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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. K.; Pogrebkov, A.; Pogrebkov, Andrei K.; Pogrebkov, Andrei
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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 0698.35150
Arkad’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 0988.35140
Boiti, 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 1033.35097
Fokas, A. S.; Pogrebkov, A. K.
20
2003
Properties of solutions of the Kadomtsev-Petviashvili I equation. Zbl 0814.35116
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
17
1994
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.
13
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.
13
1980
Commutator identities on associative algebras and the integrability of nonlinear revolution equations. Zbl 1192.81191
Pogrebkov, A. K.
11
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
Building an extended resolvent of the heat operator via twisting transformations. Zbl 1176.35048
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
8
2009
The equivalence of different approaches for generating multisoliton solutions of the KPII equation. Zbl 1256.35112
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
8
2010
The boson-fermion correspondence and quantum integrable and dispersionless models. Zbl 1063.81065
Pogrebkov, A. K.
8
2003
Singular solitons: An example of a sinh-Gordon equation. Zbl 0471.35057
Pogrebkov, A. K.
8
1981
Hirota difference equation and a commutator identity on an associative algebra. Zbl 1222.37073
Pogrebkov, A. K.
7
2011
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 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
Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions. Zbl 1272.35108
Boiti, M.; Pempinelli, F.; 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
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
Solving the Kadomtsev-Petviashvili equation with initial data non vanishing at large distances. Zbl 0879.35133
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
6
1997
2D Toda chain and associated commutator identity. Zbl 1151.37053
Pogrebkov, A. K.
6
2008
Commutator identities on associative algebras, the non-abelian Hirota difference equation and its reductions. Zbl 1346.37056
Pogrebkov, A. K.
6
2016
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
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
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
Symmetries of the Hirota difference equation. Zbl 1372.35267
Pogrebkov, 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 0417.35068
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
Extended resolvent of the heat operator with a multisoliton potential. Zbl 1341.37034
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
4
2012
Towards an inverse scattering theory for two-dimensional nondecaying potentials. Zbl 0951.35118
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
4
1998
Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
4
2018
Closed string-like solutions of the Davey-Stewartson equation. Zbl 0694.35143
Arkad’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 0969.35519
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
4
2001
The KPI equation with unconstrained initial data. Zbl 0830.35113
Boiti, 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 0856.35096
Garagash, T. I.; Pogrebkov, A. K.
3
1995
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
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
Dressing of a two-dimensional nontrivial potential. Zbl 1194.35398
Boiti, M.; Pempinelli, F.; Pogrebkov, A.
2
1995
Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential. Zbl 1178.37096
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
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
Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons. Zbl 1317.81252
Pogrebkov, A. K.
2
2014
Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
2
2018
Cauchy-Jost function and hierarchy of integrable equations. Zbl 1339.37049
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
2
2015
IST of KPII equation for perturbed multisoliton solutions. Zbl 1360.37164
Boiti, 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 0633.34017
Arkad’ev, V. A.; Pogrebkov, A. K.; Polivanov, M. K.
2
1987
Nonlinear equations for fields radiated by particles. Zbl 0545.35059
Pogrebkov, A. K.
1
1982
Hierarchy of quantum explicitly solvable and integrable models. Zbl 1330.81190
Pogrebkov, A. K.
1
2006
Spectral theory of solitons on a generic background for the KPI equation. Zbl 0941.35534
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
1
1996
Some nondecaying potentials for the heat conduction equation. Zbl 0966.35113
Boiti, 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 0513.35051
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
1
1981
Higher Hirota difference equations and their reductions. Zbl 1429.39011
Pogrebkov, A. K.
1
2018
Induced dynamics. Zbl 1436.37081
Pogrebkov, A. K.
1
2020
Relativistic Hamiltonian dynamics of singularities of the Liouville equation. Zbl 0539.35068
Pogrebkov, A. K.; Todorov, I. T.
1
1983
Commutator identities and integrable hierarchies. Zbl 1460.37066
Pogrebkov, A. K.
1
2020
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
Bäcklund and Darboux transformations for the nonstationary Schrödinger equation. Zbl 1056.37511
Boiti, M.; Pempinelli, F.; Pogrebkov, A.; Prinari, B.
1
1999
Discrete Schrödinger equation on a finite field and associated cellular automaton. Zbl 0979.37033
Pogrebkov, A. K.
1
1999
KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matrices. Zbl 1373.37155
Boiti, 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 0415.35053
Dzhordzhadze, G. P.; Pogrebkov, A. K.; Polivanov, M. K.
1
1979
Quantizing the KdV equation. Zbl 1038.81033
Pogrebkov, A. K.
1
2001
Solution of the Cauchy problem for the Boiti-Leon-Pempinelli equation. Zbl 0941.35091
Garagash, T. I.; Pogrebkov, A. K.
1
1996
Liouville field theory. Zbl 0636.35079
Pogrebkov, A. K.; Polivanov, M. K.
1
1988
Induced dynamics. Zbl 1436.37081
Pogrebkov, A. K.
1
2020
Commutator identities and integrable hierarchies. Zbl 1460.37066
Pogrebkov, A. K.
1
2020
Darboux system: Liouville reduction and an explicit solution. Zbl 1439.35401
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
4
2018
Darboux system as three-dimensional analog of Liouville equation. Zbl 1412.35211
Kulaev, R. Ch.; Pogrebkov, A. K.; Shabat, A. B.
2
2018
Higher Hirota difference equations and their reductions. Zbl 1429.39011
Pogrebkov, A. K.
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.
6
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.
2
2014
Extended resolvent of the heat operator with a multisoliton potential. Zbl 1341.37034
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
4
2012
Hirota difference equation and a commutator identity on an associative algebra. Zbl 1222.37073
Pogrebkov, A. K.
7
2011
Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions. Zbl 1272.35108
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.
6
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.
8
2010
Building an extended resolvent of the heat operator via twisting transformations. Zbl 1176.35048
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B.
8
2009
Commutator identities on associative algebras and the integrability of nonlinear revolution equations. Zbl 1192.81191
Pogrebkov, A. K.
11
2008
2D Toda chain and associated commutator identity. Zbl 1151.37053
Pogrebkov, A. K.
6
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.
20
2003
The boson-fermion correspondence and quantum integrable and dispersionless models. Zbl 1063.81065
Pogrebkov, A. K.
8
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
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.
13
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.
22
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.
4
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
Bäcklund and Darboux transformations for the nonstationary Schrödinger equation. Zbl 1056.37511
Boiti, M.; Pempinelli, F.; Pogrebkov, A.; Prinari, B.
1
1999
Discrete Schrödinger equation on a finite field and associated cellular automaton. Zbl 0979.37033
Pogrebkov, A. K.
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
The KPI equation with unconstrained initial data. Zbl 0830.35113
Boiti, 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 0856.35096
Garagash, T. I.; Pogrebkov, A. K.
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.
17
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.
33
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
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.
8
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.
13
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 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

Citations by Year