Features of the Paired Soliton Interactions Within the Framework of the Gardner Equation
We study the two-soliton interaction dynamics within the framework of a fully integrable model,
i.e., 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 moments of the wave fields, which
determine the skewness and the kurtosis in the theory of turbulence.