Edit Profile (opens in new tab) Pogrebkov, Andrei K. Compute Distance To: Compute Author ID: pogrebkov.andrei-k Published as: Pogrebkov, A. K.; Pogrebkov, A.; Pogrebkov, Andrei K.; Pogrebkov, Andrei External Links: ORCID Documents Indexed: 86 Publications since 1978 2 Contributions as Editor Co-Authors: 42 Co-Authors with 64 Joint Publications 1,627 Co-Co-Authors all top 5 Co-Authors 24 single-authored 32 Boiti, Marco 32 Pempinelli, Flora 15 Polivanov, M. K. 13 Prinari, Barbara 12 Arkad’ev, V. A. 9 Polivanov, M. C. 5 Jorjadze, George 3 Garagash, T. I. 3 Kulaev, Ruslan Chermenovich 2 Martina, Luigi 2 Novikov, Sergeĭ Petrovich 2 Shabat, Alekseĭ Borisovich 1 Adler, Vsevolod Eduardovich 1 Askhabov, Sultan Nazhmudinovich 1 Beccaria, Matteo 1 Bukhshtaber, Viktor Matveevich 1 Chekhov, Leonid O. 1 Dobrokhotov, Sergei Yurievich 1 Fokas, Athanassios S. 1 Grinevich, Pëtr Georgievich 1 Grushevsky, S. M. 1 Konopelchenko, Boris Georgievich 1 Kusraev, Anatoly Georgievich 1 Kutateladze, Semën Samsonovich 1 Landolfi, Giulio 1 Marshakov, Andrei V. 1 Mironov, Andreĭ Evgen’evich 1 Mokhov, Oleg I. 1 Nekrasov, Nikita Alexandrovich 1 Okun’kov, Andreĭ Yur’evich 1 Olshanetsky, Mikhail A. 1 Prati, M. C. 1 Reshetnyak, Yuriĭ Grigor’evich 1 Sheĭnman, Oleg Karlovich 1 Shlosman, Senya B. 1 Taimanov, Iskander Asanovich 1 Talalov, Sergeĭ Vladimirovich 1 Todorov, Ivan T. 1 Tsfasman, Michael A. 1 Varchenko, Alexander Nikolaevich 1 Veselov, Alexander Petrovich 1 Zabrodin, Anton V. all top 5 Serials 27 Theoretical and Mathematical Physics 7 Inverse Problems 5 Journal of Mathematical Physics 4 Teoreticheskaya i Matematicheskaya Fizika 3 Russian Mathematical Surveys 3 Soviet Physics. Doklady 2 Letters in Mathematical Physics 2 Physica D 2 Journal of Physics A: Mathematical and General 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 1 Nonlinearity 1 Physics Letters. A 1 Soviet Scientific Reviews. Section C 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Journal of Soviet Mathematics 1 Acta Applicandae Mathematicae 1 Russian Mathematics 1 St. Petersburg Mathematical Journal 1 Journal of Nonlinear Mathematical Physics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Physics A: Mathematical and Theoretical 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Symmetry all top 5 Fields 68 Partial differential equations (35-XX) 47 Dynamical systems and ergodic theory (37-XX) 19 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Associative rings and algebras (16-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 381 times in 204 Documents Cited by ▼ Year ▼ Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation. Zbl 0698.35150Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. C. 33 1989 Towards an inverse scattering theory for non-decaying potentials of the heat equation. Zbl 0988.35140Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 22 2001 Inverse scattering transform for the KPI equation on the background of a one-line soliton. Zbl 1033.35097Fokas, A. S.; Pogrebkov, A. K. 20 2003 Properties of solutions of the Kadomtsev-Petviashvili I equation. Zbl 0814.35116Boiti, M.; Pempinelli, F.; Pogrebkov, A. 17 1994 Solutions of the KPI equation with smooth initial data. Zbl 0806.35152Boiti, M.; Pempinelli, F.; Pogrebkov, A. 15 1994 Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation. Zbl 0806.35131Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 14 1992 Resolvent approach for the non-stationary Schrödinger equation. Zbl 0755.35109Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 14 1992 Inverse scattering theory of the heat equation for a perturbed one-soliton potential. Zbl 1059.35112Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 13 2002 Singular solutions of the equation (d’Alembert operator) \(\phi+(m^ 2/2)\exp \phi=0\) and dynamics of singularities. Zbl 0453.35058Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 13 1980 Commutator identities on associative algebras and the integrability of nonlinear revolution equations. Zbl 1192.81191Pogrebkov, A. K. 11 2008 Singular solutions of the KdV equation and the inverse scattering method. Zbl 0571.35094Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 9 1984 Building an extended resolvent of the heat operator via twisting transformations. Zbl 1176.35048Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 8 2009 The equivalence of different approaches for generating multisoliton solutions of the KPII equation. Zbl 1256.35112Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 8 2010 The boson-fermion correspondence and quantum integrable and dispersionless models. Zbl 1063.81065Pogrebkov, A. K. 8 2003 Singular solitons: An example of a sinh-Gordon equation. Zbl 0471.35057Pogrebkov, A. K. 8 1981 Hirota difference equation and a commutator identity on an associative algebra. Zbl 1222.37073Pogrebkov, A. K. 7 2011 Extended resolvent and inverse scattering with an application to KPI. Zbl 1062.37088Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 7 2003 The Liouville and Sinh-Gordon equations. Singular solutions, dynamics of singularities and the inverse problem method. Zbl 0604.70032Pogrebkov, A. K.; Polivanov, M. K. 7 1985 Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions. Zbl 1272.35108Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 6 2011 On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential. Zbl 1091.81015Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 6 2006 Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations. Zbl 0850.35094Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 6 1994 Solving the Kadomtsev-Petviashvili equation with initial data non vanishing at large distances. Zbl 0879.35133Boiti, M.; Pempinelli, F.; Pogrebkov, A. 6 1997 2D Toda chain and associated commutator identity. Zbl 1151.37053Pogrebkov, A. K. 6 2008 Commutator identities on associative algebras, the non-abelian Hirota difference equation and its reductions. Zbl 1346.37056Pogrebkov, A. K. 6 2016 New features of Bäcklund and Darboux transformations in \(2+1\) dimensions. Zbl 0726.58042Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 6 1991 Application of inverse scattering method to singular solutions of nonlinear equations. I. Zbl 0549.35106Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 5 1983 Resolvent approach for the nonstationary Schrödinger equation (standard case of rapidly decreasing potential). Zbl 0941.35503Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 5 1992 Liouville field theory: IST and Poisson bracket structure. Zbl 0597.58044Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. C.; Talalov, S. V. 5 1986 Symmetries of the Hirota difference equation. Zbl 1372.35267Pogrebkov, Andrei K. 5 2017 General solutions of the Cauchy problem for the Liouville equation \(\varphi_{tt}(t,x)-\varphi_{xx}(t,x)=(1/2)m \exp\varphi (t,x)\). Zbl 0417.35068Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 5 1978 Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed \(N\)-soliton potential. Zbl 1112.37068Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 4 2006 Extended resolvent of the heat operator with a multisoliton potential. Zbl 1341.37034Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 4 2012 Towards an inverse scattering theory for two-dimensional nondecaying potentials. Zbl 0951.35118Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 4 1998 Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B. 4 2018 Closed string-like solutions of the Davey-Stewartson equation. Zbl 0694.35143Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. C. 4 1989 Inverse scattering transform for the perturbed 1-soliton potential of the heat equation. Zbl 0969.35519Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 4 2001 The KPI equation with unconstrained initial data. Zbl 0830.35113Boiti, M.; Pempinelli, F.; Pogrebkov, A. 3 1995 Scattering problem for the differential operator \(\partial_ x\partial_ y+1+a(x,y)\partial_ y+b(x+y)\). Zbl 0856.35096Garagash, T. I.; Pogrebkov, A. K. 3 1995 Singular solutions of the KdV equation and the inverse scattering method. Zbl 0599.35126Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 3 1985 Complete integrability of dynamical systems generated by singular solutions of Liouville’s equation. Zbl 0461.35083Pogrebkov, A. K. 3 1981 On the formulation of the Painlevé test as a criterion of complete integrability of partial differential equations. Zbl 0692.35141Pogrebkov, A. K. 3 1989 Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II. Zbl 0717.34030Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 3 1988 Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I. Zbl 0653.34017Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 3 1987 Dressing of a two-dimensional nontrivial potential. Zbl 1194.35398Boiti, M.; Pempinelli, F.; Pogrebkov, A. 2 1995 Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential. Zbl 1178.37096Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 2 2005 On time evolutions associated with the nonstationary Schrödinger equation. Zbl 0981.37027Pogrebkov, A. K. 2 2000 Application of inverse scattering method to singular solutions of nonlinear equations. II. Zbl 0586.35075Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 2 1983 Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons. Zbl 1317.81252Pogrebkov, A. K. 2 2014 Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B. 2 2018 Cauchy-Jost function and hierarchy of integrable equations. Zbl 1339.37049Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 2 2015 IST of KPII equation for perturbed multisoliton solutions. Zbl 1360.37164Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 2 2014 Expansion with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I. Zbl 0633.34017Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 2 1987 Nonlinear equations for fields radiated by particles. Zbl 0545.35059Pogrebkov, A. K. 1 1982 Hierarchy of quantum explicitly solvable and integrable models. Zbl 1330.81190Pogrebkov, A. K. 1 2006 Spectral theory of solitons on a generic background for the KPI equation. Zbl 0941.35534Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 1 1996 Some nondecaying potentials for the heat conduction equation. Zbl 0966.35113Boiti, M.; Pempinelli, F.; Prinari, B.; Pogrebkov, A. K. 1 2000 Global solution of the Liouville equation \(\phi_{tt} - \phi_{xx} + 1/2 \exp(\phi) = 0\) in a class of distributions. Zbl 0513.35051Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 1 1981 Higher Hirota difference equations and their reductions. Zbl 1429.39011Pogrebkov, A. K. 1 2018 Induced dynamics. Zbl 1436.37081Pogrebkov, A. K. 1 2020 Relativistic Hamiltonian dynamics of singularities of the Liouville equation. Zbl 0539.35068Pogrebkov, A. K.; Todorov, I. T. 1 1983 Commutator identities and integrable hierarchies. Zbl 1460.37066Pogrebkov, A. K. 1 2020 Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II. Zbl 0665.34026Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 1 1988 Bäcklund and Darboux transformations for the nonstationary Schrödinger equation. Zbl 1056.37511Boiti, M.; Pempinelli, F.; Pogrebkov, A.; Prinari, B. 1 1999 Discrete Schrödinger equation on a finite field and associated cellular automaton. Zbl 0979.37033Pogrebkov, A. K. 1 1999 KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matrices. Zbl 1373.37155Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 1 2017 Singular solutions of the equation \(\square\varphi +(m^2/2)\exp\varphi=O\) and the dynamics of singularities. Zbl 0415.35053Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 1 1979 Quantizing the KdV equation. Zbl 1038.81033Pogrebkov, A. K. 1 2001 Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation. Zbl 0941.35091Garagash, T. I.; Pogrebkov, A. K. 1 1996 Liouville field theory. Zbl 0636.35079Pogrebkov, A. K.; Polivanov, M. K. 1 1988 Induced dynamics. Zbl 1436.37081Pogrebkov, A. K. 1 2020 Commutator identities and integrable hierarchies. Zbl 1460.37066Pogrebkov, A. K. 1 2020 Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B. 4 2018 Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B. 2 2018 Higher Hirota difference equations and their reductions. Zbl 1429.39011Pogrebkov, A. K. 1 2018 Symmetries of the Hirota difference equation. Zbl 1372.35267Pogrebkov, Andrei K. 5 2017 KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matrices. Zbl 1373.37155Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 1 2017 Commutator identities on associative algebras, the non-abelian Hirota difference equation and its reductions. Zbl 1346.37056Pogrebkov, A. K. 6 2016 Cauchy-Jost function and hierarchy of integrable equations. Zbl 1339.37049Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 2 2015 Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons. Zbl 1317.81252Pogrebkov, A. K. 2 2014 IST of KPII equation for perturbed multisoliton solutions. Zbl 1360.37164Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 2 2014 Extended resolvent of the heat operator with a multisoliton potential. Zbl 1341.37034Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 4 2012 Hirota difference equation and a commutator identity on an associative algebra. Zbl 1222.37073Pogrebkov, A. K. 7 2011 Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions. Zbl 1272.35108Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 6 2011 The equivalence of different approaches for generating multisoliton solutions of the KPII equation. Zbl 1256.35112Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 8 2010 Building an extended resolvent of the heat operator via twisting transformations. Zbl 1176.35048Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 8 2009 Commutator identities on associative algebras and the integrability of nonlinear revolution equations. Zbl 1192.81191Pogrebkov, A. K. 11 2008 2D Toda chain and associated commutator identity. Zbl 1151.37053Pogrebkov, A. K. 6 2008 On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential. Zbl 1091.81015Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 6 2006 Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed \(N\)-soliton potential. Zbl 1112.37068Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 4 2006 Hierarchy of quantum explicitly solvable and integrable models. Zbl 1330.81190Pogrebkov, A. K. 1 2006 Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential. Zbl 1178.37096Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 2 2005 Inverse scattering transform for the KPI equation on the background of a one-line soliton. Zbl 1033.35097Fokas, A. S.; Pogrebkov, A. K. 20 2003 The boson-fermion correspondence and quantum integrable and dispersionless models. Zbl 1063.81065Pogrebkov, A. K. 8 2003 Extended resolvent and inverse scattering with an application to KPI. Zbl 1062.37088Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 7 2003 Inverse scattering theory of the heat equation for a perturbed one-soliton potential. Zbl 1059.35112Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 13 2002 Towards an inverse scattering theory for non-decaying potentials of the heat equation. Zbl 0988.35140Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 22 2001 Inverse scattering transform for the perturbed 1-soliton potential of the heat equation. Zbl 0969.35519Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 4 2001 Quantizing the KdV equation. Zbl 1038.81033Pogrebkov, A. K. 1 2001 On time evolutions associated with the nonstationary Schrödinger equation. Zbl 0981.37027Pogrebkov, A. K. 2 2000 Some nondecaying potentials for the heat conduction equation. Zbl 0966.35113Boiti, M.; Pempinelli, F.; Prinari, B.; Pogrebkov, A. K. 1 2000 Bäcklund and Darboux transformations for the nonstationary Schrödinger equation. Zbl 1056.37511Boiti, M.; Pempinelli, F.; Pogrebkov, A.; Prinari, B. 1 1999 Discrete Schrödinger equation on a finite field and associated cellular automaton. Zbl 0979.37033Pogrebkov, A. K. 1 1999 Towards an inverse scattering theory for two-dimensional nondecaying potentials. Zbl 0951.35118Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. 4 1998 Solving the Kadomtsev-Petviashvili equation with initial data non vanishing at large distances. Zbl 0879.35133Boiti, M.; Pempinelli, F.; Pogrebkov, A. 6 1997 Spectral theory of solitons on a generic background for the KPI equation. Zbl 0941.35534Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 1 1996 Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation. Zbl 0941.35091Garagash, T. I.; Pogrebkov, A. K. 1 1996 The KPI equation with unconstrained initial data. Zbl 0830.35113Boiti, M.; Pempinelli, F.; Pogrebkov, A. 3 1995 Scattering problem for the differential operator \(\partial_ x\partial_ y+1+a(x,y)\partial_ y+b(x+y)\). Zbl 0856.35096Garagash, T. I.; Pogrebkov, A. K. 3 1995 Dressing of a two-dimensional nontrivial potential. Zbl 1194.35398Boiti, M.; Pempinelli, F.; Pogrebkov, A. 2 1995 Properties of solutions of the Kadomtsev-Petviashvili I equation. Zbl 0814.35116Boiti, M.; Pempinelli, F.; Pogrebkov, A. 17 1994 Solutions of the KPI equation with smooth initial data. Zbl 0806.35152Boiti, M.; Pempinelli, F.; Pogrebkov, A. 15 1994 Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations. Zbl 0850.35094Boiti, M.; Pempinelli, F.; Pogrebkov, A. K. 6 1994 Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation. Zbl 0806.35131Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 14 1992 Resolvent approach for the non-stationary Schrödinger equation. Zbl 0755.35109Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 14 1992 Resolvent approach for the nonstationary Schrödinger equation (standard case of rapidly decreasing potential). Zbl 0941.35503Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 5 1992 New features of Bäcklund and Darboux transformations in \(2+1\) dimensions. Zbl 0726.58042Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C. 6 1991 Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation. Zbl 0698.35150Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. C. 33 1989 Closed string-like solutions of the Davey-Stewartson equation. Zbl 0694.35143Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. C. 4 1989 On the formulation of the Painlevé test as a criterion of complete integrability of partial differential equations. Zbl 0692.35141Pogrebkov, A. K. 3 1989 Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II. Zbl 0717.34030Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 3 1988 Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II. Zbl 0665.34026Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 1 1988 Liouville field theory. Zbl 0636.35079Pogrebkov, A. K.; Polivanov, M. K. 1 1988 Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I. Zbl 0653.34017Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 3 1987 Expansion with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I. Zbl 0633.34017Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 2 1987 Liouville field theory: IST and Poisson bracket structure. Zbl 0597.58044Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. C.; Talalov, S. V. 5 1986 The Liouville and Sinh-Gordon equations. Singular solutions, dynamics of singularities and the inverse problem method. Zbl 0604.70032Pogrebkov, A. K.; Polivanov, M. K. 7 1985 Singular solutions of the KdV equation and the inverse scattering method. Zbl 0599.35126Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 3 1985 Singular solutions of the KdV equation and the inverse scattering method. Zbl 0571.35094Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 9 1984 Application of inverse scattering method to singular solutions of nonlinear equations. I. Zbl 0549.35106Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 5 1983 Application of inverse scattering method to singular solutions of nonlinear equations. II. Zbl 0586.35075Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K. 2 1983 Relativistic Hamiltonian dynamics of singularities of the Liouville equation. Zbl 0539.35068Pogrebkov, A. K.; Todorov, I. T. 1 1983 Nonlinear equations for fields radiated by particles. Zbl 0545.35059Pogrebkov, A. K. 1 1982 Singular solitons: An example of a sinh-Gordon equation. Zbl 0471.35057Pogrebkov, A. K. 8 1981 Complete integrability of dynamical systems generated by singular solutions of Liouville’s equation. Zbl 0461.35083Pogrebkov, A. K. 3 1981 Global solution of the Liouville equation \(\phi_{tt} - \phi_{xx} + 1/2 \exp(\phi) = 0\) in a class of distributions. Zbl 0513.35051Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 1 1981 Singular solutions of the equation (d’Alembert operator) \(\phi+(m^ 2/2)\exp \phi=0\) and dynamics of singularities. Zbl 0453.35058Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 13 1980 Singular solutions of the equation \(\square\varphi +(m^2/2)\exp\varphi=O\) and the dynamics of singularities. Zbl 0415.35053Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 1 1979 General solutions of the Cauchy problem for the Liouville equation \(\varphi_{tt}(t,x)-\varphi_{xx}(t,x)=(1/2)m \exp\varphi (t,x)\). Zbl 0417.35068Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K. 5 1978 all cited Publications top 5 cited Publications all top 5 Cited by 216 Authors 35 Pogrebkov, Andrei K. 14 Boiti, Marco 14 Pempinelli, Flora 9 Grinevich, Pëtr Georgievich 9 He, Jingsong 8 Klein, Christian 7 Saut, Jean-Claude 6 Prinari, Barbara 6 Talalov, Sergeĭ Vladimirovich 5 Fokas, Athanassios S. 5 Rao, Jiguang 4 Abenda, Simonetta 4 Cheng, Yi 4 Garagash, T. I. 4 Khabibullin, Ismagil Talgatovich 4 Kalyakin, Leonid Anatol’evich 4 Kulaev, Ruslan Chermenovich 4 Shabat, Alekseĭ Borisovich 3 Biondini, Gino 3 Gil’, Michael Iosif 3 Prada, Julia 3 Sakhnovich, Alexander L. 3 Santini, Paolo Maria 3 Villarroel, Javier 2 Ablowitz, Mark Jay 2 Arkad’ev, V. A. 2 Chakravarty, Sarbarish 2 Dai, Zhengde 2 de Alfaro, Vittorio 2 Dubrovin, Boris Anatol’evich 2 Estévez, Pilar G. 2 Filippov, Alexandre Tikhonovich 2 Fritzsche, Bernd 2 Gadyl’shin, Rustem R. 2 Grava, Tamara 2 Kirstein, Bernd 2 Koroteev, Peter 2 Ma, Wen-Xiu 2 Mihalache, Dumitru 2 Molinet, Luc 2 Novikov, Sergeĭ Petrovich 2 Pokhozhaev, Stanislav I. 2 Polivanov, M. K. 2 Poptsova, Mariya Nikolaevna 2 Porsezian, Kuppusamy 2 Samoĭlenko, Yuliya Ivanivna 2 Samoĭlenko, Valeriĭ Grygorovych 2 Sciarappa, Antonio 2 Tzvetkov, Nikolay 2 Wu, Derchyi 2 Yurov, Artyom V. 2 Zarmi, Yair 2 Zharinov, Victor Victorovich 1 Adomian, George 1 Babaoglu, Ceni 1 Balog, János 1 Belokurov, Vladimir Viktorovich 1 Besse, Christophe 1 Beutler, Roland 1 Bica, Ion 1 Borisov, Aleksandr Borisovich 1 Brown, Russell Murray 1 Bukhshtaber, Viktor Matveevich 1 Carroll, Robert Wayne 1 Cerveró, José M. 1 Chabchoub, Amin 1 Chen, Yong 1 Clarkson, Peter A. 1 Constantin, Adrian 1 Cui, Shangbin 1 Deng, Gao-Fu 1 Ding, Cui-Cui 1 Dobrokhotov, Sergei Yurievich 1 Du, Yukun 1 Dubrovsky, V. G. 1 Dzhokhadze, Otar Mikhajlovich 1 Eden, Alp 1 Esper, Chantelle 1 Fehér, László Gy. 1 Finkel, Federico 1 Fuchssteiner, Benno 1 Gao, Yali 1 Gao, Yitian 1 Gavrylenko, Pavlo 1 Gerdzhikov, Vladimir Stefanov 1 Gesztesy, Fritz 1 Ghidaglia, Jean-Michel 1 González-López, Artemio 1 Gorodtsov, Valentin A. 1 Guil, Francisco 1 Guo, Cuihua 1 Guo, Lijuan 1 Gürel, T. Burak 1 Han, Bo 1 He, Xue-Jiao 1 Hoefer, Mark A. 1 Horowitz, Shai 1 Ivanov, Rossen I. 1 Jackiw, Roman W. 1 Jia, Tingting ...and 116 more Authors all top 5 Cited in 66 Serials 54 Theoretical and Mathematical Physics 20 Journal of Mathematical Physics 7 Studies in Applied Mathematics 7 Physica D 6 Letters in Mathematical Physics 5 Journal of Nonlinear Science 4 Applicable Analysis 4 Communications in Mathematical Physics 4 Nonlinear Dynamics 4 Journal of Nonlinear Mathematical Physics 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Mathematical Notes 3 Nonlinearity 3 Applied Mathematics and Computation 3 Journal of Soviet Mathematics 3 Acta Applicandae Mathematicae 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Journal of Modern Physics A 2 Physics Letters. A 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Applied Mathematics Letters 2 Russian Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 General Relativity and Gravitation 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Wave Motion 1 Journal of Geometry and Physics 1 Prikladnaya Matematika i Mekhanika 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Advances in Difference Equations 1 Asian-European Journal of Mathematics 1 Advances in Mathematical Physics 1 Annals of Functional Analysis 1 Symmetry all top 5 Cited in 33 Fields 146 Partial differential equations (35-XX) 99 Dynamical systems and ergodic theory (37-XX) 38 Quantum theory (81-XX) 12 Fluid mechanics (76-XX) 11 Difference and functional equations (39-XX) 10 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 8 Algebraic geometry (14-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Differential geometry (53-XX) 7 Relativity and gravitational theory (83-XX) 6 Nonassociative rings and algebras (17-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Special functions (33-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year