Abstract
A self-similar description of plasma and hydrodynamic systems within the Lagrangian approach is examined with gravitational, Coulomb forces, and pressure gradient taken into account. New self-similar solutions describing singular dynamics of plasma and gas media at later times are found.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. Schamel and A. R. Karimov, Phys. Plasmas, 7, 2790 (2000).
A. R. Karimov, H. Schamel, and V. A. Shcheglov, Phys. Lett. A, 272, 193 (2000).
A. R. Karimov and H. Schamel, Phys. Plasmas, 8, 1180 (2001).
C. Sack and H. Schamel, Phys. Rept., 156, 313 (1987).
A. R. Karimov and Yu. M. Aliev, Phys. Plasmas, 6, 1366 (1999).
R. C. Davidson, Methods in Nonlinear Plasma Theory, Academic Press, New York (1972).
A. V. Gurevich, L. V. Pariiskaya, and L. P. Pitaevskii, Zh. Éksp. Teor. Fiz., 22, 449 (1966)
J. E. Allen and J. G. Andrew, J. Plasma Phys., 4, 187 (1970).
G. J. Barenblatt, Similarity, Self-Similarity and Intermediate Asymptotics, Consultants Bureau, New York–London (1979).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Karimov, A.R., Shcheglov, V.A. Nonlinear Dynamics of Hydrodynamic Systems at Later Times. Journal of Russian Laser Research 24, 50–55 (2003). https://doi.org/10.1023/A:1022517425168
Issue Date:
DOI: https://doi.org/10.1023/A:1022517425168