Bertola, M.; Harnad, J.; Hurtubise, J. Hamiltonian structure of rational isomonodromic deformation systems. (English) Zbl 1520.37042 J. Math. Phys. 64, No. 8, Article ID 083502, 34 p. (2023). MSC: 37J06 34M55 34M56 37J35 PDFBibTeX XMLCite \textit{M. Bertola} et al., J. Math. Phys. 64, No. 8, Article ID 083502, 34 p. (2023; Zbl 1520.37042) Full Text: DOI arXiv
Arthamonov, S.; Harnad, J.; Hurtubise, J. Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. (English) Zbl 1525.37074 Commun. Math. Phys. 401, No. 2, 1337-1381 (2023). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 37K10 37K20 37K25 37K40 35Q51 14M15 14H70 PDFBibTeX XMLCite \textit{S. Arthamonov} et al., Commun. Math. Phys. 401, No. 2, 1337--1381 (2023; Zbl 1525.37074) Full Text: DOI arXiv
Arthamonov, S.; Harnad, J.; Hurtubise, J. Tau functions, infinite Grassmannians, and lattice recurrences. (English) Zbl 1511.37075 J. Math. Phys. 64, No. 2, Article ID 023502, 39 p. (2023). MSC: 37K10 37K20 39A36 PDFBibTeX XMLCite \textit{S. Arthamonov} et al., J. Math. Phys. 64, No. 2, Article ID 023502, 39 p. (2023; Zbl 1511.37075) Full Text: DOI arXiv
Bertola, M.; Del Monte, Fabrizio; Harnad, J. Fredholm Pfaffian \(\tau \)-functions for orthogonal isospectral and isomonodromic systems. (English) Zbl 1511.37082 Ann. Henri Poincaré 23, No. 12, 4521-4554 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K20 37K10 37K30 34M56 34M50 PDFBibTeX XMLCite \textit{M. Bertola} et al., Ann. Henri Poincaré 23, No. 12, 4521--4554 (2022; Zbl 1511.37082) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Polynomial KP and BKP \(\tau\)-functions and correlators. (English) Zbl 1481.37074 Ann. Henri Poincaré 22, No. 9, 3025-3049 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K20 37K30 81Q80 81U15 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Ann. Henri Poincaré 22, No. 9, 3025--3049 (2021; Zbl 1481.37074) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Bilinear expansion of Schur functions in Schur \(Q\)-functions: a fermionic approach. (English) Zbl 1471.05114 Proc. Am. Math. Soc. 149, No. 10, 4117-4131 (2021). MSC: 05E05 05A17 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Proc. Am. Math. Soc. 149, No. 10, 4117--4131 (2021; Zbl 1471.05114) Full Text: DOI arXiv
Harnad, J. Weighted Hurwitz numbers, \(\tau\)-functions, and matrix integrals. (English) Zbl 1483.14059 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 77-89 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H81 14H30 33C20 33E30 37K10 PDFBibTeX XMLCite \textit{J. Harnad}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 77--89 (2021; Zbl 1483.14059) Full Text: DOI arXiv
Harnad, John; Runov, Boris Constellations and \(\tau\)-functions for rationally weighted Hurwitz numbers. (English) Zbl 1465.05012 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 8, No. 1, 119-158 (2021). MSC: 05A15 05E14 14H30 14H81 20B05 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{B. Runov}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 8, No. 1, 119--158 (2021; Zbl 1465.05012) Full Text: DOI arXiv
Balogh, F.; Harnad, J.; Hurtubise, J. Isotropic Grassmannians, Plücker and Cartan maps. (English) Zbl 1464.37070 J. Math. Phys. 62, No. 2, Article ID 021701, 23 p. (2021). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{F. Balogh} et al., J. Math. Phys. 62, No. 2, Article ID 021701, 23 p. (2021; Zbl 1464.37070) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Bilinear expansions of lattices of KP \( \tau \)-functions in BKP \( \tau \)-functions: a fermionic approach. (English) Zbl 1456.81304 J. Math. Phys. 62, No. 1, Article ID 013508, 17 p. (2021). MSC: 81T10 81V74 47A60 15A15 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, J. Math. Phys. 62, No. 1, Article ID 013508, 17 p. (2021; Zbl 1456.81304) Full Text: DOI arXiv
Harnad, J.; Runov, B. Matrix model generating function for quantum weighted Hurwitz numbers. (English) Zbl 1511.05008 J. Phys. A, Math. Theor. 53, No. 6, Article ID 065201, 17 p. (2020). MSC: 05A15 14H81 33C67 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{B. Runov}, J. Phys. A, Math. Theor. 53, No. 6, Article ID 065201, 17 p. (2020; Zbl 1511.05008) Full Text: DOI arXiv
Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. Weighted Hurwitz numbers and topological recursion. (English) Zbl 1472.37078 Commun. Math. Phys. 375, No. 1, 237-305 (2020). MSC: 37K20 37K10 81Q20 PDFBibTeX XMLCite \textit{A. Alexandrov} et al., Commun. Math. Phys. 375, No. 1, 237--305 (2020; Zbl 1472.37078) Full Text: DOI arXiv
Bertola, M.; Harnad, J.; Runov, B. Generating weighted Hurwitz numbers. (English) Zbl 1441.14118 J. Math. Phys. 61, No. 1, 013506, 16 p. (2020). MSC: 14H81 05A15 14H37 14N10 PDFBibTeX XMLCite \textit{M. Bertola} et al., J. Math. Phys. 61, No. 1, 013506, 16 p. (2020; Zbl 1441.14118) Full Text: DOI arXiv
Bertola, M.; Harnad, J. Rationally weighted Hurwitz numbers, Meijer \(G\)-functions and matrix integrals. (English) Zbl 1429.81029 J. Math. Phys. 60, No. 10, 103504, 15 p. (2019). MSC: 81Q10 14H70 33C20 11M35 15A99 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{J. Harnad}, J. Math. Phys. 60, No. 10, 103504, 15 p. (2019; Zbl 1429.81029) Full Text: DOI arXiv
Harnad, J.; Lee, Eunghyun Symmetric polynomials, generalized Jacobi-Trudi identities and \(\tau\)-functions. (English) Zbl 1397.05198 J. Math. Phys. 59, No. 9, 091411, 23 p. (2018). MSC: 05E05 37K10 30C10 30H10 14M15 20G43 35Q53 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{E. Lee}, J. Math. Phys. 59, No. 9, 091411, 23 p. (2018; Zbl 1397.05198) Full Text: DOI arXiv
Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. Weighted Hurwitz numbers and topological recursion: an overview. (English) Zbl 1401.14147 J. Math. Phys. 59, No. 8, 081102, 21 p. (2018). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 14H30 30F10 05A15 33C20 37K10 37K20 14J81 33C70 57M12 PDFBibTeX XMLCite \textit{A. Alexandrov} et al., J. Math. Phys. 59, No. 8, 081102, 21 p. (2018; Zbl 1401.14147) Full Text: DOI arXiv
Harnad, J; Ortmann, Janosch Asymptotics of quantum weighted Hurwitz numbers. (English) Zbl 1397.82048 J. Phys. A, Math. Theor. 51, No. 22, Article ID 225201, 21 p. (2018). MSC: 82D05 82B30 11M35 37K10 PDFBibTeX XMLCite \textit{J Harnad} and \textit{J. Ortmann}, J. Phys. A, Math. Theor. 51, No. 22, Article ID 225201, 21 p. (2018; Zbl 1397.82048) Full Text: DOI arXiv
Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J. Fermionic approach to weighted Hurwitz numbers and topological recursion. (English) Zbl 1436.14060 Commun. Math. Phys. 360, No. 2, 777-826 (2018). MSC: 14H81 05A15 14H30 33E30 37K10 PDFBibTeX XMLCite \textit{A. Alexandrov} et al., Commun. Math. Phys. 360, No. 2, 777--826 (2018; Zbl 1436.14060) Full Text: DOI arXiv
Guay-Paquet, Mathieu; Harnad, J. Generating functions for weighted Hurwitz numbers. (English) Zbl 1369.05013 J. Math. Phys. 58, No. 8, 083503, 28 p. (2017). MSC: 05A15 14H81 14H30 35Q41 81Q05 PDFBibTeX XMLCite \textit{M. Guay-Paquet} and \textit{J. Harnad}, J. Math. Phys. 58, No. 8, 083503, 28 p. (2017; Zbl 1369.05013) Full Text: DOI arXiv
Harnad, J. Quantum Hurwitz numbers and Macdonald polynomials. (English) Zbl 1357.33008 J. Math. Phys. 57, No. 11, 113505, 16 p. (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C10 33D52 14H30 05A15 PDFBibTeX XMLCite \textit{J. Harnad}, J. Math. Phys. 57, No. 11, 113505, 16 p. (2016; Zbl 1357.33008) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Hypergeometric \(\tau\)-functions, Hurwitz numbers and enumeration of paths. (English) Zbl 1347.33035 Commun. Math. Phys. 338, No. 1, 267-284 (2015). Reviewer: Shigeki Matsutani (Nagasaki) MSC: 33C70 14H30 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Commun. Math. Phys. 338, No. 1, 267--284 (2015; Zbl 1347.33035) Full Text: DOI arXiv
Guay-Paquet, Mathieu; Harnad, J. 2D Toda \(\tau\)-functions as combinatorial generating functions. (English) Zbl 1347.05245 Lett. Math. Phys. 105, No. 6, 827-852 (2015). MSC: 05E05 05A15 05C25 14H30 14N10 PDFBibTeX XMLCite \textit{M. Guay-Paquet} and \textit{J. Harnad}, Lett. Math. Phys. 105, No. 6, 827--852 (2015; Zbl 1347.05245) Full Text: DOI arXiv
Balogh, F.; Fonseca, T.; Harnad, J. Finite dimensional Kadomtsev-Petviashvili {\(\tau\)}-functions. I: Finite Grassmannians. (English) Zbl 1300.37043 J. Math. Phys. 55, No. 8, 083517, 32 p. (2014). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 37K30 14M15 PDFBibTeX XMLCite \textit{F. Balogh} et al., J. Math. Phys. 55, No. 8, 083517, 32 p. (2014; Zbl 1300.37043) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Determinantal identity for multilevel ensembles and finite determinantal point processes. (English) Zbl 1322.60059 Anal. Math. Phys. 2, No. 2, 105-121 (2012). MSC: 60G55 60B20 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Anal. Math. Phys. 2, No. 2, 105--121 (2012; Zbl 1322.60059) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Fermionic approach for evaluating integrals of rational symmetric functions. (English. Russian original) Zbl 1173.81015 Theor. Math. Phys. 158, No. 1, 17-39 (2009); translation from Teor. Mat. Fiz. 158, No. 1, 23-48 (2009). MSC: 81T15 15B52 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Theor. Math. Phys. 158, No. 1, 17--39 (2009; Zbl 1173.81015); translation from Teor. Mat. Fiz. 158, No. 1, 23--48 (2009) Full Text: DOI arXiv
Harnad, John; Hurtubise, Jacques Multi-Hamiltonian structures for \(r\)-matrix systems. (English) Zbl 1152.81465 J. Math. Phys. 49, No. 6, 062903, 21 p. (2008). MSC: 81-XX PDFBibTeX XMLCite \textit{J. Harnad} and \textit{J. Hurtubise}, J. Math. Phys. 49, No. 6, 062903, 21 p. (2008; Zbl 1152.81465) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. (English. Russian original) Zbl 1128.37041 Theor. Math. Phys. 152, No. 2, 1099-1110 (2007); translation from Teor. Mat. Fiz. 152, No. 2, 265-277 (2007). MSC: 37K10 81R05 37K60 35Q53 17B10 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Theor. Math. Phys. 152, No. 2, 1099--1110 (2007; Zbl 1128.37041); translation from Teor. Mat. Fiz. 152, No. 2, 265--277 (2007) Full Text: DOI arXiv
Harnad, J.; Orlov, A. Yu. Fermionic construction of tau functions and random processes. (English) Zbl 1183.82032 Physica D 235, No. 1-2, 168-206 (2007). MSC: 82B41 60K40 82B28 05C90 05E10 37K10 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{A. Yu. Orlov}, Physica D 235, No. 1--2, 168--206 (2007; Zbl 1183.82032) Full Text: DOI arXiv
Bertola, M.; Eynard, B.; Harnad, J. Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. (English) Zbl 1131.82306 Commun. Math. Phys. 263, No. 2, 401-437 (2006). MSC: 82B44 34M55 37K20 PDFBibTeX XMLCite \textit{M. Bertola} et al., Commun. Math. Phys. 263, No. 2, 401--437 (2006; Zbl 1131.82306) Full Text: DOI arXiv
Harnad, J. On the bilinear equations for Fredholm determinants appearing in random matrices. (English) Zbl 1183.47044 J. Nonlinear Math. Phys. 9, No. 4, 530-550 (2002). MSC: 47G10 34M55 37K10 47A53 60E05 82B31 82B44 PDFBibTeX XMLCite \textit{J. Harnad}, J. Nonlinear Math. Phys. 9, No. 4, 530--550 (2002; Zbl 1183.47044) Full Text: DOI arXiv
Harnad, J.; Routhier, M. \(R\)-matrix construction of electromagnetic models for the Painlevé transcendents. (English) Zbl 0844.58028 J. Math. Phys. 36, No. 9, 4863-4881 (1995). MSC: 37J99 78A25 81R50 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{M. Routhier}, J. Math. Phys. 36, No. 9, 4863--4881 (1995; Zbl 0844.58028) Full Text: DOI arXiv
Harnad, J.; Winternitz, P. Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables. (English) Zbl 0842.58046 Commun. Math. Phys. 172, No. 2, 263-285 (1995). MSC: 37J35 37K10 35Q40 53D50 35Q58 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{P. Winternitz}, Commun. Math. Phys. 172, No. 2, 263--285 (1995; Zbl 0842.58046) Full Text: DOI arXiv
Harnad, J.; Winternitz, P. Harmonics on hyperspheres, separation of variables and the Bethe ansatz. (English) Zbl 0838.58017 Lett. Math. Phys. 33, No. 1, 61-74 (1995). MSC: 37J35 37K10 17B65 81R10 82B23 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{P. Winternitz}, Lett. Math. Phys. 33, No. 1, 61--74 (1995; Zbl 0838.58017) Full Text: DOI arXiv
Harnad, J.; Kupershmidt, B. A. Symplectic geometries on \(T^*\widetilde {G}\), Hamiltonian group actions and integrable systems. (English) Zbl 0829.53027 J. Geom. Phys. 16, No. 2, 168-206 (1995). Reviewer: St.Janeczko (Warszawa) MSC: 53C15 37J35 37K10 37J99 20N05 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{B. A. Kupershmidt}, J. Geom. Phys. 16, No. 2, 168--206 (1995; Zbl 0829.53027) Full Text: DOI arXiv
Harnad, J.; Shnider, S. Isotropic geometry and twistors in higher dimensions. II: Odd dimensions, reality conditions, and twistor superspaces. (English) Zbl 0823.32015 J. Math. Phys. 36, No. 4, 1945-1970 (1995). MSC: 32L81 14M15 32L25 83C60 81T60 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{S. Shnider}, J. Math. Phys. 36, No. 4, 1945--1970 (1995; Zbl 0823.32015) Full Text: DOI
Harnad, J. Dual isomonodromic deformations and moment maps to loop algebras. (English) Zbl 0822.58018 Commun. Math. Phys. 166, No. 2, 337-365 (1994). MSC: 37J99 17B67 58A17 PDFBibTeX XMLCite \textit{J. Harnad}, Commun. Math. Phys. 166, No. 2, 337--365 (1994; Zbl 0822.58018) Full Text: DOI arXiv
Adams, M. R.; Harnad, J.; Hurtubise, J. Darboux coordinates and Liouville-Arnold integration in loop algebras. (English) Zbl 0791.58047 Commun. Math. Phys. 155, No. 2, 385-413 (1993). Reviewer: O.Liess (Darmstadt) MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{M. R. Adams} et al., Commun. Math. Phys. 155, No. 2, 385--413 (1993; Zbl 0791.58047) Full Text: DOI arXiv
Harnad, J.; Wisse, M.-A. Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation. (English) Zbl 0780.35100 J. Math. Phys. 34, No. 8, 3518-3526 (1993). MSC: 35Q53 58J70 14H42 53C80 17B66 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{M. A. Wisse}, J. Math. Phys. 34, No. 8, 3518--3526 (1993; Zbl 0780.35100) Full Text: DOI arXiv
Fehér, L.; Harnad, J.; Marshall, I. Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. (English) Zbl 0773.35068 Commun. Math. Phys. 154, No. 1, 181-214 (1993). MSC: 35Q53 37J35 37K10 17B68 PDFBibTeX XMLCite \textit{L. Fehér} et al., Commun. Math. Phys. 154, No. 1, 181--214 (1993; Zbl 0773.35068) Full Text: DOI arXiv
Harnad, J.; Wisse, M.-A. Matrix nonlinear Schrödinger equations and moment maps into loop algebras. (English) Zbl 0767.58013 J. Math. Phys. 33, No. 12, 4164-4176 (1992). MSC: 37J99 17B81 35Q55 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{M. A. Wisse}, J. Math. Phys. 33, No. 12, 4164--4176 (1992; Zbl 0767.58013) Full Text: DOI arXiv
Harnad, J.; Shnider, S. Isotropic geometry and twistors in higher dimensions. I: The generalized Klein correspondence and spinor flags in even dimensions. (English) Zbl 0764.32009 J. Math. Phys. 33, No. 9, 3197-3208 (1992). MSC: 32L81 83C60 14M15 32L25 81T40 51M35 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{S. Shnider}, J. Math. Phys. 33, No. 9, 3197--3208 (1992; Zbl 0764.32009) Full Text: DOI
Harnad, J.; Hurtubise, J. Generalized tops and moment maps to loop algebras. (English) Zbl 0733.70012 J. Math. Phys. 32, No. 7, 1780-1787 (1991). MSC: 70H05 22E67 37J99 37J35 37K10 37C80 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{J. Hurtubise}, J. Math. Phys. 32, No. 7, 1780--1787 (1991; Zbl 0733.70012) Full Text: DOI
Adams, M. R.; Harnad, J.; Hurtubise, J. Dual moment maps into loop algebras. (English) Zbl 0721.58025 Lett. Math. Phys. 20, No. 4, 299-308 (1990). Reviewer: Ch.Athorne (Glasgow) MSC: 37J35 37K10 17B67 PDFBibTeX XMLCite \textit{M. R. Adams} et al., Lett. Math. Phys. 20, No. 4, 299--308 (1990; Zbl 0721.58025) Full Text: DOI
Adams, M. R.; Harnad, J.; Hurtubise, J. Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows. (English) Zbl 0717.58051 Commun. Math. Phys. 134, No. 3, 555-585 (1990). Reviewer: W.J.Satzer jun MSC: 37C10 37J35 37K10 35Q55 PDFBibTeX XMLCite \textit{M. R. Adams} et al., Commun. Math. Phys. 134, No. 3, 555--585 (1990; Zbl 0717.58051) Full Text: DOI
Harnad, J.; Kupershmidt, B. A. Super loop groups, Hamiltonian actions and super Virasoro algebras. (English) Zbl 0709.17020 Commun. Math. Phys. 132, No. 2, 315-347 (1990). Reviewer: T.Ratiu MSC: 17B68 53D50 22E67 81R10 17A70 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{B. A. Kupershmidt}, Commun. Math. Phys. 132, No. 2, 315--347 (1990; Zbl 0709.17020) Full Text: DOI
Harnad, J.; Kupershmidt, B. A. Twisted Diff \(S^ 1\)-action on loop groups and representations of the Virasoro algebra. (English) Zbl 0704.58017 Lett. Math. Phys. 19, No. 4, 277-283 (1990). Reviewer: J.Danesova MSC: 37J99 58B25 17B65 17B10 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{B. A. Kupershmidt}, Lett. Math. Phys. 19, No. 4, 277--283 (1990; Zbl 0704.58017) Full Text: DOI
Adams, M. R.; Harnad, J.; Previato, E. Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. (English) Zbl 0659.58022 Commun. Math. Phys. 117, No. 3, 451-500 (1988). Reviewer: H.Knörrer MSC: 37J35 37K10 22E65 37C10 PDFBibTeX XMLCite \textit{M. R. Adams} et al., Commun. Math. Phys. 117, No. 3, 451--500 (1988; Zbl 0659.58022) Full Text: DOI
Harnad, J.; Jacques, M. Formal power series solutions of supersymmetric \((N=3)\) Yang-Mills equations. (English) Zbl 0605.58013 J. Math. Phys. 27, 2394-2401 (1986). Reviewer: Ch.Sharma MSC: 58D30 37C10 53C80 81T60 47J05 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{M. Jacques}, J. Math. Phys. 27, 2394--2401 (1986; Zbl 0605.58013) Full Text: DOI
Harnad, J.; Jacques, M. The supersymmetric soliton correlation matrix. (English) Zbl 0603.22009 J. Geom. Phys. 2, No. 1, 1-15 (1985). Reviewer: M.Monastyrsky MSC: 22E70 81T60 82B20 35G20 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{M. Jacques}, J. Geom. Phys. 2, No. 1, 1--15 (1985; Zbl 0603.22009) Full Text: DOI
Grundland, A. M.; Harnad, J.; Winternitz, P. Symmetry reduction for nonlinear relativistically invariant equations. (English) Zbl 0599.70026 J. Math. Phys. 25, 791-806 (1984). MSC: 70Sxx 70H20 83A05 PDFBibTeX XMLCite \textit{A. M. Grundland} et al., J. Math. Phys. 25, 791--806 (1984; Zbl 0599.70026) Full Text: DOI
Harnad, J.; Saint-Aubin, Yvan; Shnider, S. Quadratic pseudopotentials for Gl(N,\({\mathbb{C}})\) principal sigma models. (English) Zbl 0584.58016 Physica D 10, 394-412 (1984). Reviewer: Ch.Sharma MSC: 58D30 57S25 37J35 37K10 PDFBibTeX XMLCite \textit{J. Harnad} et al., Physica D 10, 394--412 (1984; Zbl 0584.58016) Full Text: DOI
Harnad, J.; Saint-Aubin, Yvan; Shnider, S. The soliton correlation matrix and the reduction problem for integrable systems. (English) Zbl 0549.58025 Commun. Math. Phys. 93, 33-56 (1984). Reviewer: G.-Z.Tu MSC: 37J35 37K10 35Q99 81T08 22E70 PDFBibTeX XMLCite \textit{J. Harnad} et al., Commun. Math. Phys. 93, 33--56 (1984; Zbl 0549.58025) Full Text: DOI
David, D.; Harnad, J.; Shnider, S. Multi-soliton solutions to the Thirring model through the reduction method. (English) Zbl 0539.35071 Lett. Math. Phys. 8, 27-37 (1984). MSC: 35Q99 35A30 35G20 PDFBibTeX XMLCite \textit{D. David} et al., Lett. Math. Phys. 8, 27--37 (1984; Zbl 0539.35071) Full Text: DOI
Harnad, J.; Saint-Aubin, Yvan; Shnider, S. Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces. (English) Zbl 0532.58036 Commun. Math. Phys. 92, 329-367 (1984). Reviewer: G.Tu MSC: 58J90 35Q99 53C80 53C35 81T60 PDFBibTeX XMLCite \textit{J. Harnad} et al., Commun. Math. Phys. 92, 329--367 (1984; Zbl 0532.58036) Full Text: DOI
Harnad, J.; Winternitz, P.; Anderson, R. L. Superposition principles for matrix Riccati equations. (English) Zbl 0556.34015 J. Math. Phys. 24, 1062-1072 (1983). Reviewer: S.Leela MSC: 34B30 PDFBibTeX XMLCite \textit{J. Harnad} et al., J. Math. Phys. 24, 1062--1072 (1983; Zbl 0556.34015) Full Text: DOI
Anderson, R. L.; Harnad, J.; Winternitz, P. Systems of ordinary differential equations with nonlinear superposition principles. (English) Zbl 1194.34013 Physica D 4, No. 2, 164-182 (1982). MSC: 34A34 PDFBibTeX XMLCite \textit{R. L. Anderson} et al., Physica D 4, No. 2, 164--182 (1982; Zbl 1194.34013) Full Text: DOI
Harnad, J.; Winternitz, P. Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation. (English) Zbl 0519.35023 J. Math. Phys. 23, 517-525 (1982). MSC: 35J10 35Q99 PDFBibTeX XMLCite \textit{J. Harnad} and \textit{P. Winternitz}, J. Math. Phys. 23, 517--525 (1982; Zbl 0519.35023) Full Text: DOI
Anderson, R. L.; Harnad, J.; Winternitz, P. Group theoretical approach to superposition rules for systems of Riccati equations. (English) Zbl 0474.34011 Lett. Math. Phys. 5, 143-148 (1981). MSC: 34A34 PDFBibTeX XMLCite \textit{R. L. Anderson} et al., Lett. Math. Phys. 5, 143--148 (1981; Zbl 0474.34011) Full Text: DOI
Harnad, J.; Shnider, S.; Vinet, Luc Group actions on principal bundles and invariance conditions for gauge fields. (English) Zbl 0454.55010 J. Math. Phys. 21, 2719-2724 (1980). MSC: 55R10 53C05 58J70 57S99 PDFBibTeX XMLCite \textit{J. Harnad} et al., J. Math. Phys. 21, 2719--2724 (1980; Zbl 0454.55010) Full Text: DOI
Harnad, J.; Shnider, S.; Tafel, J. Group actions on principal bundles and dimensional reduction. (English) Zbl 0451.58013 Lett. Math. Phys. 4, 107-113 (1980). MSC: 58D30 53C05 53C80 81T08 PDFBibTeX XMLCite \textit{J. Harnad} et al., Lett. Math. Phys. 4, 107--113 (1980; Zbl 0451.58013) Full Text: DOI
Harnad, J.; Shnider, S.; Vinet, Luc The Yang-Mills system in compactified Minkowski space; invariance conditions and SU(2) invariant solutions. (English) Zbl 0424.58022 J. Math. Phys. 20, 931-942 (1979). MSC: 58J45 58J70 81T08 22E70 PDFBibTeX XMLCite \textit{J. Harnad} et al., J. Math. Phys. 20, 931--942 (1979; Zbl 0424.58022) Full Text: DOI