The influence of nonlinear interaction on the evolution of waves in a shallow basin

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The influence of counter interaction of nonlinear wave in the shallow water has been studied. It is shown that such an interaction leads to a change in the phase of propagation of the main wave, which is forced to propagate along the flow induced by the counter-propagating wave. Estimates of the height of the non-breaking wave at the moment of interaction are in agreement with theoretical predictions. The phase shift in the interaction of non-breaking waves is small enough, but becomes noticeable in the case of the breaking waves motion.

About the authors

A. A. Rodin

Nizhny Novgorod State Technical University n.a. R.E. Alekseev

Author for correspondence.

Russian Federation, Minin Street 24, 603950, Nizhny Novgorod

N. A. Rodina

Nizhny Novgorod State Technical University n.a. R.E. Alekseev; Lobachevsky State University of Nizhni Novgorod


Russian Federation, Minin Street 24, 603950, Nizhny Novgorod; Gagarin Avenue, 23, 603950, Nizhny Novgorod

A. A. Kurkin

Nizhny Novgorod State Technical University n.a. R.E. Alekseev


Russian Federation, Minin Street 24, 603950, Nizhny Novgorod

E. N. Pelinovsky

Institute of Applied Physics Russian Academy of Sciences; Special Research Bureau for Automation of Marine Researches, Far Eastern Branch of Russian Academy of Sciences; National Research University – Higher School of Economics; University of Southern Queensland


Russian Federation, Ul’yanov Street, 46, 603950, Nizhny Novgorod; Gorky Street, 25, 693023, Yuzhno-Sakhalinsk; Bolshaya Pecherskaya Street, 25/12, 603155, Nizhny Novgorod; West Street, Darling Heights QLD 4350 Australia


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