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Pogrebkov, Andrei K.

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Author ID: pogrebkov.andrei-k Recent zbMATH articles by "Pogrebkov, Andrei K."
Published as: Pogrebkov, A.; Pogrebkov, A. K.; Pogrebkov, Andrei; Pogrebkov, Andrei K.
External Links: ORCID
Documents Indexed: 86 Publications since 1978, including 1 Book

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Citations contained in zbMATH

68 Publications have been cited 356 times in 188 Documents Cited by Year
Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation. Zbl 0698.35150
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. C.
31
1989
Towards an inverse scattering theory for non-decaying potentials of the heat equation. Zbl 0988.35140
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
20
2001
Properties of solutions of the Kadomtsev-Petviashvili I equation. Zbl 0814.35116
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
16
1994
Inverse scattering transform for the KPI equation on the background of a one-line soliton. Zbl 1033.35097
Fokas, A. S.; Pogrebkov, A. K.
15
2003
Solutions of the KPI equation with smooth initial data. Zbl 0806.35152
Boiti, 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 0806.35131
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C.
14
1992
Resolvent approach for the non-stationary Schrödinger equation. Zbl 0755.35109
Boiti, 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 1059.35112
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
12
2002
Singular solutions of the equation (d’Alembert operator) \(\phi+(m^ 2/2)\exp \phi=0\) and dynamics of singularities. Zbl 0453.35058
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
12
1980
Commutator identities on associative algebras and the integrability of nonlinear revolution equations. Zbl 1192.81191
Pogrebkov, A. K.
9
2008
Singular solutions of the KdV equation and the inverse scattering method. Zbl 0571.35094
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
9
1984
The equivalence of different approaches for generating multisoliton solutions of the KPII equation. Zbl 1256.35112
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
7
2010
Building an extended resolvent of the heat operator via twisting transformations. Zbl 1176.35048
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
7
2009
Extended resolvent and inverse scattering with an application to KPI. Zbl 1062.37088
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
7
2003
The boson-fermion correspondence and quantum integrable and dispersionless models. Zbl 1063.81065
Pogrebkov, A. K.
7
2003
The Liouville and Sinh-Gordon equations. Singular solutions, dynamics of singularities and the inverse problem method. Zbl 0604.70032
Pogrebkov, A. K.; Polivanov, M. K.
7
1985
Singular solitons: An example of a sinh-Gordon equation. Zbl 0471.35057
Pogrebkov, A. K.
7
1981
Hirota difference equation and a commutator identity on an associative algebra. Zbl 1222.37073
Pogrebkov, A. K.
6
2011
On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential. Zbl 1091.81015
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
6
2006
Solving the Kadomtsev-Petviashvili equation with initial data non vanishing at large distances. Zbl 0879.35133
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
6
1997
Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations. Zbl 0850.35094
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
6
1994
New features of Bäcklund and Darboux transformations in \(2+1\) dimensions. Zbl 0726.58042
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C.
6
1991
Symmetries of the Hirota difference equation. Zbl 1372.35267
Pogrebkov, Andrei K.
5
2017
Commutator identities on associative algebras, the non-abelian Hirota difference equation and its reductions. Zbl 1346.37056
Pogrebkov, A. K.
5
2016
Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions. Zbl 1272.35108
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
5
2011
2D Toda chain and associated commutator identity. Zbl 1151.37053
Pogrebkov, A. K.
5
2008
Inverse scattering transform for the perturbed 1-soliton potential of the heat equation. Zbl 0969.35519
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
5
2001
Resolvent approach for the nonstationary Schrödinger equation (standard case of rapidly decreasing potential). Zbl 0941.35503
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C.
5
1992
Liouville field theory: IST and Poisson bracket structure. Zbl 0597.58044
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. C.; Talalov, S. V.
5
1986
Application of inverse scattering method to singular solutions of nonlinear equations. I. Zbl 0549.35106
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
5
1983
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 0417.35068
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
5
1978
Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed \(N\)-soliton potential. Zbl 1112.37068
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
4
2006
Towards an inverse scattering theory for two-dimensional nondecaying potentials. Zbl 0951.35118
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
4
1998
Closed string-like solutions of the Davey-Stewartson equation. Zbl 0694.35143
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. C.
4
1989
Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
3
2018
Extended resolvent of the heat operator with a multisoliton potential. Zbl 1341.37034
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
3
2012
Scattering problem for the differential operator \(\partial_ x\partial_ y+1+a(x,y)\partial_ y+b(x+y)\). Zbl 0856.35096
Garagash, T. I.; Pogrebkov, A. K.
3
1995
The KPI equation with unconstrained initial data. Zbl 0830.35113
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
3
1995
On the formulation of the Painlevé test as a criterion of complete integrability of partial differential equations. Zbl 0692.35141
Pogrebkov, A. K.
3
1989
Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II. Zbl 0717.34030
Arkad’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 0653.34017
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
3
1987
Singular solutions of the KdV equation and the inverse scattering method. Zbl 0599.35126
Arkad’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 0461.35083
Pogrebkov, A. K.
3
1981
Cauchy-Jost function and hierarchy of integrable equations. Zbl 1339.37049
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
2
2015
Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons. Zbl 1317.81252
Pogrebkov, A. K.
2
2014
Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential. Zbl 1178.37096
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
2
2005
On time evolutions associated with the nonstationary Schrödinger equation. Zbl 0981.37027
Pogrebkov, A. K.
2
2000
Dressing of a two-dimensional nontrivial potential. Zbl 1194.35398
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
2
1995
Closed string-like solutions of the Davey-Stewartson equation. Zbl 0728.35124
Arkadiev, V. A.; Pogrebkov, A. K.; Polivanov, M. C.
2
1989
Expansion with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I. Zbl 0633.34017
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
2
1987
Application of inverse scattering method to singular solutions of nonlinear equations. II. Zbl 0586.35075
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
2
1983
Higher Hirota difference equations and their reductions. Zbl 1429.39011
Pogrebkov, A. K.
1
2018
Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
1
2018
KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matrices. Zbl 1373.37155
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
1
2017
IST of KPII equation for perturbed multisoliton solutions. Zbl 1360.37164
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
1
2014
Hierarchy of quantum explicitly solvable and integrable models. Zbl 1330.81190
Pogrebkov, A. K.
1
2006
Quantizing the KdV equation. Zbl 1038.81033
Pogrebkov, A. K.
1
2001
Some nondecaying potentials for the heat conduction equation. Zbl 0966.35113
Boiti, M.; Pempinelli, F.; Prinari, B.; Pogrebkov, A. K.
1
2000
Discrete Schrödinger equation on a finite field and associated cellular automaton. Zbl 0979.37033
Pogrebkov, A. K.
1
1999
Bäcklund and Darboux transformations for the nonstationary Schrödinger equation. Zbl 1056.37511
Boiti, M.; Pempinelli, F.; Pogrebkov, A.; Prinari, B.
1
1999
Spectral theory of solitons on a generic background for the KPI equation. Zbl 0941.35534
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
1
1996
Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation. Zbl 0941.35091
Garagash, T. I.; Pogrebkov, A. K.
1
1996
Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II. Zbl 0665.34026
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
1
1988
Liouville field theory. Zbl 0636.35079
Pogrebkov, A. K.; Polivanov, M. K.
1
1988
Relativistic Hamiltonian dynamics of singularities of the Liouville equation. Zbl 0539.35068
Pogrebkov, A. K.; Todorov, I. T.
1
1983
Nonlinear equations for fields radiated by particles. Zbl 0545.35059
Pogrebkov, A. K.
1
1982
Global solution of the Liouville equation \(\phi_{tt} - \phi_{xx} + 1/2 \exp(\phi) = 0\) in a class of distributions. Zbl 0513.35051
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
1
1981
Singular solutions of the equation \(\square\varphi +(m^2/2)\exp\varphi=O\) and the dynamics of singularities. Zbl 0415.35053
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
1
1979
Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
3
2018
Higher Hirota difference equations and their reductions. Zbl 1429.39011
Pogrebkov, A. K.
1
2018
Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
1
2018
Symmetries of the Hirota difference equation. Zbl 1372.35267
Pogrebkov, Andrei K.
5
2017
KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matrices. Zbl 1373.37155
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
1
2017
Commutator identities on associative algebras, the non-abelian Hirota difference equation and its reductions. Zbl 1346.37056
Pogrebkov, A. K.
5
2016
Cauchy-Jost function and hierarchy of integrable equations. Zbl 1339.37049
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
2
2015
Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons. Zbl 1317.81252
Pogrebkov, A. K.
2
2014
IST of KPII equation for perturbed multisoliton solutions. Zbl 1360.37164
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
1
2014
Extended resolvent of the heat operator with a multisoliton potential. Zbl 1341.37034
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
3
2012
Hirota difference equation and a commutator identity on an associative algebra. Zbl 1222.37073
Pogrebkov, A. K.
6
2011
Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions. Zbl 1272.35108
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
5
2011
The equivalence of different approaches for generating multisoliton solutions of the KPII equation. Zbl 1256.35112
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
7
2010
Building an extended resolvent of the heat operator via twisting transformations. Zbl 1176.35048
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
7
2009
Commutator identities on associative algebras and the integrability of nonlinear revolution equations. Zbl 1192.81191
Pogrebkov, A. K.
9
2008
2D Toda chain and associated commutator identity. Zbl 1151.37053
Pogrebkov, A. K.
5
2008
On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential. Zbl 1091.81015
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
6
2006
Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed \(N\)-soliton potential. Zbl 1112.37068
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
4
2006
Hierarchy of quantum explicitly solvable and integrable models. Zbl 1330.81190
Pogrebkov, A. K.
1
2006
Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential. Zbl 1178.37096
Boiti, 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 1033.35097
Fokas, A. S.; Pogrebkov, A. K.
15
2003
Extended resolvent and inverse scattering with an application to KPI. Zbl 1062.37088
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
7
2003
The boson-fermion correspondence and quantum integrable and dispersionless models. Zbl 1063.81065
Pogrebkov, A. K.
7
2003
Inverse scattering theory of the heat equation for a perturbed one-soliton potential. Zbl 1059.35112
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
12
2002
Towards an inverse scattering theory for non-decaying potentials of the heat equation. Zbl 0988.35140
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
20
2001
Inverse scattering transform for the perturbed 1-soliton potential of the heat equation. Zbl 0969.35519
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
5
2001
Quantizing the KdV equation. Zbl 1038.81033
Pogrebkov, A. K.
1
2001
On time evolutions associated with the nonstationary Schrödinger equation. Zbl 0981.37027
Pogrebkov, A. K.
2
2000
Some nondecaying potentials for the heat conduction equation. Zbl 0966.35113
Boiti, M.; Pempinelli, F.; Prinari, B.; Pogrebkov, A. K.
1
2000
Discrete Schrödinger equation on a finite field and associated cellular automaton. Zbl 0979.37033
Pogrebkov, A. K.
1
1999
Bäcklund and Darboux transformations for the nonstationary Schrödinger equation. Zbl 1056.37511
Boiti, M.; Pempinelli, F.; Pogrebkov, A.; Prinari, B.
1
1999
Towards an inverse scattering theory for two-dimensional nondecaying potentials. Zbl 0951.35118
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
4
1998
Solving the Kadomtsev-Petviashvili equation with initial data non vanishing at large distances. Zbl 0879.35133
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
6
1997
Spectral theory of solitons on a generic background for the KPI equation. Zbl 0941.35534
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
1
1996
Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation. Zbl 0941.35091
Garagash, T. I.; Pogrebkov, A. K.
1
1996
Scattering problem for the differential operator \(\partial_ x\partial_ y+1+a(x,y)\partial_ y+b(x+y)\). Zbl 0856.35096
Garagash, T. I.; Pogrebkov, A. K.
3
1995
The KPI equation with unconstrained initial data. Zbl 0830.35113
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
3
1995
Dressing of a two-dimensional nontrivial potential. Zbl 1194.35398
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
2
1995
Properties of solutions of the Kadomtsev-Petviashvili I equation. Zbl 0814.35116
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
16
1994
Solutions of the KPI equation with smooth initial data. Zbl 0806.35152
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
15
1994
Some new methods and results in the theory of \((2+1)\)-dimensional integrable equations. Zbl 0850.35094
Boiti, 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 0806.35131
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C.
14
1992
Resolvent approach for the non-stationary Schrödinger equation. Zbl 0755.35109
Boiti, 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 0941.35503
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C.
5
1992
New features of Bäcklund and Darboux transformations in \(2+1\) dimensions. Zbl 0726.58042
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Polivanov, M. C.
6
1991
Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation. Zbl 0698.35150
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. C.
31
1989
Closed string-like solutions of the Davey-Stewartson equation. Zbl 0694.35143
Arkad’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 0692.35141
Pogrebkov, A. K.
3
1989
Closed string-like solutions of the Davey-Stewartson equation. Zbl 0728.35124
Arkadiev, V. A.; Pogrebkov, A. K.; Polivanov, M. C.
2
1989
Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II. Zbl 0717.34030
Arkad’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 0665.34026
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
1
1988
Liouville field theory. Zbl 0636.35079
Pogrebkov, A. K.; Polivanov, M. K.
1
1988
Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I. Zbl 0653.34017
Arkad’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 0633.34017
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
2
1987
Liouville field theory: IST and Poisson bracket structure. Zbl 0597.58044
Dzhordzhadze, 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 0604.70032
Pogrebkov, A. K.; Polivanov, M. K.
7
1985
Singular solutions of the KdV equation and the inverse scattering method. Zbl 0599.35126
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
3
1985
Singular solutions of the KdV equation and the inverse scattering method. Zbl 0571.35094
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
9
1984
Application of inverse scattering method to singular solutions of nonlinear equations. I. Zbl 0549.35106
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
5
1983
Application of inverse scattering method to singular solutions of nonlinear equations. II. Zbl 0586.35075
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
2
1983
Relativistic Hamiltonian dynamics of singularities of the Liouville equation. Zbl 0539.35068
Pogrebkov, A. K.; Todorov, I. T.
1
1983
Nonlinear equations for fields radiated by particles. Zbl 0545.35059
Pogrebkov, A. K.
1
1982
Singular solitons: An example of a sinh-Gordon equation. Zbl 0471.35057
Pogrebkov, A. K.
7
1981
Complete integrability of dynamical systems generated by singular solutions of Liouville’s equation. Zbl 0461.35083
Pogrebkov, 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 0513.35051
Dzhordzhadze, 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 0453.35058
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
12
1980
Singular solutions of the equation \(\square\varphi +(m^2/2)\exp\varphi=O\) and the dynamics of singularities. Zbl 0415.35053
Dzhordzhadze, 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 0417.35068
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
5
1978
all top 5

Cited by 218 Authors

33 Pogrebkov, Andrei K.
14 Boiti, Marco
14 Pempinelli, Flora
9 Grinevich, Pëtr Georgievich
7 Klein, Christian
7 Saut, Jean-Claude
6 He, Jingsong
6 Prinari, Barbara
6 Talalov, Sergeĭ Vladimirovich
4 Fokas, Athanassios S.
4 Garagash, T. I.
4 Khabibullin, Ismagil Talgatovich
4 Prada, Julia
3 Abenda, Simonetta
3 Biondini, Gino
3 Cheng, Yi
3 Estévez, Pilar G.
3 Gil’, Michael Iosif
3 Kiselev, Oleg Mikhaĭlovich
3 Kulaev, Ruslan Chermenovich
3 Rao, Jiguang
3 Sakhnovich, Alexander L.
3 Santini, Paolo Maria
3 Shabat, Alekseĭ Borisovich
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 Filippov, Alexandre Tikhonovich
2 Fritzsche, Bernd
2 Gadyl’shin, Rustem R.
2 Grava, Tamara
2 Kaljakin, Leonid A.
2 Kalyakin, Leonid Anatol’evich
2 Kirstein, Bernd
2 Kiselev, O. M.
2 Koroteev, Peter
2 Kuznetsova, Mariya Nikolaevna
2 Ma, Wen-Xiu
2 Maruno, Kenichi
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 Yurov, Artyom V.
2 Zarmi, Yair
2 Zharinov, Victor Victorovich
1 Adomian, George
1 Amor, Hédri Ben
1 Babaoglu, Ceni
1 Balog, János
1 Belokurov, Vladimir Viktorovich
1 Besse, Christophe
1 Beutler, Roland
1 Bica, Ion
1 Borisov, Alexander B.
1 Brown, Russell Murray
1 Bukhshtaber, Viktor Matveevich
1 Carroll, Robert L.
1 Cerveró, José M.
1 Chen, Yong
1 Clarkson, Peter A.
1 Constantin, Adrian
1 Cui, Shangbin
1 Ding, Qing
1 Dobrokhotov, Sergei Yurievich
1 Du, Yukun
1 Dubrovsky, V. G.
1 Dzhokhadze, Otar Mikhajlovich
1 Eden, Alp
1 Fehér, László M.
1 Finkel, Federico
1 Fuchssteiner, Benno
1 Gaillard, Pierre
1 Gao, Yali
1 Gavrylenko, Pavlo
1 Gerdzhikov, Vladimir Stefanov
1 Gesztesy, Fritz
1 Ghidaglia, Jean-Michel
1 Glutsyuk, Alexey A.
1 González-López, Artemio
1 Gorodtsov, Valentin A.
1 Guil, Francisco
1 Guo, Cuihua
1 Gürel, T. Burak
1 Han, Bo
1 Hoefer, Mark A.
1 Horowitz, Shai
1 Ivanov, Rossen I.
1 Jackiw, Roman W.
1 Jorjadze, George
...and 118 more Authors
all top 5

Cited in 61 Serials

52 Theoretical and Mathematical Physics
19 Journal of Mathematical Physics
7 Studies in Applied Mathematics
6 Letters in Mathematical Physics
6 Physica D
4 Applicable Analysis
4 Communications in Mathematical Physics
4 Journal of Nonlinear Science
4 Journal of Nonlinear Mathematical Physics
3 Mathematical Notes
3 Nonlinearity
3 Applied Mathematics and Computation
3 Journal of Soviet Mathematics
3 Acta Applicandae Mathematicae
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Modern Physics A
2 Physics Letters. A
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
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 Nonlinear Dynamics
2 Communications in Nonlinear Science and Numerical Simulation
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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 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 Mathematics and Computers in Simulation
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 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial 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 Asian-European Journal of Mathematics
1 Advances in Mathematical Physics
1 Annals of Functional Analysis
1 Symmetry

Citations by Year