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Field Structure of a Quasisoliton Approaching the Critical Point

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Radiophysics and Quantum Electronics Aims and scope

Within the framework of an approximate approach based on the representation of the Gardnerequation solitons as compound structures (different-polarity kinks), the non-quasistationary evolution of such solitary waves, which is stipulated by the variable quadratic-nonlinearity parameter α. The structure of the composite soliton is studied in cases that are critical for the quasistationary description where the predicted increase in the solitary-wave scales becomes unbounded on finite spatio-temporal intervals. The dependence of the spatial scales of the quasisoliton-field distribution on the quadratic-nonlinearity coefficient near the critical point for the power-law time dependence α(t) is studied in detail. The obtained solution is compared with the results of direct numerical simulation of the Gardner equation with variable coefficients.

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Authors and Affiliations

  1. Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    K. A. Gorshkov, I. A. Soustova & A. V. Ermoshkin

  2. R. E.Alekseev Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia

    I. A. Soustova

Authors
  1. K. A. Gorshkov
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  2. I. A. Soustova
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  3. A. V. Ermoshkin
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Corresponding author

Correspondence to I. A. Soustova.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 58, No. 10, pp. 821–828, October 2015.

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Gorshkov, K.A., Soustova, I.A. & Ermoshkin, A.V. Field Structure of a Quasisoliton Approaching the Critical Point. Radiophys Quantum El 58, 738–744 (2016). https://doi.org/10.1007/s11141-016-9646-1

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  • DOI: https://doi.org/10.1007/s11141-016-9646-1

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