The Role of a Thick Soliton in the Dynamics of the Soliton Gas Within the Framework of the Gardner Equation


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Abstract

We study the statistical moments of the soliton gas (mean field, variance, skewness, and kurtosis), which is described within the framework of the Gardner equation with negative cubic nonlinearity. The influence of the limiting (thick or table-like) soliton on the statistical moments of the soliton gas is considered. It is shown to be substantial if the thick-soliton intensity is comparable with that of the moderate-amplitude solitons.

About the authors

E. G. Didenkulova

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

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

E. N. Pelinovsky

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

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

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