measure and integration (28-XX) 92 Biology and other natural sciences (92-XX) 85 Category theory; homological algebra (18-XX) 77 Abstract harmonic analysis (43-XX) 74 Mathematical logic and foundations (03-XX) 69 Computer science (68-XX) 64 Systems theory; control (93-XX) 55 Geophysics (86-XX) 52 Geometry (51-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 47 Convex and discrete geometry (52-XX) 46 Potential theory (31-XX) 44 General topology (54-XX) 43 Sequences, series, summability (40-XX) 33 $$K$$-theory (19-XX) 25 General and overarching topics; collections (00-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Field theory and polynomials (12-XX) 17 Commutative algebra (13-XX) 14 Operations research, mathematical programming (90-XX) 12 History and biography (01-XX) 6 General algebraic systems (08-XX)

### Citations contained in zbMATH Open

15,499 Publications have been cited 128,360 times in 72,217 Documents Cited by Year
The Painlevé property for partial differential equations. Zbl 0514.35083
Weiss, John; Tabor, M.; Carnevale, George
1983
The world as a hologram. Zbl 0850.00013
Susskind, Leonard
1995
A simple model of the integrable Hamiltonian equation. Zbl 0383.35065
Magri, Franco
1978
An approach to gravitational radiation by a method of spin coefficients. Zbl 0108.40905
Newman, E.; Penrose, Roger
1963
Painless nonorthogonal expansions. Zbl 0608.46014
Daubechies, Ingrid; Grossmann, A.; Meyer, Y.
1986
The Einstein tensor and its generalizations. Zbl 0213.48801
Lovelock, D.
1971
The inverse scattering transform: Semi-infinite interval. Zbl 0299.35076
Ablowitz, M. J.; Segur, H.
1975
Fractional diffusion and wave equations. Zbl 0692.45004
Schneider, W. R.; Wyss, W.
1989
An algebraic approach to quantum field theory. Zbl 0139.46003
Haag, Rudolf; Kastler, D.
1964
On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations. Zbl 0372.35009
Glassey, R. T.
1977
An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015
Kaup, David J.; Newell, Alan C.
1978
New similarity reductions of the Boussinesq equation. Zbl 0698.35137
Clarkson, Peter A.; Kruskal, Martin D.
1989
Statistical theory of the energy levels of complex systems. I-III. Zbl 0105.41604
Dyson, Freeman J.
1962
Korteweg-de Vries equation and generalizations. II: Existence of conservation laws and constants of motion. Zbl 0283.35019
Miura, Robert M.; Gardner, Clifford S.; Kruskal, Martin D.
1968
Random walks on lattices. II. Zbl 1342.60067
Montroll, Elliott W.; Weiss, George H.
1965
Lorentz invariance and the gravitational field. Zbl 0095.22903
Kibble, T. W. B.
1961
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. Zbl 0678.70015
Tu, Guizhang
1989
A connection between nonlinear evolution equations and ordinary differential equations of P-type. I. Zbl 0445.35056
Ablowitz, M. J.; Ramani, A.; Segur, H.
1980
Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052
Hirota, Ryogo
1973
A Brownian-motion model for the eigenvalues of a random matrix. Zbl 0111.32703
Dyson, F. J.
1962
Ground state solutions for nonlinear fractional Schrödinger equations in $$\mathbb{R}^N$$. Zbl 1281.81034
Secchi, Simone
2013
Nonlinear differential-difference equations. Zbl 0296.34062
1975
Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101
Lax, P. D.
1964
The fractional diffusion equation. Zbl 0632.35031
Wyss, Walter
1986
Korteweg-de Vries equation and generalizations. I: A remarkable explicit nonlinear transformation. Zbl 0283.35018
Miura, Robert M.
1968
Statistical ensembles of complex, quaternion, and real matrices. Zbl 0127.39304
Ginibre, J.
1965
Time-dependent statistics of the Ising model. Zbl 0145.24003
Glauber, R. J.
1963
Evolution equations possessing infinitely many symmetries. Zbl 0348.35024
Olver, Peter J.
1977
Nonlinear differential-difference equations and Fourier analysis. Zbl 0322.42014
Ablowitz, M. J.; Ladik, J. F.
1976
Feynman integrals and the Schrödinger equation. Zbl 0133.22905
Nelson, E.
1964
The planar approximation. II. Zbl 0997.81549
Itzykson, C.; Zuber, J. B.
1980
Brownian motion of a quantum oscillator. Zbl 0098.43503
Schwinger, Julian
1961
The noncommutative geometry of the quantum Hall effect. Zbl 0824.46086
Bellissard, J.; van Elst, A.; Schulz-Baldes, H.
1994
Matrix models for beta ensembles. Zbl 1060.82020
Dumitriu, Ioana; Edelman, Alan
2002
Twistor algebra. Zbl 0163.22602
Penrose, Roger
1967
Korteweg-de Vries equation and generalizations. III: Derivation of the Korteweg-de Vries equation and Burgers’ equation. Zbl 0283.35020
Su, C.-H.; Gardner, Clifford S.
1969
Domain of dependence. Zbl 0189.27602
Geroch, Robert
1970
Prolongation structures of nonlinear evolution equations. Zbl 0298.35012
Wahlquist, H. D.; Estabrook, F. B.
1975
Local symmetries and constraints. Zbl 0704.70013
Lee, Joohan; Wald, Robert M.
1990
The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative. Zbl 0531.35069
Weiss, John
1983
Symmetric informationally complete quantum measurements. Zbl 1071.81015
Renes, Joseph M.; Blume-Kohout, Robin; Scott, A. J.; Caves, Carlton M.
2004
Invariants of real low dimension Lie algebras. Zbl 0357.17004
Patera, J.; Sharp, R. T.; Winternitz, P.; Zassenhaus, Hans
1976
Pseudo-Hermiticity versus $$PT$$ symmetry: the necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. Zbl 1059.81070
2002
Strings in $$\text{AdS}_ 3$$ and the $$\text{SL}(2,\mathbb{R})$$ WZW model. I: The spectrum. Zbl 1036.81033
Maldacena, Juan; Ooguri, Hirosi
2001
Exponential operators and parameter differentiation in quantum physics. Zbl 0173.29604
Wilcox, R. M.
1967
On the duality condition for a Hermitian scalar field. Zbl 0316.46062
Bisognano, Joseph J.; Wichmann, Eyvind H.
1975
Empty-space generalization of the Schwarzschild metric. Zbl 0115.43305
Newman, E.; Tamburino, L.; Unti, T.
1963
Noncommutative geometry and reality. Zbl 0871.58008
Connes, Alain
1995
Time fractional Schrödinger equation. Zbl 1071.81035
Naber, Mark
2004
Thermodynamics of a one -dimensional system of bosons with repulsive delta-function interaction. Zbl 0987.82503
Yang, C. N.; Yang, C. P.
1969
Two-dimensional lumps in nonlinear dispersive systems. Zbl 0422.35014
Satsuma, J.; Ablowitz, M. J.
1979
A global theory of supermanifolds. Zbl 0447.58003
Rogers, Alice
1980
An exact prediction of $${\mathcal N}=4$$ supersymmetric Yang-Mills theory for string theory. Zbl 1036.81041
2001
Maximal analytic extension of the Kerr metric. Zbl 0149.23503
Boyer, R. H.; Lindquist, R. W.
1967
$$\mathcal P\mathcal T$$-symmetric quantum mechanics. Zbl 1057.81512
Bender, Carl M.; Boettcher, Stefan; Meisinger, Peter N.
1999
Evolution theorem for a class of perturbed envelope soliton solutions. Zbl 0548.35101
Laedke, E. W.; Spatschek, K. H.; Stenflo, L.
1983
Multiple condensate solutions for the Chern-Simons-Higgs theory. Zbl 0863.58081
Tarantello, Gabriella
1996
Korteweg-de Vries equation and generalizations. IV: The Korteweg-de Vries equation as a Hamiltonian system. Zbl 0283.35021
Gardner, Clifford
1971
A new integrable equation with cuspons and W/M-shape-peaks solitons. Zbl 1112.37063
Qiao, Zhijun
2006
Spinor structure of space-times in general relativity. I. Zbl 0165.29402
Geroch, Robert
1968
Hilbert spaces of analytic functions and generalized coherent states. Zbl 0941.81549
Arik, M.; Coon, D. D.
1976
On the representation of the semisimple Lie groups. II, III: The explicit conjugation operation for $$\mathrm{SU}_n$$. IV: A canonical classification for tensor operators in $$\mathrm{SU}_3$$. Zbl 0132.44302
Baird, G. E.; Biedenharn, L. C.
1964
Generalized Lie algebras. Zbl 0423.17003
Scheunert, M.
1979
Lie algebraic solution of linear differential equations. Zbl 0133.34202
Wei, James; Norman, Edward
1963
The Camassa-Holm equation as a geodesic flow on the diffeomorphism group. Zbl 0958.37060
Kouranbaeva, Shinar
1999
A search for bilinear equations passing Hirota’s three-soliton condition. I: KdV-type bilinear equations. Zbl 0641.35073
Hietarinta, Jarmo
1987
Transforms associated to square integrable group representations. I: General results. Zbl 0571.22021
Grossmann, A.; Morlet, J.; Paul, T.
1985
A method for generating solutions of Einstein’s equations. Zbl 0214.49002
Geroch, Robert
1971
Linear canonical transformations and their unitary representations. Zbl 0247.20051
Moshinsky, M.; Quesne, C.
1971
Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008
Hirota, Ryogo
1973
Possible kinematics. Zbl 0162.58606
Bacry, Henri; Lévy-Leblond, Jean-Marc
1968
Contraction of Lie groups. Zbl 0098.25804
Saletan, Eugene J.
1961
Singularities and discontinuities of Feynman amplitudes. Zbl 0122.22605
Cutkosky, R. E.
1960
On quantum Rényi entropies: a new generalization and some properties. Zbl 1290.81016
Müller-Lennert, Martin; Dupuis, Frédéric; Szehr, Oleg; Fehr, Serge; Tomamichel, Marco
2013
On integrability of the Yang-Baxter $$\sigma$$-model. Zbl 1215.81099
2009
Presymplectic manifolds and the Dirac-Bergmann theory of constraints. Zbl 0418.58010
Gotay, Mark J.; Nester, James M.; Hinds, George
1978
Subalgebras of real three- and four-dimensional Lie algebras. Zbl 0412.17007
Patera, J.; Winternitz, P.
1977
A space-time calculus based on pairs of null directions. Zbl 0875.53014
Geroch, R.; Held, A.; Penrose, Roger
1973
Strongly interacting bumps for the Schrödinger-Newton equations. Zbl 1189.81061
Wei, Juncheng; Winter, Matthias
2009
Type D vacuum metrics. Zbl 0182.30202
Kinnersley, William
1969
Spin-$$s$$ spherical harmonics and $$\eth$$. Zbl 0155.57402
Goldberg, J. N.; Macfarlane, A. J.; Newman, E. T.; Rohrlich, F.; Sudarshan, E. C. G.
1967
Rigorous treatment of the van der Waals-Maxwell theory of the liquid-vapor transition. Zbl 0938.82520
Lebowitz, J. L.; Penrose, O.
1966
Solitons and rational solutions of nonlinear evolution equations. Zbl 0418.35022
Ablowitz, M. J.; Satsuma, J.
1978
Higher-dimensional algebra and topological quantum field theory. Zbl 0863.18004
Baez, John C.; Dolan, James
1995
First order analytic difference equations and integrable quantum systems. Zbl 0877.39002
Ruijsenaars, S. N. M.
1997
Causality implies the Lorentz group. Zbl 0133.23205
Zeeman, E. C.
1964
Curvature collineations: A fundamental symmetry property of the space- times of general relativity defined by the vanishing Lie derivative of the Riemann curvature tensor. Zbl 0176.19402
Katzin, Gerald H.; Levine, Jack; Davis, William R.
1969
Supersymmetric extension of the Korteweg-de Vries equation. Zbl 0665.35076
Mathieu, Pierre
1988
The threefold way. Algebraic structure of symmetry groups and ensembles in quantum mechanics. Zbl 0134.45703
Dyson, F. J.
1962
Note on the Kerr spinning-particle metric. Zbl 0142.46305
Newman, E. T.; Janis, A. I.
1965
Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605
Ford, G.; Kac, M.; Mazur, Peter
1965
Some physical applications of fractional Schrödinger equation. Zbl 1112.81028
Guo, Xiaoyi; Xu, Mingyu
2006
Superstrings and topological strings at large $$N$$. Zbl 1060.81594
Vafa, Cumrun
2001
A new perturbative approach to nonlinear problems. Zbl 0684.34008
Bender, C. M.; Milton, Kimball A.; Pinsky, Stephen S.; Simmons, L. M. jun.
1989
Integration in functional spaces and its applications in quantum physics. Zbl 0092.45105
Gel’fand, I. M.; Yaglom, A. M.
1960
Semidirect sums of Lie algebras and discrete integrable couplings. Zbl 1111.37059
Ma, Wen-Xiu; Xu, Xi-Xiang; Zhang, Yufeng
2006
Navier-Stokes equations with regularity in one direction. Zbl 1144.81373
Kukavica, Igor; Ziane, Mohammed
2007
Existence and uniqueness theorems for the neutron transport equation. Zbl 0132.44902
Case, K. M.; Zweifel, P. F.
1963
New classes of symmetries for partial differential equations. Zbl 0669.58037
Bluman, George W.; Reid, Gregory J.; Kumei, Sukeyuki
1988
Bound state for the fractional Schrödinger equation with unbounded potential. Zbl 1275.81030
Cheng, Ming
2012
Global solutions to the $$n$$-dimensional incompressible Oldroyd-B model without damping mechanism. Zbl 1460.76032
Zhai, Xiaoping
2021
Emergent behaviors of Cucker-Smale flocks on the hyperboloid. Zbl 1479.82041
Ahn, Hyunjin; Ha, Seung-Yeal; Park, Hansol; Shim, Woojoo
2021
Bilinear expansions of lattices of KP $$\tau$$-functions in BKP $$\tau$$-functions: a fermionic approach. Zbl 1456.81304
2021
Stabilization of swelling porous elastic soils with fluid saturation and delay time terms. Zbl 1460.74063
Ramos, A. J. A.; Almeida Júnior, D. S.; Freitas, M. M.; Noé, A. S.; Santos, M. J. Dos
2021
Polynomial tau-functions of the KP, BKP, and the $$s$$-component KP hierarchies. Zbl 1464.37073
Kac, Victor G.; Rozhkovskaya, Natasha; van de Leur, Johan
2021
Extended $$\bigvee$$-systems and trigonometric solutions to the WDVV equations. Zbl 1464.37074
Stedman, Richard; Strachan, Ian A. B.
2021
Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three. Zbl 1461.81029
Deng, Yu; Nahmod, Andrea R.; Yue, Haitian
2021
Perfect fluid spacetimes and Yamabe solitons. Zbl 1464.83024
De, U. C.; Chaubey, S. K.; Shenawy, S.
2021
Non-asymptotic behavior of the spectrum of the sinc-kernel operator and related applications. Zbl 1461.81040
Bonami, Aline; Jaming, Philippe; Karoui, Abderrazek
2021
A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime. Zbl 1466.82005
Babenko, Constantin; Göhmann, Frank; Kozlowski, Karol K.; Suzuki, Junji
2021
Twisted cohomotopy implies twisted string structure on M5-branes. Zbl 1462.81155
Fiorenza, Domenico; Sati, Hisham; Schreiber, Urs
2021
Another proof of BEC in the GP-limit. Zbl 1467.82090
Hainzl, Christian
2021
Scattering theory for Dirac fields inside a Reissner-Nordström-type black hole. Zbl 1472.81103
2021
Rational indices for quantum ground state sectors. Zbl 1456.81478
Bachmann, Sven; Bols, Alex; De Roeck, Wojciech; Fraas, Martin
2021
Sklyanin-like algebras for $$(q$$-)linear grids and $$(q$$-)para-Krawtchouk polynomials. Zbl 1456.81265
Bergeron, Geoffroy; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei
2021
Global aspects of doubled geometry and pre-rackoid. Zbl 1461.81097
Ikeda, Noriaki; Sasaki, Shin
2021
Hessian metric via transport information geometry. Zbl 1469.53025
Li, Wuchen
2021
Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in $$\mathbb{R}^3$$. Zbl 1462.81216
Chong, Jacky
2021
Double field theory algebroid and curved $$L_\infty$$-algebras. Zbl 1465.81063
Grewcoe, Clay James; Jonke, Larisa
2021
Intermittency of Riemann’s non-differentiable function through the fourth-order flatness. Zbl 07406093
Boritchev, Alexandre; Eceizabarrena, Daniel; Da Rocha, Victor Vilaça
2021
Isotropic Grassmannians, Plücker and Cartan maps. Zbl 1464.37070
Balogh, F.; Harnad, J.; Hurtubise, J.
2021
So(9) characterization of the standard model gauge group. Zbl 1459.81127
Krasnov, Kirill
2021
Quantum algorithmic randomness. Zbl 1459.81029
Bhojraj, Tejas
2021
Positive maps and trace polynomials from the symmetric group. Zbl 1459.81023
Huber, Felix
2021
Energy conservation for the nonhomogeneous incompressible ideal Hall-MHD equations. Zbl 1461.76555
Kang, Lingping; Deng, Xuemei; Bie, Qunyi
2021
Least energy sign-changing solutions for a class of Schrödinger-Poisson system on bounded domains. Zbl 1464.35327
Khoutir, Sofiane
2021
Global solvability in a two-species chemotaxis system with logistic source. Zbl 1466.92019
Ren, Guoqiang
2021
A classification of lowest weight irreducible modules over $$\mathbb{Z}_2^2$$-graded extension of osp(1|2). Zbl 1462.81163
Amakawa, K.; Aizawa, N.
2021
Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero-Moser model. Zbl 1475.37074
Prokofev, V.; Zabrodin, A.
2021
Global existence and exponential decay of strong solutions for 2D nonhomogeneous micropolar fluids with density-dependent viscosity. Zbl 1468.76005
Liu, Lingxi; Zhong, Xin
2021
On the modified logarithmic Sobolev inequality for the heat-Bath dynamics for 1D systems. Zbl 1467.81068
Bardet, Ivan; Capel, Ángela; Lucia, Angelo; Pérez-García, David; Rouzé, Cambyse
2021
A singular elliptic problem involving fractional $$p$$-Laplacian and a discontinuous critical nonlinearity. Zbl 1472.35172
Saoudi, Kamel; Panda, Akasmika; Choudhuri, Debajyoti
2021
The classical $$\beta$$-ensembles with $$\beta$$ proportional to $$1/N$$: from loop equations to Dyson’s disordered chain. Zbl 1469.60031
Forrester, P. J.; Mazzuca, G.
2021
Modeling the third-order velocity structure function in the scaling range at finite Reynolds numbers. Zbl 1472.76047
Djenidi, L.; Antonia, R. A.
2021
Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials. Zbl 1476.60011
Andraus, Sergio; Hermann, Kilian; Voit, Michael
2021
CKP hierarchy and free bosons. Zbl 1478.37071
Yang, Yi; Geng, Lumin; Cheng, Jipeng
2021
Localized nodal solutions for semiclassical Choquard equations. Zbl 07406072
He, Rui; Liu, Xiangqing
2021
Twisted Rota-Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras. Zbl 07406075
Das, Apurba
2021
The $$\overline{\partial}$$-dressing method and soliton solutions for the three-component coupled Hirota equations. Zbl 07406104
Wang, Zi-Yi; Tian, Shou-Fu; Cheng, Jia
2021
Generic zero-Hausdorff and one-packing spectral measures. Zbl 1456.81177
Carvalho, Silas L.; de Oliveira, César R.
2021
Regularity criteria of axisymmetric weak solutions to the 3D MHD equations. Zbl 1490.35318
Guo, Zhengguang; Wang, Yu; Li, Yeping
2021
The Cauchy problem for the Klein-Gordon equation under the quartic potential in the De Sitter spacetime. Zbl 07452067
Nakamura, Makoto
2021
Particle-hole symmetries in condensed matter. Zbl 1462.82066
Zirnbauer, Martin R.
2021
Semi-algebraic sets method in PDE and mathematical physics. Zbl 1460.35011
Wang, W.-M.
2021
Resonances as viscosity limits for exponentially decaying potentials. Zbl 1459.81119
Xiong, Haoren
2021
A common parametrization for finite mode Gaussian states, their symmetries, and associated contractions with some applications. Zbl 1459.81141
John, Tiju Cherian; Parthasarathy, K. R.
2021
Existence of attractors for stochastic diffusion equations with fractional damping and time-varying delay. Zbl 1460.35046
Chen, Pengyu; Zhang, Xuping
2021
Revisiting Groeneveld’s approach to the virial expansion. Zbl 1462.82006
Jansen, Sabine
2021
Local well-posedness to the three-dimensional barotropic compressible magnetohydrodynamic equations with vacuum. Zbl 1462.76213
Xu, Qingmei; Zhong, Xin
2021
The spatially homogeneous Boltzmann equation for massless particles in an FLRW background. Zbl 1464.35167
Lee, Ho
2021
The Liouville type theorem for the stationary magnetohydrodynamic equations. Zbl 1461.76550
Fan, Huiying; Wang, Meng
2021
Classification of solutions for self-dual Chern-Simons CP(1) model. Zbl 1461.81082
Chern, Jann-Long; Chen, Zhi-You; Shen, Hung-Ying
2021
Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation. Zbl 1464.35318
Dinh, Van Duong
2021
Magnetic perturbations of anyonic and Aharonov-Bohm Schrödinger operators. Zbl 1461.81036
Correggi, Michele; Fermi, Davide
2021
Infinite wall in the fractional quantum mechanics. Zbl 1461.81030
Dong, Jianping; Lu, Ying
2021
An ubiquitous three-term recurrence relation. Zbl 1461.81024
Amore, Paolo; Fernández, Francisco M.
2021
Canonical analysis of $$\mathbf{E}_{6(6)}(\mathbb{R})$$ invariant five dimensional (super-)gravity. Zbl 1472.83107
Kreutzer, Lars T.
2021
1/2-BPS vortex strings in $$\mathcal{N} = 2$$ supersymmetric $$U(1)^N$$ gauge theories. Zbl 1461.81095
Gudnason, Sven Bjarke; Eto, Minoru; Nitta, Muneto
2021
Photon surfaces with equipotential time slices. Zbl 1470.83033
Cederbaum, Carla; Galloway, Gregory J.
2021
The phenomena of concentration and cavitation in the Riemann solution for the isentropic zero-pressure dusty gasdynamics. Zbl 1461.76469
Chaturvedi, Rahul Kumar; Singh, L. P.
2021
Effective impedance over ordered fields. Zbl 1462.78016
Muranova, Anna
2021
Painlevé IV, $$\sigma$$-form, and the deformed Hermite unitary ensembles. Zbl 1461.42019
Zhu, Mengkun; Wang, Dan; Chen, Yang
2021
Interaction-round-a-face and consistency-around-a-face-centered-cube. Zbl 1467.82029
Kels, Andrew P.
2021
Semiclassical WKB problem for the non-self-adjoint Dirac operator with a decaying potential. Zbl 1461.81041
Hatzizisis, Nicholas; Kamvissis, Spyridon
2021
Strong damping effect of chemo-repulsion prevents blow-up. Zbl 1466.92018
Lin, Ke; Xiang, Tian
2021
Infinitely many multi-vortex solutions of the magnetic Ginzburg-Landau equation with external potentials in $$\mathbb{R}^2$$. Zbl 1467.82106
Wei, Juncheng; Wu, Yuanze
2021
Golden mean renormalization for the almost Mathieu operator and related skew products. Zbl 1462.81091
Koch, Hans
2021
Perturbations of circuit evolution matrices with Jordan blocks. Zbl 1462.78015
Figotin, Alexander
2021
Constructive expansion for vector field theories. I: Quartic models in low dimensions. Zbl 1462.81124
Erbin, Harold; Lahoche, Vincent; Tamaazousti, Mohamed
2021
$$L^{ \text bf{ \infty }}$$ bounds for Chern-Simons gauged equations in $$\mathbb{R}^{1 + 1}$$ and their applications. Zbl 1465.81060
Huh, Hyungjin; Yim, Jihyun
2021
Local well-posedness for the isentropic compressible MHD system with vacuum. Zbl 1465.76108
Fan, Jishan; Zhou, Yong
2021
Global stability of noncritical traveling front solutions of Fisher-type equations with degenerate nonlinearity. Zbl 1465.35098
Wang, Yang; Cao, Xinyue; Ma, Zhaohai; Li, Xiong
2021
Existence and multiplicity of solutions for the fractional $$p$$-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth. Zbl 1465.35391
de S. Böer, Eduardo; Miyagaki, Olímpio H.
2021
Grassmannian-parameterized solutions to direct-sum polygon and simplex equations. Zbl 1481.16044
Dimakis, Aristophanes; Korepanov, Igor G.
2021
Coherent state superpositions, entanglement, and gauge/gravity correspondence. Zbl 1465.81051
Lin, Hai; Zhu, Yuwei
2021
Decay and subluminality of modes of all wave numbers in the relativistic dynamics of viscous and heat conductive fluids. Zbl 1465.76116
Freistühler, Heinrich; Reintjes, Moritz; Temple, Blake
2021
Time evolution of vortex rings with large radius and very concentrated vorticity. Zbl 1465.76023
Cavallaro, Guido; Marchioro, Carlo
2021
Triangles and electrostatic ion traps. Zbl 1466.78009
2021
Energy decay and blow-up of solutions for a viscoelastic equation with nonlocal nonlinear boundary dissipation. Zbl 1468.74008
Li, Donghao; Zhang, Hongwei; Hu, Qingying
2021
On pointwise decay of waves. Zbl 1467.81039
Schlag, W.
2021
Generating random quantum channels. Zbl 1467.81023
Kukulski, Ryszard; Nechita, Ion; Pawela, Łukasz; Puchała, Zbigniew; Życzkowski, Karol
2021
Strict deformations of quantum field theory in De Sitter spacetime. Zbl 1467.81075
Fröb, M. B.; Much, A.
2021
Normal forms of $$C^{\infty}$$ vector fields based on the renormalization group. Zbl 1478.34048
Chiba, Hayato
2021
Euler’s reflection formula, infinite product formulas, and the correspondence principle of quantum mechanics. Zbl 1467.81098
Friedmann, Tamar; Webb, Quincy
2021
Super fiber bundles, connection forms, and parallel transport. Zbl 1467.81104
Eder, Konstantin
2021
Uncertainty principles associated with the directional short-time Fourier transform. Zbl 1467.81065
Mejjaoli, Hatem; Shah, Firdous A.
2021
Classification of minimal $$\mathbb{Z}_2 \times \mathbb{Z}_2$$-graded Lie (super)algebras and some applications. Zbl 1467.81102
Kuznetsova, Zhanna; Toppan, Francesco
2021
On dispersion managed nonlinear Schrödinger equations with lumped amplification. Zbl 1475.35312
Choi, Mi-Ran; Kang, Younghoon; Lee, Young-Ran
2021
Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in $$L^p$$-based Sobolev spaces. Zbl 1476.35233
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
2021
On representations of the centrally extended Heisenberg double of $$SL_2$$. Zbl 1469.81037
Tao, W.-Q.
2021
A new spectral analysis of stationary random Schrödinger operators. Zbl 1472.81092
Duerinckx, Mitia; Shirley, Christopher
2021
On the computation of intersection numbers for twisted cocycles. Zbl 1469.81050
Weinzierl, Stefan
2021
Stealth black hole perturbations in kinetic gravity braiding. Zbl 1470.83045
Bernardo, Reginald Christian; Vega, Ian
2021
Reservoirs, Fick law, and the darken effect. Zbl 1475.35325
De Masi, A.; Merola, I.; Presutti, E.
2021
On the derivative nonlinear Schrödinger equation on the half line with Robin boundary condition. Zbl 1472.81088
Van Tin, Phan
2021
A classification of invertible phases of bosonic quantum lattice systems in one dimension. Zbl 1472.81105
Kapustin, Anton; Sopenko, Nikita; Yang, Bowen
2021
Optical functions in De Sitter. Zbl 1472.83024
Schlue, Volker
2021
Einstein-Rosen waves and the Geroch group. Zbl 1472.83027
Penna, Robert F.
2021
On the relative controllability of neutral delay differential equations. Zbl 1471.93041
You, Zhongli; Fečkan, Michal; Wang, JinRong
2021
Large deviation principles for Langevin equations in random environment and applications. Zbl 1486.82031
Nguyen, Nhu N.; Yin, George
2021
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### Cited by 51,269 Authors

 165 Ma, Wen-Xiu 114 Wazwaz, Abdul-Majid Abdul-Rahman 113 Albeverio, Sergio A. 113 Leach, Peter Gavin Lawrence 111 Guo, Boling 108 Winternitz, Pavel 100 Geng, Xianguo 99 Ha, Seung-Yeal 99 Llibre, Jaume 99 Zhang, Yufeng 90 Calogero, Francesco A. 89 Tang, Xianhua 86 Băleanu, Dumitru I. 85 Fan, Engui 85 He, Jingsong 83 Patera, Jiří 80 Bagarello, Fabio 79 Jørgensen, Palle E. T. 78 Khrennikov, Andreĭ Yur’evich 77 Gesztesy, Fritz 76 Tian, Bo 75 Vinet, Luc 72 Gudder, Stanley P. 72 Majid, Shahn 70 Cariñena, José F. 70 Forrester, Peter J. 69 Exner, Pavel 69 Guha, Partha 69 Kudryashov, Nikolaĭ Alekseevich 69 Van der Jeugt, Joris 67 Fröhlich, Jürg Martin 67 Zhang, Hongqing 66 de León Rodríguez, Manuel 66 Fokas, Athanassios S. 65 Valls Anglés, Cláudia 62 Dong, Huanhe 62 Lakshmanan, Muthusamy 62 Miller, Willard jun. 62 Qiao, Zhijun 60 Newman, Ezra Ted 60 Qu, Changzheng 59 Su, Yucai 57 Li, Jibin 57 Rogers, Colin 56 Kalnins, Ernest G. 56 Mukhamedov, Farruh Maksutovich 55 Lieb, Elliott Hershel 54 Ablowitz, Mark Jay 54 Gould, Mark D. 54 Maharaj, Sunil D. 52 Lou, Senyue 52 Tian, Shoufu 52 Van der Mee, Cornelis Victor Maria 51 Simon, Barry 51 Trapani, Camillo 51 Tsyganov, Andreĭ Vladimirovich 50 Hayashi, Nakao 50 Popovych, Roman O. 49 Antoine, Jean-Pierre 49 Coley, Alan Albert 49 Martín de Diego, David 49 Quesne, Christiane 48 Arai, Asao 48 Gao, Yitian 48 Klauder, John Rider 48 Pelinovsky, Dmitry Efimovich 48 Pulmannová, Sylvia 48 Szabo, Richard J. 48 Xia, Tie-Cheng 48 Zhang, Dajun 47 Dehesa, Jesús S. 47 El-Nabulsi, Rami Ahmad 47 Marmo, Giuseppe 47 Yan, Zhenya 47 Zhang, Ruibin 46 Hall, Graham S. 46 McLenaghan, Raymond G. 45 Chen, Yong 45 Duan, Jinqiao 45 Herrera, Luis Alfredo 44 Chung, Won-Sang 44 Lin, Chang-Shou 44 Smolyanov, Oleg Georgievich 44 Tarasov, Vasily E. 44 Zhang, Jian 43 Grammaticos, Basil 43 Grundland, Alfred Michel 43 Kondrat’yev, Yuriĭ Grygorovych 43 Prykarpatsky, Anatoliy Karolevych 43 Seiringer, Robert 43 Vacaru, Sergiu Ion 42 Grosse, Harald 42 Hassanabadi, Hassan 42 Sardanashvily, Gennadi A. 42 Torres del Castillo, Gerardo Francisco 42 Zeng, Yunbo 41 Eshaghi Gordji, Madjid 41 Harnad, John 41 Marsden, Jerrold Eldon 40 Helffer, Bernard ...and 51,169 more Authors
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 12,186 Journal of Mathematical Physics 2,666 Journal of High Energy Physics 2,545 Communications in Mathematical Physics 1,713 General Relativity and Gravitation 1,693 International Journal of Theoretical Physics 1,403 Journal of Mathematical Analysis and Applications 1,171 Journal of Geometry and Physics 1,165 Journal of Statistical Physics 1,103 Nuclear Physics. B 1,031 Letters in Mathematical Physics 934 Theoretical and Mathematical Physics 873 International Journal of Modern Physics A 833 Applied Mathematics and Computation 777 Journal of Differential Equations 660 Classical and Quantum Gravity 625 International Journal of Geometric Methods in Modern Physics 574 Modern Physics Letters A 570 Journal of Functional Analysis 561 Annales Henri Poincaré 543 Chaos, Solitons and Fractals 543 Physica D 509 Journal of Nonlinear Mathematical Physics 474 Reviews in Mathematical Physics 449 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 430 Physics Letters. A 418 Advances in Mathematics 418 Journal of Physics A: Mathematical and Theoretical 415 International Journal of Modern Physics D 409 Communications in Nonlinear Science and Numerical Simulation 401 Applied Mathematics Letters 398 Reports on Mathematical Physics 390 Journal of Computational Physics 371 Computers & Mathematics with Applications 364 ZAMP. Zeitschrift für angewandte Mathematik und Physik 356 Foundations of Physics 348 Physics Letters. B 346 Linear Algebra and its Applications 341 Journal of Computational and Applied Mathematics 337 Journal of Algebra 323 Acta Applicandae Mathematicae 309 Advances in Mathematical Physics 308 Quantum Information Processing 302 Nonlinear Dynamics 287 Applicable Analysis 285 Archive for Rational Mechanics and Analysis 282 Journal of Statistical Mechanics: Theory and Experiment 272 Transactions of the American Mathematical Society 261 Mathematical Methods in the Applied Sciences 257 Physica A 257 Proceedings of the American Mathematical Society 256 Nonlinear Analysis. Real World Applications 249 Advances in Applied Clifford Algebras 247 Wave Motion 244 Discrete and Continuous Dynamical Systems 242 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 234 New Journal of Physics 232 International Journal of Modern Physics B 230 Physical Review Letters 226 Journal of Mathematical Sciences (New York) 224 Abstract and Applied Analysis 221 Studies in Applied Mathematics 220 Journal of Cosmology and Astroparticle Physics 219 Journal of Fluid Mechanics 219 Advances in Difference Equations 212 Advances in High Energy Physics 202 Journal of Mathematical Chemistry 200 Communications in Algebra 198 Chaos 190 Astrophysics and Space Science 176 Annales de l’Institut Henri Poincaré. Physique Théorique 171 Boundary Value Problems 170 Differential Geometry and its Applications 168 Communications in Partial Differential Equations 165 Nonlinearity 163 Transport Theory and Statistical Physics 163 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 160 Mathematical Physics, Analysis and Geometry 156 Journal of Nonlinear Science 153 Probability Theory and Related Fields 153 Calculus of Variations and Partial Differential Equations 150 SIAM Journal on Mathematical Analysis 146 The Annals of Probability 145 Communications on Pure and Applied Analysis 141 Acta Mechanica 140 Discrete and Continuous Dynamical Systems. Series B 139 Stochastic Processes and their Applications 138 Gravitation & Cosmology 137 Regular and Chaotic Dynamics 132 Analysis and Mathematical Physics 131 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 125 Journal of Pure and Applied Algebra 125 Applied and Computational Harmonic Analysis 121 The Journal of Fourier Analysis and Applications 121 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 120 Linear and Multilinear Algebra 118 Infinite Dimensional Analysis, Quantum Probability and Related Topics 117 Mathematical Notes 114 Modern Physics Letters B 114 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 111 Integral Transforms and Special Functions ...and 1,045 more Journals
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### Cited in 63 Fields

 21,968 Quantum theory (81-XX) 19,329 Partial differential equations (35-XX) 10,703 Relativity and gravitational theory (83-XX) 7,735 Dynamical systems and ergodic theory (37-XX) 6,812 Differential geometry (53-XX) 6,717 Statistical mechanics, structure of matter (82-XX) 4,572 Nonassociative rings and algebras (17-XX) 4,556 Fluid mechanics (76-XX) 4,512 Probability theory and stochastic processes (60-XX) 4,007 Ordinary differential equations (34-XX) 3,898 Operator theory (47-XX) 3,851 Global analysis, analysis on manifolds (58-XX) 3,778 Mechanics of particles and systems (70-XX) 3,608 Functional analysis (46-XX) 3,048 Numerical analysis (65-XX) 2,195 Topological groups, Lie groups (22-XX) 2,145 Special functions (33-XX) 2,094 Linear and multilinear algebra; matrix theory (15-XX) 1,686 Optics, electromagnetic theory (78-XX) 1,646 Harmonic analysis on Euclidean spaces (42-XX) 1,641 Mechanics of deformable solids (74-XX) 1,498 Combinatorics (05-XX) 1,380 Associative rings and algebras (16-XX) 1,345 Information and communication theory, circuits (94-XX) 1,282 Algebraic geometry (14-XX) 1,059 Group theory and generalizations (20-XX) 958 Real functions (26-XX) 940 Difference and functional equations (39-XX) 856 Biology and other natural sciences (92-XX) 844 Calculus of variations and optimal control; optimization (49-XX) 835 Integral equations (45-XX) 831 Number theory (11-XX) 803 Manifolds and cell complexes (57-XX) 733 Astronomy and astrophysics (85-XX) 706 Statistics (62-XX) 697 Systems theory; control (93-XX) 690 Computer science (68-XX) 664 Classical thermodynamics, heat transfer (80-XX) 663 Functions of a complex variable (30-XX) 605 Category theory; homological algebra (18-XX) 544 Several complex variables and analytic spaces (32-XX) 464 Approximations and expansions (41-XX) 432 Measure and integration (28-XX) 419 Mathematical logic and foundations (03-XX) 378 Integral transforms, operational calculus (44-XX) 360 Abstract harmonic analysis (43-XX) 338 Algebraic topology (55-XX) 271 Order, lattices, ordered algebraic structures (06-XX) 267 Convex and discrete geometry (52-XX) 267 Geophysics (86-XX) 258 Geometry (51-XX) 251 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 217 Potential theory (31-XX) 197 General and overarching topics; collections (00-XX) 191 General topology (54-XX) 189 Operations research, mathematical programming (90-XX) 168 Commutative algebra (13-XX) 167 History and biography (01-XX) 125 $$K$$-theory (19-XX) 120 Sequences, series, summability (40-XX) 76 Field theory and polynomials (12-XX) 40 General algebraic systems (08-XX) 7 Mathematics education (97-XX)