26 citations · 71 across the 9 of their papers we have counts for
9 papers
Classification of integrable vector equations of geometric type
Anatoly Meshkov, Vladimir Sokolov
A complete classification of isotropic vector equations of the geometric type that possess higher symmetries is proposed. New examples of integrable multi-component systems of the…
Integrable Hamiltonian equations of fifth order with the Hamiltonian operator
A. G. Meshkov, V. V. Sokolov
All non-equivalent integrable evolution equations of the fifth order of the form are found.
Integrable evolution Hamiltonian equations of the third order with the Hamiltonian operator
A. G. Meshkov, V. V. Sokolov
All non-equivalent integrable evolution equations of third order of the form are found.
Integrable evolution equations with constant separant
A. G. Meshkov, V. V. Sokolov
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 in…
Vector hyperbolic equations on the sphere possessing integrable third order symmetries
Anatoly Meshkov, Vladimir Sokolov
The complete lists of vector hyperbolic equations on the sphere that have integrable third order vector isotropic and anisotropic symmetries are presented. Several new integrable h…
Integrable hyperbolic equations of sin-Gordon type
A. G. Meshkov, V. V. Sokolov
A complete list of nonlinear one-field hyperbolic equations having generalized integrable x- and y-symmetries of the third order is presented. The list includes both sin-Gordon typ…