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Properties of nonlinear waves in dissipative-dispersive media with instability

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Abstract

Wave processes in dissipative-dispersive media with instability described by a fourth-order nonlinear evolution equation are considered. Analytic solutions in the form of solitary and cnoidal waves are obtained. The existence of a critical value of the dispersion coefficient beyond which an initial disturbance (in particular, “white noise”) is transformed into a structure is demonstrated by numerical modeling.

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Authors and Affiliations

  1. Moscow

    A. A. Alekseev & N. A. Kudryashov

Authors
  1. A. A. Alekseev
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  2. N. A. Kudryashov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 130–136, July–August, 1990.

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Alekseev, A.A., Kudryashov, N.A. Properties of nonlinear waves in dissipative-dispersive media with instability. Fluid Dyn 25, 604–610 (1990). https://doi.org/10.1007/BF01049870

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  • DOI: https://doi.org/10.1007/BF01049870

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