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Instability of Solitons and Nonlinear Waves in Liquid Crystals

  • Conference paper
Nonlinearity with Disorder

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 67))

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Abstract

The linear stability of solitons and nonlinear periodic waves for modified Boussinesq equation, which describe a various physical systems are investigated by Whitham method. It is shown, that fast solitons are stable. The stability region of wave parameters has been obtained.

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References

  1. V.E. Zakharov, Zh.Eksp.Teor.Fiz., 65 (1974) 219.

    Google Scholar 

  2. V.G. Kamensky, S.S. Rozhkov, Zh.Eksp.Teor.Fiz, 89 (1985) 106.

    Google Scholar 

  3. F.Kh. Abdullaev, A.A. Abdumalikov, E.N. Tsoi, Phys.stat.sol. 146 (1988) 457.

    Article  ADS  Google Scholar 

  4. A.M. Kosevich, Nonlinear mechanics of crystals, IEM, Sverdlovsk, preprint, 1975.

    Google Scholar 

  5. N. Flytzanis, S. Pnevmatikos, M. Remoissenet, Physica D, 26 (1987) 311.

    Article  MATH  ADS  Google Scholar 

  6. J. Berryman, Phys.Fluids, 19 (1976) 771.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. G.E. Falkovich, M.D. Spector, S.K. Turitsyn, Phys.Lett.A 99 (1983) 271.

    Article  ADS  MathSciNet  Google Scholar 

  8. G.B. Whitham, Linear and nonlinear wave, N.Y., 1974.

    Google Scholar 

  9. A.F. Givental, Teor.Math.Fiz., 82 (1990) 28.

    MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Physics Department, Tashkent State University, 700 095, Tashkent, Uzbekistan

    A. A. Abdumalikov

  2. Thermophysics Department of Uzbek Academy of Sciences, 700 135, Tashkent, Katartal Str. 28, Uzbekistan

    E. N. Tsoi

Authors
  1. A. A. Abdumalikov
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  2. E. N. Tsoi
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Editor information

Editors and Affiliations

  1. Thermal Physics Department, Uzbek Academy of Sciences, Tashkent-135, Katartal Str. 28, Chilanzar, Uzbekistan

    Fatkulla Abdullaev

  2. Los Alamos National Laboratories, 87545, Los Alamos, NM, USA

    Alan R. Bishop

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© 1992 Springer-Verlag Berlin Heidelberg

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Abdumalikov, A.A., Tsoi, E.N. (1992). Instability of Solitons and Nonlinear Waves in Liquid Crystals. In: Abdullaev, F., Bishop, A.R., Pnevmatikos, S. (eds) Nonlinearity with Disorder. Springer Proceedings in Physics, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84774-5_23

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  • DOI: https://doi.org/10.1007/978-3-642-84774-5_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84776-9

  • Online ISBN: 978-3-642-84774-5

  • eBook Packages: Springer Book Archive

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