TY - JOUR

T1 - Soliton Solutions to Hydrodynamic Equations When Describing Collisions and Oscillations of Atomic Nuclei

AU - Дьяченко, Александр Трофимович

AU - Митропольский, Иван Андреевич

PY - 2023/8/1

Y1 - 2023/8/1

N2 - A hydrodynamic approach is used to find an analytical solution to hydrodynamic equations in a soliton approximation for one- and two-dimensional layer collisions. The stages of compression, decompression, and expansion are investigated using a single formula for layers with energies of around 10 MeV per nucleon. Two-dimensional generalization produces a region of a rarefied bubble at the stage of expansion. The approach is of intrinsic interest and can be used in other fields of physics to calculate the nonlinear dynamics of oscillations of complex systems.

AB - A hydrodynamic approach is used to find an analytical solution to hydrodynamic equations in a soliton approximation for one- and two-dimensional layer collisions. The stages of compression, decompression, and expansion are investigated using a single formula for layers with energies of around 10 MeV per nucleon. Two-dimensional generalization produces a region of a rarefied bubble at the stage of expansion. The approach is of intrinsic interest and can be used in other fields of physics to calculate the nonlinear dynamics of oscillations of complex systems.

UR - https://www.mendeley.com/catalogue/946c5143-4a6e-3aa5-842e-7d2053e6574d/

U2 - 10.3103/s1062873823703057

DO - 10.3103/s1062873823703057

M3 - Article

VL - 87

SP - 1169

EP - 1173

JO - Bulletin of the Russian Academy of Sciences: Physics

JF - Bulletin of the Russian Academy of Sciences: Physics

SN - 1062-8738

IS - 8

ER -