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Elliptic solutions in the Hénon - Heiles model
Maria V. Demina, Nikolai A. Kudryashov
Equations of motion corresponding to the Hénon - Heiles system are considered. A method enabling one to find all elliptic solutions of an autonomous ordinary differential equation…
Elliptic solutions for a family of fifth order nonlinear evolution equations
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
The family of fifth order nonlinear evolution equations is studied. Some traveling wave elliptic solutions are found. The classification of these exact solutions is given.
Point vortices and classical orthogonal polynomials
Maria V. Demina, Nikolay A. Kudryashov
Stationary equilibria of point vortices with arbitrary choice of circulations in a background flow are studied. Differential equations satisfied by generating polynomials of vortex…
Thermal regimes of high burn-up nuclear fuel rod
Nikolai A. Kudryashov, Aleksandr V. Khlunov, Mikhail A. Chmykhov
The temperature distribution in the nuclear fuel rods for high burn-up is studied. We use the numerical and analytical approaches. It is shown that the time taken to have the stati…