The Role of a Thick Soliton in the Dynamics of the Soliton Gas Within the Framework of the Gardner Equation
- Authors: Didenkulova E.G.1,2, Pelinovsky E.N.1,2
- 
							Affiliations: 
							- Institute of Applied Physics of the Russian Academy of Sciences
- Nizhny Novgorod State Technical University n.a. R.E. Alekseev
 
- Issue: Vol 61, No 8-9 (2019)
- Pages: 623-632
- Section: Article
- URL: https://journals.rcsi.science/0033-8443/article/view/243913
- DOI: https://doi.org/10.1007/s11141-019-09922-9
- ID: 243913
Cite item
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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