Features of the Paired Soliton Interactions Within the Framework of the Gardner Equation
- Authors: Shurgalina E.G.1,2
-
Affiliations:
- Institute of Applied Physics of the Russian Academy of Sciences
- R. E. Alekseev State Technical University of Nizhny Novgorod
- Issue: Vol 60, No 9 (2018)
- Pages: 703-708
- Section: Article
- URL: https://journals.rcsi.science/0033-8443/article/view/243830
- DOI: https://doi.org/10.1007/s11141-018-9839-x
- ID: 243830
Cite item
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
Supplementary files
