On modeling of nonrelativistic cylindrical oscillations in plasma


  • L.M. Gorbunov Lebedev Physical Institute of RAS (LPI RAS)
  • A.A. Frolov Joint Institute for High Temperatures of RAS (JIHT RAS)
  • E.V. Chizhonkov Lomonosov Moscow State University


плазменные колебания, кильватерные волны, метод конечных разностей, метод возмущений, уравнения в частных производных


In order to study the nonrelativistic cylindrical oscillations in plasma, an initial boundary value problem for a system of nonlinear partial differential equations is formulated. Approximate solutions to this problem are constructed on the basis of a finite-difference method and the numerical analytic perturbation techniques. It is found that the destruction of plasma oscillations is qualitatively similar to the plasma wakefield destruction. The asymptotic lower and upper estimates obtained for the time instant of oscillation destruction are in good agreement with the well-known results.

Author Biographies

L.M. Gorbunov

A.A. Frolov

E.V. Chizhonkov


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How to Cite

Горбунов Л.М., Фролов А.А., Чижонков Е.В. On Modeling of Nonrelativistic Cylindrical Oscillations in Plasma // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2008. 9. 58-65



Section 1. Numerical methods and applications

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