Anatoly G. Meshkov
Research Subjects
Anatoly G. Meshkov has a total of 16 co-authors. Here are the top co-authors by number of shared publications:
V. N. Shapovalov
V. V. Kuibyshev Tomsk State University
9 shared publicationsV. G. Bagrov
V. V. Kuibyshev Tomsk State University
8 shared publications- Maxim Ju. Balakhnev
Orel State Technical University Orel Russia
6 shared publications - Alexander V. Shapovalov
Department of Theoretical Physics, Tomsk State University, Tomsk, Russia
5 shared publications - Vladimir Vyacheslavovich Sokolov
Higher School of Modern Mathematics, Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, Russia
5 shared publications D. M. Gitman
V. V. Kuibyshev Tomsk State University
3 shared publications
Latest Publications
- 26 August 2022
- Published by Pleiades Publishing Ltd in Mathematical Notes
- Vol. 112 (1-2) , 93-99
On a Class of Integrable Evolution Vector Equations of 3rd Order
A symmetry approach to the classification of nonlinear exactly integrable evolution vector equations of 3rd order of special kind is presented.
- 26 August 2022
- Published by Pleiades Publishing Ltd in Mathematical Notes
- Vol. 112 (1-2) , 93-99
On a Class of Integrable Evolution Vector Equations of 3rd Order
A symmetry approach to the classification of nonlinear exactly integrable evolution vector equations of 3rd order of special kind is presented.
- 1 April 2015
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 22 (2) , 201-214
Integrable Hamiltonian equations of fifth order with Hamiltonian operator D x
All nonequivalent integrable evolution equations of the fifth order of the form \(u_t = D_x \tfrac{{\delta H}} {{\delta u}}\) are found.- 1 April 2015
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 22 (2) , 201-214
Integrable Hamiltonian equations of fifth order with Hamiltonian operator D x
All nonequivalent integrable evolution equations of the fifth order of the form \(u_t = D_x \tfrac{{\delta H}} {{\delta u}}\) are found.- 15 November 2013
- Published by Springer Nature in Letters in Mathematical Physics
- Vol. 104 (3) , 341-360
Vector Hyperbolic Equations on the Sphere Possessing Integrable Third-Order Symmetries
- 15 November 2013
- Published by Springer Nature in Letters in Mathematical Physics
- Vol. 104 (3) , 341-360
Vector Hyperbolic Equations on the Sphere Possessing Integrable Third-Order Symmetries
- Open Access
Integrable evolution equations with constant separant
The survey provides classification results for integrable one-field evolution equations of orders 2, 3 and 5 with the constant separant. The classification is based on necessary integrability conditions following from the existence of the formal recursion operator for integrable equations. Recurrent formulas for the whole infinite sequence of necessary conditions are presented for the first time. The most of the classification statements can be found in papers by S.I. Svinilupov and V.V. Sokolov but the proofs have never been published before. The result concerning the fifth order equations is stronger than obtained before.
Open AccessIntegrable evolution equations with constant separant
The survey provides classification results for integrable one-field evolution equations of orders 2, 3 and 5 with the constant separant. The classification is based on necessary integrability conditions following from the existence of the formal recursion operator for integrable equations. Recurrent formulas for the whole infinite sequence of necessary conditions are presented for the first time. The most of the classification statements can be found in papers by S.I. Svinilupov and V.V. Sokolov but the proofs have never been published before. The result concerning the fifth order equations is stronger than obtained before.
- 1 January 2011
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 166 (1) , 43-57
Hyperbolic equations with third-order symmetries
- 1 January 2011
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 166 (1) , 43-57
Hyperbolic equations with third-order symmetries
- 1 August 2010
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 164 (2) , 1002-1007
Integrable vector evolution equations admitting zeroth-order conserved densities
- 1 August 2010
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 164 (2) , 1002-1007
Integrable vector evolution equations admitting zeroth-order conserved densities
- 1 November 2009
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 161 (2) , 1471-1484
Vector hyperbolic equations with higher symmetries
- 1 November 2009
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 161 (2) , 1471-1484
Vector hyperbolic equations with higher symmetries
- 1 September 2008
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 156 (3) , 1268-1279
Nonlocal symmetries in two-field divergent evolutionary systems
- 1 September 2008
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 156 (3) , 1268-1279
Nonlocal symmetries in two-field divergent evolutionary systems
- 1 June 2008
- Published by Springer Nature in Journal of Mathematical Sciences
- Vol. 151 (4) , 3167-3181
On symmetry classification of third-order evolutionary systems of divergent type
- 1 June 2008
- Published by Springer Nature in Journal of Mathematical Sciences
- Vol. 151 (4) , 3167-3181
On symmetry classification of third-order evolutionary systems of divergent type
- Open Access
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with $4 \times 4$ matrices are presented.Open AccessTwo-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with $4 \times 4$ matrices are presented.