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Study of two coupled three-wave interactions with a quadratic non-linearly in the presence of dissipation and frequency mismatch

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Basu, Shukla. (2003) Study of two coupled three-wave interactions with a quadratic non-linearly in the presence of dissipation and frequency mismatch. Journal of Plasma Physics, Vol.69 (No.1). pp. 1-14. ISSN 0022-3778

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Official URL: http://dx.doi.org/10.1017/S0022377802001952

Abstract

The non-linear dynamic behaviour of two three-wave systems in plasma with two waves in common has been studied, including the possibility of negative energy waves and also the effect of linear damping or growth and frequency mismatch. Depending on the various initial conditions solutions of different types have been discussed. It has also been shown that one of the triplets can be stabilized by the other one against explosive instability depending on the relative strength of the coupling factor.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Plasma waves -- Mathematics, Plasma stability, Plasma dynamics
Journal or Publication Title: Journal of Plasma Physics
Publisher: Cambridge University Press
ISSN: 0022-3778
Date: January 2003
Volume: Vol.69
Number: No.1
Page Range: pp. 1-14
Identification Number: 10.1017/S0022377802001952
Status: Peer Reviewed
Access rights to Published version: Open Access
References: Akhiezer, N. I. 1990 Elements of the Theory of Elliptic Functions, Vol. 79. Providence, RI: American Mathematical Society, p. 106. Basu, S. 1999 J. Plasma. Phys. 61, 771. Chian, A. C. L. and Rizzato, F.B. 1994 J. Plasma Phys. 56, 61. Chian, A. C. L., Lopes, S.R. and Alves, M.V. 1994 Astron. Astrophys., L13–L16. Chian, A. C. L., Lopes, S.R. and Abaldeo, J. R. 1996 Physica D 269–275. Coffey, T.P. and Ford, G.W. 1969 J. Math. Phys. 10, 998. Coppi, B., Rosenbluth, M.N. and Sudan, R.N. 1969 Ann. Phys. De, S., Khan, T.P. and Roychoudbury, R. K. 1981 J. Phys. A: Math. Gen. 14, 1789. Domier, C.W. and Luhmann, J. R.N. C. 1993 Phys. Fluids B5, 2398. Kerst, R. A. and Raether, M. 1976 J. Plasma Phys. 16, 335. Krasnosel’skikh, V.V., Lefebvre, B., Dudok deWit, T. and Mourenas 1998 Phys. Scr. 57, 246. Milne-Thomson, L. M. 1950 Jacobian Elliptic Function Tables. NewYork: Dover Publications, p. 27. Pakter, R., Lopes, S. R. and Viana, R.L. 1997 Physica D 277–288. Romeiras, F. J. 1983 Phys. Lett. A 227–229. Shen Y.R. 1984 The Principle of Non-linear Optics. New York: Wiley. Sugihara, R. 1968 Phys. Fluids 178–184. Walters, D. and Lewak, G. J. 1977 J. Plasma. Phys. 18, 525–536. Weiland, J. and Wilhelmsson, H. 1977 Coherent Non-linear Interaction of Waves in Plasma. Oxford: Pergamon. Yariv, A. 1989 Quantum Electronics. New York: Wiley.
URI: http://wrap.warwick.ac.uk/id/eprint/759

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