G. P. Jorjadze, A. K. Pogrebkov, M. K. Polivanov, “Singular solutions of the equation $\Box\varphi+(m^2/2)\exp\varphi=0$ and dynamics of singularities”, TMF, 40:2 (1979), 221–234; Theoret. and Math. Phys., 40:2 (1979), 706

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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 40, Number 2, Pages 221–234 (Mi tmf2889)

This article is cited in 38 scientific papers (total in 38 papers)

Singular solutions of the equation

$\Box\varphi+(m^2/2)\exp\varphi=0$ and dynamics of singularities

G. P. Jorjadze, A. K. Pogrebkov, M. K. Polivanov

Full-text PDF (2217 kB) Citations (38)

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Abstract: Solutions of the Liouville equation with singularities are studied. The solutions are interpreted geometrically and their topological invariants found. Dynamical systems describing the motion of singularities are considered. Some simple examples are described in detail.

Received: 16.04.1979

English version:
Theoretical and Mathematical Physics, 1979, Volume 40, Issue 2, Pages 706–715
DOI: https://doi.org/10.1007/BF01018719

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: G. P. Jorjadze, A. K. Pogrebkov, M. K. Polivanov, “Singular solutions of the equation

$\Box\varphi+(m^2/2)\exp\varphi=0$ and dynamics of singularities”, TMF, 40:2 (1979), 221–234; Theoret. and Math. Phys., 40:2 (1979), 706–715

Citation in format AMSBIB

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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf2889

https://www.mathnet.ru/eng/tmf/v40/i2/p221

This publication is cited in the following 38 articles:

S C Mancas, K R Acharya, H C Rosu, “Liouville soliton surfaces obtained using Darboux transformations”, Phys. Scr., 98:7 (2023), 075227
Chantelle Esper, Sergey Frolov, “ $T\overline{T}$ deformations of non-relativistic models”, JHEP, 2021:6 (2021), 101–34
V. I. Fedorchuk, “On the Invariant Solutions of Some Five-Dimensional D'alembert Equations”, J Math Sci, 220:1 (2017), 27
Talalov S.V., “Planar String as an Anyon Model: Cusps, Braids and Soliton Exitations”, 7th International Conference on Quantum Theory and Symmetries (Qts7), Journal of Physics Conference Series, 343, IOP Publishing Ltd, 2012, 012121
S. V. Talalov, “Description of braids in terms of first-order spectral problems”, Theoret. and Math. Phys., 159:1 (2009), 469–473
Jorjadze, G, “Singular Liouville fields and spiky strings in R-1,R-2 and SL(2, R)”, Journal of High Energy Physics, 2009, no. 10, 092
George Jorjadze, “Singular Liouville fields and spiky strings in ℝ1,2and SL(2,ℝ)”, J. High Energy Phys., 2009:10 (2009), 092
Antal Jevicki, Kewang Jin, “Moduli dynamics of AdS3strings”, J. High Energy Phys., 2009:06 (2009), 064
V. De Alfaro, A. T. Filippov, “Dimensional reduction of gravity and relation between static states, cosmologies, and waves”, Theoret. and Math. Phys., 153:3 (2007), 1709–1731
Bernal, J, “Soliton-like structures and the connection between the Bq and KP equations”, Chaos Solitons & Fractals, 17:5 (2003), 951
Jorjadze, G, “Poisson structure and Moyal quantisation of the Liouville theory”, Nuclear Physics B, 619:1–3 (2001), 232
Kalyakin, LA, “Liouville equation under perturbation”, Inverse Problems, 17:4 (2001), 879
L. A. Kalyakin, “Asymptotic decay of solutions of the Liouville equation under perturbations”, Math. Notes, 68:2 (2000), 173–184
S. V. Talalov, “Geometric description of a relativistic string”, Theoret. and Math. Phys., 123:1 (2000), 446–450
G. P. Jorjadze, W. Piechocki, “A relativistic particle in the Liouville field”, Theoret. and Math. Phys., 118:2 (1999), 183–196
L. A. Kalyakin, “Perturbation of a singular solution to the Liouville equation”, Theoret. and Math. Phys., 118:3 (1999), 307–313
Zloshchastiev, KG, “Zero-brane approach to the study of particle-like solitons in classical and quantum Liouville field theory”, Journal of Physics G-Nuclear and Particle Physics, 25:11 (1999), 2177
S. V. Klimenko, I. N. Nikitin, “Singularities on world sheets of open relativistic strings”, Theoret. and Math. Phys., 114:3 (1998), 299–312
J. BALOG, L. FEHÉR, L. PALLA, “COADJOINT ORBITS OF THE VIRASORO ALGEBRA AND THE GLOBAL LIOUVILLE EQUATION”, Int. J. Mod. Phys. A, 13:02 (1998), 315
L. Martina, O. K. Pashaev, G. Soliani, “Bright solitons as black holes”, Phys. Rev. D, 58:8 (1998)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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