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Quantum Ion-Acoustic Waves

Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 65)

Abstract

The quantum hydrodynamic model is applied to ion-acoustic waves in quantum plasmas. The corresponding linear dispersion relation is found, as well as a modified Korteweg–de Vries equation for weakly nonlinear solutions. Quantum effects are shown to enlarge the associated solitary wave solutions width. Fully, nonlinear traveling wave solutions are investigated.

Keywords

Travel Wave Solution Vries Equation Quantum Plasma Electron Fluid Sagdeev Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    Davidson, R. C.: Methods in Nonlinear Plasma Theory. Academic Press, New York (1972)Google Scholar
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    Gardner, C. L.: The quantum hydrodynamic model for semiconductor devices. SIAM J. Appl. Math. 54, 409–427 (1994)MathSciNetADSMATHCrossRefGoogle Scholar
  3. 3.
    Haas, F., Garcia, L. G., Goedert, J., Manfredi, G.: Quantum ion acoustic waves. Phys. Plasmas 10, 3858–3866 (2003)Google Scholar
  4. 4.
    Nicholson, D. R.: Introduction to Plasma Theory. John Wiley, New York (1983)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Universidade Federal do ParanáCuritibaBrazil

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