Features of the Paired Soliton Interactions Within the Framework of the Gardner Equation


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Abstract

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.

About the authors

E. G. Shurgalina

Institute of Applied Physics of the Russian Academy of Sciences; R. E. Alekseev State Technical University of Nizhny Novgorod

Author for correspondence.
Email: eshurgalina@mail.ru
Russian Federation, Nizhny Novgorod; Nizhny Novgorod

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