84 citations · 738 across the 68 of their papers we have counts for
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Algebraic properties of Gardner's deformations for integrable systems
Arthemy V. Kiselev
An algebraic definition of Gardner's deformations for completely integrable bi-Hamiltonian evolutionary systems is formulated. The proposed approach extends the class of deformable…
Once more about the K\bar K molecule approach to the light scalars
N. N. Achasov, A. V. Kiselev
We show that the recent paper \cite{kalash}, claiming that the radiative decays ϕ\to a_0(980)γand ϕ\to f_0(980)γshould be of the same order of magnitude regardless of whether the a…
Gardner's deformations of the Boussinesq equations
Atalay Karasu, Arthemy V. Kiselev
Using the algebraic method of Gardner's deformations for completely integrable systems, we construct the recurrence relations for densities of the Hamiltonians for the Boussinesq a…
Minimal surfaces associated with nonpolynomial contact symmetry flows
Arthemy V. Kiselev
Two infinite sequences of minimal surfaces in space are constructed using symmetry analysis. In particular, explicit formulas are obtained for the self-intersecting minimal surface…