Saint Petersburg State University of Aerospace and Instrumentation

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19942026

most citedAverage Time Spent by Levy Flights and Walks on an Interval with Absorbing Boundaries

144 citations

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nlin.SI2022★ 14 cited

The vector form of Kundu-Eckhaus equation and its simplest solutions

Aleksandr O. Smirnov, Aleksandra A. Caplieva

In our work a hierarchy of integrable vector nonlinear differential equations depending on the functional parameter $r$ is constructed using a monodromy matrix. The first equation…

nlin.SI2021★ 1 cited

Fundamental Analytic Solutions for the Kulish-Sklyanin Model with Constant Boundary Conditions

Vladimir S. Gerdjikov, Aleksandr O. Smirnov

In the present paper we analyze the construction of fundamental analytic solutions (FAS) for the generalized Kulish-Sklyanin models (KSM) for vanishing (VBC) and constant boundary…

nlin.SI2020★ 8 cited

Recursion operators and the hierarchies of MKdV equations related to $D_{4}^{(1)}$ , $D_{4}^{(2)}$ and $D_{4}^{(3)}$ Kac-Moody algebras

V. S. Gerdjikov, A. A. Stefanov, I. D. Iliev +4

We constructed the three nonequivalent gradings in the algebra $D_{4} ≃ so (8)$ . The first one is the standard one obtained with the Coxeter automorphism $C_1=S_{α_2} S_{α_1}S_{α…

The vector form of Kundu-Eckhaus equation and its simplest solutions

Fundamental Analytic Solutions for the Kulish-Sklyanin Model with Constant Boundary Conditions

Recursion operators and the hierarchies of MKdV equations related to D4(1)​, D4(2)​ and D4(3)​ Kac-Moody algebras

Recursion operators and the hierarchies of MKdV equations related to $D_{4}^{(1)}$ , $D_{4}^{(2)}$ and $D_{4}^{(3)}$ Kac-Moody algebras