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The Gardner equation in weakly dispersive limit: evolution of a pulse with a polarity, opposite to the sign of the quadratic nonlinearity

E.А. Rouvinskaya, O.E. Kurkina, A.A. Kurkin, A.R. Giniyatullin

Memoirs of the Faculty of Physics 2016. N 6.

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Annotation

We study some peculiarities of the small dispersion limit for the Gardner equation with positive and negative sign of cubic nonlinear term and positive quadratic nonlinear term by numerical modeling of evolution of long bell–shaped pulse with a polarity, opposite to the sign of the quadratic nonlinearity. A statistical and spectral analysis of wave fields is carried out.

PACS:
47.35.-i Hydrodynamic waves
Authors
E.А. Rouvinskaya, O.E. Kurkina, A.A. Kurkin, A.R. Giniyatullin
Laboratory of Modeling of Natural and Anthropogenic Disasters, Nizhny Novgorod State Technical University n. a. R. E. Alekseev 24 Minin street, 603950 Nizhny Novgorod, Russia
Issue 6, 2016

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