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Instability of periodic stationary waves in an active nonlinear medium with high-frequency losses

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Abstract

The stability of stationary waves in nondispersive nonlinear active media with high-frequency losses is studied. It is shown that waves with wavelength greater than some minimum value λmin can exist in such a medium. All stationary waves are unstable with respect to small perturbations of their profile, but as the wavelength increases, the lifetime of the wave increases and for waves with long wavelengths λ the lifetime can be long enough that these waves can in some sense be regarded as stable.

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Authors and Affiliations

  1. Educational-Scientific Center “Kolledzh”, N. G. Chernyshevskii Saratov State University, Saratov

    A. A. Koronovskii & I. S. Rempen

Authors
  1. A. A. Koronovskii
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  2. I. S. Rempen
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Pis’ma Zh. Tekh. Fiz. 24, 80–87 (January 26, 1998)

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Koronovskii, A.A., Rempen, I.S. Instability of periodic stationary waves in an active nonlinear medium with high-frequency losses. Tech. Phys. Lett. 24, 76–78 (1998). https://doi.org/10.1134/1.1262001

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  • DOI: https://doi.org/10.1134/1.1262001

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