We study the dynamics of the two-soliton interaction within the framework of a completely integrable model, namely, the Gardner equation with negative cubic nonlinearity, which admits the existence of a limiting soliton. The features of the soliton interaction with participation of a thick soliton are demonstrated. Special attention is paid to the nonlinear-interaction influence on the wave-field moments, which determine the skewness and the kurtosis in the theory of turbulence.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 60, No. 9, pp. 787–792, August 2017.
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Shurgalina, E.G. Features of the Paired Soliton Interactions Within the Framework of the Gardner Equation. Radiophys Quantum El 60, 703–708 (2018). https://doi.org/10.1007/s11141-018-9839-x
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DOI: https://doi.org/10.1007/s11141-018-9839-x