Found 200 Documents (Results 1–100)
Matrix extension of multidimensional dispersionless integrable hierarchies. (English. Russian original) Zbl 1515.37066
Theor. Math. Phys. 209, No. 1, 1319-1330 (2021); translation from Teor. Mat. Fiz. 209, No. 1, 3-15 (2021).
A generalization of King’s equation via noncommutative geometry. (English) Zbl 1492.58005
Papadopoulos, Athanase (ed.), Topology and geometry. A collection of essays dedicated to Vladimir G. Turaev. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 33, 503-536 (2021).
Reviewer: Yong Wang (Changchun)
MSC:
58B34
Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces. (English) Zbl 1465.35222
Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 94, 24 p. (2021); correction ibid. 62, No. 4, Paper No. 132, 7 p. (2023).
Large time behavior of solutions to space-time monopole equations in \(1+1\) dimensions. (English) Zbl 1455.35023
Chern-Simons gauged sigma model into \( \mathbb{H}^2 \) and its self-dual equations. (English) Zbl 1417.81150
Existence of non-topological multi-string solutions for a gravitational \(O(3)\) gauge field model. (English) Zbl 1417.35035
Reviewer: Giuseppe Di Fazio (Catania)
An \(\mathrm{SO}(3)\)-monopole cobordism formula relating Donaldson and Seiberg-Witten invariants. (English) Zbl 07000313
Memoirs of the American Mathematical Society 1226. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1421-4/print; 978-1-4704-4915-5/ebook). xiv, 238 p. (2018).
Yang-Mills equations on conformally connected torsion-free 4-manifolds with different signatures. (Russian. English summary) Zbl 1413.53027
MSC:
53A30
On certain exact solutions for some equations in field theory. (English) Zbl 1383.78003
Dang, Pei (ed.) et al., New trends in analysis and interdisciplinary applications. Selected contributions of the 10th ISAAC congress, Macau, China, August 3–8, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-48810-3/pbk; 978-3-319-48812-7/ebook). Trends in Mathematics. Research Perspectives, 327-335 (2017).
Topological solutions for the self-dual Chern-Simons \(CP(1)\) model with large Chern-Simons coupling constant. (English) Zbl 1328.58008
Sharp existence theorems for multiple vortices induced from magnetic impurities. (English) Zbl 1310.35221
Existence of solutions to the self-dual equations in the Maxwell gauged sigma model. (English) Zbl 1229.35222
Reviewer: M. Marin (Brasov)
A discrete analogue of Bogomolny equations. (Ukrainian, English) Zbl 1274.35376
Mat. Metody Fiz.-Mekh. Polya 54, No. 4, 36-42 (2011); translation in J. Math. Sci., New York 187, No. 5, 554-582 (2012).
Reviewer: E. Ya. Smirnov (St. Petersburg)
MSC:
35Q60
Bäcklund-transformation-related recursion operators: application to the self-dual Yang-Mills equation. (English) Zbl 1190.35190
The Cauchy problem of the Ward equation. (English) Zbl 1160.35057
Reviewer: Michael Perelmuter (Kyïv)
Anti-self-dual conformal structures in neutral signature. (English) Zbl 1158.53014
Alekseevsky, Dmitri V. (ed.) et al., Recent developments in pseudo-Riemannian geometry. Zürich: European Mathematical Society (ISBN 978-3-03719-051-7/pbk). ESI Lectures in Mathematics and Physics, 113-148 (2008).
Reviewer: Andrew Bucki (Edmond)
On the study of one flow for ASD connection. (English) Zbl 1145.53015
Reviewer: Maido Rahula (Tartu)
Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal coupling. (English) Zbl 1131.81019
Non-local continuity equations and binary Darboux transformation of noncommutative (anti) self-dual Yang-Mills equations. (English) Zbl 1127.81038
Reviewer: David Auckly (Manhattan)
Existence and uniqueness of topological multivortex solutions of the self-dual Chern–Simons \(CP(1)\) model. (English) Zbl 1206.35100
Duality for the general isomonodromy problem. (English) Zbl 1119.34072
Reviewer: Ayşe Karasu (Ankara)
Existence of static BPS monopoles and dyons in arbitrary \((4p-1)\)-dimensional spaces. (English) Zbl 1108.58010
On the topological multivortex solutions of the self-dual Maxwell-Chern-Simons gauged \(\text{O}(3)\) sigma model. (English) Zbl 1115.58018
Anti-self-Dual instantons with Lagrangian boundary conditions. I: Elliptic theory. (English) Zbl 1083.53029
Reviewer: Radu Miron (Iaşi)
\(*\)-SDYM fields and heavenly spaces. I: \(*\)-SDYM equations as an integrable system. (English) Zbl 1070.35098
The anti-self-dual Yang-Mills equations and their reductions. (English) Zbl 1065.53026
Mason, Lionel (ed.) et al., Geometry and integrability. Cambridge: Cambridge University Press (ISBN 0-521-52999-9/pbk). London Mathematical Society Lecture Note Series 295, 60-88 (2003).
Reviewer: Nabil L. Youssef (Giza)
Noncommutative extended waves and soliton-like configurations in \(N=2\) string theory. (English) Zbl 1061.81061
Topological solutions in the self-dual Chern-Simons-Higgs theory in a background metric. (English) Zbl 1034.83019
On symmetries and cohomological invariants of equations possessing flat representations. (English) Zbl 1029.37050
Nontopological \(N\)-vortex condensates for the self-dual Chern-Simons theory. (English) Zbl 1032.58005
Multiple instantons representing higher-order Chern-Pontryagin classes, II. (English) Zbl 1149.53308
Non-topological solutions in the generalized self-dual Chern-Simons-Higgs theory. (English) Zbl 1080.35021
Reviewer: Michael G. Eastwood (Adelaide)
Isomonodromy deformations and twistor theory. (English) Zbl 1036.34107
Guest, Martin (ed.) et al., Integrable systems, topology, and physics. A conference on integrable systems in differential geometry, University of Tokyo, Japan, July 17–21, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2939-4/pbk). Contemp. Math. 309, 185-193 (2002).
A topological existence proof for \(SO(n)\)-anti-self-dual connections. (English) Zbl 1010.57012
Reviewer: Steven Bradlow (Urbana)
MSC:
57R57
57N13
Partially-flat gauge fields on manifolds of dimension greater than four. (English) Zbl 1019.81039
Alekseevsky, Dmitri V. et al., Proceedings of the workshop on special geometric structures in string theory, Bonn, Germany, September 8-11, 2001. Bonn: Univ. Bonn, Mathematisches Institut, 8 p., electronic only (2001).
Explicit derivation of Yang-Mills self-dual solutions on non-commutative harmonic space. (English) Zbl 1011.81076
Instantons, Hilbert schemes and integrability. (English) Zbl 1017.81020
Pakuliak, Stanislav (ed.) et al., Integrable structures of exactly solvable two-dimensional models of quantum field theory. Proceedings of the NATO Advanced Research workshop on dynamical symmetries of integrable quantum field theory and lattice models, Kiev, Ukraine, September 25-30, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 35, 35-54 (2001).
Solvable models of relativistic charged spherically symmetric fluids. (English) Zbl 0981.83015
Reviewer: Steven Duplij (Kharkov)
The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory. (English) Zbl 1002.58015
Reviewer: M.G.Eastwood (Adelaide)
Vortex condensates for the SU(3) Chern-Simons theory. (English) Zbl 0998.81047
Reviewer: M.G.Eastwood (Adelaide)
A note on the appearance of self-dual Yang-Mills fields in integrable hierarchies. (English) Zbl 0970.35131
Applications of Darboux transformations to the self-dual Yang-Mills equations. (English. Russian original) Zbl 0971.53022
Theor. Math. Phys. 122, No. 2, 239-247 (2000); translation from Teor. Mat. Fiz. 122, No. 2, 284-293 (2000).
Reviewer: Jesus Hernandez (Madrid)
Vortices in the Maxwell-Chern-Simons theory. (English) Zbl 1029.35207
Reviewer: Vladimir Balan (Bucureşti)
Self-dual Yang-Mills: Symmetries and moduli space. (English) Zbl 0994.53013
Reviewer: Akira Asada (Takarazuka)
Self-dual vortices in a Maxwell-Chern-Simons model with nonminimal coupling. (English) Zbl 0938.81024
MSC:
81T13
Reduction of the self-dual Yang-Mills equations by Bessel and Legendre functions. (English) Zbl 0941.35086
Moyal-Nahm equations. (English) Zbl 0952.53042
Reviewer: Samir Musayev (Baku)
Implementation of an iterative map in the construction of (quasi)periodic instantons: chaotic aspects and discontinuous rotation numbers. (English) Zbl 0960.81054
Self-dual Einstein spaces and a discrete Tzitzeica equation. A permutability theorem link. (English) Zbl 0924.35158
Clarkson, Peter A. (ed.) et al., Symmetries and integrability of difference equations. Proceedings of the 2nd international conference, Canterbury, UK, July 1–5, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 255, 137-148 (1999).
Bilinear form approach to the self-dual Yang-Mills equations and integrable systems in \((2+1)\)-dimension. (English) Zbl 0947.37044
Integrable systems in Riemannian geometry. (English) Zbl 0939.37039
Terng, Chuu Lian (ed.) et al., Surveys in differential geometry. Vol. IV. A supplement to the Journal of Differential Geometry. Integral systems (integrable systems). Lectures on geometry and topology. Cambridge, MA: International Press. 21-81 (1998).
Reviewer: Satyanad Kichenassamy (Reims)
Nonlinear problems in field theories. (English) Zbl 0932.70021
Chae, Dongho (ed.) et al., Proceedings of international workshop on Mathematical and physical aspects of nonlinear field theories, Seoul National University, Seoul, Korea, February 23–24, 1998. Seoul: Seoul National Univ. Lect. Notes Ser., Seoul. 42, 1-25 (1998).
Self-dual metrics from soliton equations. (English) Zbl 0924.35182
Wójcik, Daniel (ed.) et al., Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21–28, 1995. Warszawa: Polish Scientific Publishers PWN. 237-243 (1998).
On infinite-dimensional algebras of symmetries of the self-dual Yang-Mills equations. (English) Zbl 0905.53021
Super-matrix KdV and super-generalized NS equations from self-dual Yang-Mills systems with supergauge groups. (English) Zbl 0909.35121
Reduction of self-dual Yang-Mills systems and super nonlinear Schrödinger equations. (English) Zbl 0902.35109
Aratyn, Henrik (ed.) et al., Supersymmetry and integrable models. Proceedings of a workshop, Chicago, IL, USA, June 12-14, 1997. Berlin: Springer. Lect. Notes Phys. 502, 257-267 (1998).
On multivortex solutions in Chern-Simons gauge theory. (English) Zbl 0912.58046
Reviewer: V.Perlick (Berlin)
Reduction of self-dual Yang-Mills equations with respect to subgroups of the extended Poincaré group. (English. Russian original) Zbl 0911.53051
Theor. Math. Phys. 110, No. 3, 329-342 (1997); translation from Teor. Mat. Fiz. 110, No. 3, 416-432 (1997).
Nonlinear waves, solitons and IST. (English) Zbl 0901.35095
Kosmann-Schwarzbach, Yvette (ed.) et al., Integrability of nonlinear systems. Proceedings of the CIMPA school, Pondicherry Univ., India, January 8–26, 1996. Berlin: Springer. Lect. Notes Phys. 495, 5-29 (1997).
Extended double soliton solution families for the statically axisymmetric self-dual \(SU(2)\) gauge field equations. (English) Zbl 0887.58022
Solution and ellipticity properties of the self duality equations of Corrigan et al. in eight dimensions. (English) Zbl 0865.58055
The KZ equation and the quantum-group difference equation in quantum self-dual Yang-Mills theory. (English) Zbl 0869.39002
Existence theorems for periodic non-relativistic Maxwell-Chern-Simons solitons. (English) Zbl 0848.35110
The classification of self-dual Bianchi metrics. (English) Zbl 0852.53030
Reviewer: V.Abramov (Tartu)
The super self-dual matreoshka. (English) Zbl 0846.53057
Baulieu, Laurent (ed.) et al., Quantum field theory and string theory. Proceedings of a NATO advanced research workshop on new developments in string theory, conformal models, and topological field theory, in Cargèse, France, May 10-21, 1993. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 328, 87-98 (1995).
Some reductions of the self-dual Yang-Mills equations to integrable systems in \(2+1\) dimensions. (English) Zbl 0824.58054
Inverse scattering transform method for the Zakharov-Manakov system. (English. Russian original) Zbl 0868.35082
J. Math. Sci., New York 83, No. 1, 93-105 (1997); translation from Zap. Nauchn. Semin. POMI 209, 150-167 (1994).
\(N\)-soliton-type solutions of the self-dual Yang-Mills equations in \(M^ 4\). (English) Zbl 0851.53015
Theor. Math. Phys. 99, No. 2, 523-530 (1994) and Teor. Mat. Fiz. 99, No. 2, 201-210 (1994).
Reviewer: Wang Cun-Zheng (Chengdu)
Nonassociative algebras in physics. (English) Zbl 0840.17001
Hadronic Press Monographs in Mathematics. Palm Harbor, FL: Hadronic Press, Inc. xiv, 271 p. (1994).
Reviewer: Alberto Elduque (Zaragoza)
Lax pair, conserved currents, and hidden symmetry transformation for the Ernst equation. (English) Zbl 0879.58034
The homotopy type of gauge theoretic moduli spaces. (English) Zbl 0799.57019
Carlsson, G. E. (ed.) et al., Algebraic topology and its applications. New York: Springer-Verlag. Math. Sci. Res. Inst. Publ. 27, 15-55 (1994).
Reviewer: D.H.Gottlieb (Lafayette)
Lax pair, conserved currents, and hidden symmetry transformation for the Ernst equation. (English) Zbl 0879.58035
Phys. Lett., A 190, No. 5-6, 407-411 (1994); errata 194, No. 5-6, 425 (1994).
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