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Formation of Nonlinear Structures in Hydrodynamic-Type Systems

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Abstract

The nonlinear dynamics of one-dimensional systems of hydrodynamic type is examined based on the Lagrangian description. The formation of essentially nonlinear, time-dependent structures within a compressible advection problem is considered. The conditions leading to formation of new regular as well as singular collapse-type structures and wavelet structures in the density profile are derived.

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Authors and Affiliations

  1. Institute of High Temperatures, Russian Academy of Sciences, Izhorskaya Ul. 13/19, Moscow, 127412, Russia

    A. R. Karimov

  2. Physikalisches Institut, Universitat Bayreuth, D-95440, Bayreuth, Germany

    H. Schamel

  3. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Pr. 53, Moscow, 119991, Russia

    V. A. Shcheglov

Authors
  1. A. R. Karimov
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  2. H. Schamel
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  3. V. A. Shcheglov
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Karimov, A.R., Schamel, H. & Shcheglov, V.A. Formation of Nonlinear Structures in Hydrodynamic-Type Systems. Journal of Russian Laser Research 24, 108–120 (2003). https://doi.org/10.1023/A:1023673128709

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