Il Nuovo Cimento D

, Volume 11, Issue 8, pp 1093–1099 | Cite as

On the envelope solitons in a relativistic ion-acoustic plasma

  • K. Roy Chowdhury
  • A. Roy Chowdhury
Article
  • 15 Downloads

Summary

Nonlinear Schrödinger equation describing the envelope solitons is deduced in the case of ion-acoustic relativistic plasma, without taking recourse to the usual reductive perturbation theory. The methodology is that of Fried et al. (1973), which in some sense can be considered to be an extension of the effective (pseudo) potential theory. Amplitude and velocity of the solitary wave are obtained in terms of the physical parameters of plasma.

PACS

52.60 Relativistic plasma 

PACS

52.35 Waves, oscillations and instabilities in plasma 

Riassunto

Si deriva l’equazione di Schrödinger non lineare che descrive i solitoni dell’involucro nel caso del plasma relativistico a onde ioniche, senza fare ricorso all’usuale teoria di perturbazione riduttiva. La metodologia è quella di Fried et al. (1973) che si può considerare in qualche modo come un’estensione della teoria efficace di (pseudo) potenziale. Si ottengono l’ampiezza e la velocità dell’onda solitaria nei termini dei parametri fisici del plasma.

Резюме

Выводится нелинейное уравнение Шредингера, описывающее огибающие солитоны в случае релятивистской плазмы, без использования обычной теории возмущений. Методология аналогична методологии фрейда и др. (1973), которая в некотором смысле представляет обобщение теории эффективного (псевдо) потенциала. Получается вмплитуда и скорости одиночной волны в терминах физических параметров плазмы.

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References

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    K. E. Lonngren: Plasma Phys., 25, 943 (1983).CrossRefADSGoogle Scholar
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    H. Washimi and T. Taniuti: Phys. Rev. Lett., 17, 966 (1966); G. C. Das and S. N. Paul: Phys. Fluid, 28, 823 (1985).CrossRefADSGoogle Scholar
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    Y. Kodama and T. Taniuti: J. Phys. Soc. Jpn., 45, 298 (1978).CrossRefADSMathSciNetGoogle Scholar
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    V. I. Karpman and E. M. Krushkal: Sov. Phys. JETP, 28, 277 (1969).ADSGoogle Scholar
  5. (5).
    B. D. Fried and Y. H. Ichikawa: J. Phys. Soc. Jpn., 34, 1073 (1973).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1989

Authors and Affiliations

  • K. Roy Chowdhury
    • 1
  • A. Roy Chowdhury
    • 1
  1. 1.High Energy Physics Division, Department of PhysicsJadavpur UniversityCalcuttaIndia

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