Tytuł artykułu
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Warianty tytułu
Języki publikacji
Abstrakty
Symmetry group of integro-difFerential equations describing nonlinear upper hybrid waves in magnetized electron plasma is found. It is shown that the extension of the symmetry in the cold plasma limit allows us to build the general solution in this case.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
303--309
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- Institute for Nuclear Research, National Academy of Sciences of Ukraine, Prospekt Nauki 47, 03680 Kyiv-28, Ukraine
autor
- Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Świętokrzyska 21, 00-049 Warsaw, Poland
Bibliografia
- 1. L. V. OVSIANNIKOV, Group analysis of differential equations, Academic Press, Boston 1982.
- 2. N. H. IBRAGIMOV, Transformation groups applied to mathematical physics, Dordrecht, Reidel 1985.
- 3. P. J. OLVER, Applications of lie groups to differential equations, Springer, New York 1986.
- 4. W. BLUMAN AND S. KUMEI, Symmetries and differential equations, Springer, New York 1989.
- 5. V. B. TARANOV, On symmetries of the one-dimensional, high jrequaency movements in collisionless plasma [in Russian], ZTF, 46, 1271-1277, 1976, English translation: Sov. Phys. Tech. Phys., 21, 720-726, 1976.
- 6. Z. J. ZAWISTOWSKI, On symmetries of integro-differential equations, Bull. Polish Acad. Sci., Tech. Sci., 46, 187-197, 1998.
- 7. Z. J. ZAWISTOWSKI, Symmetries of integro-differential equations, Rep. Math. Phys., 48, 1/2, 269-276, 2001.
- 8. Z. J. ZAWISTOWSKI, Symmetries of Integro-Differential Equations, Proceedings of the Institute of Mathematics of NAS of Ukraine, 43, Part 1, 263-270, 2002.
- 9. F. F. CHEN, Introduction to plasma physics and controlled fusion, 1, Plenum Press, New York 1984.
- 10. R. C. DAVIDSON, Methods in nonlinear plasma theory, Academic Press, New York 1972.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0002-0051