ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Ezerskij A. B., Polukhina O. E., Brossard J., Marin F., Mutabazi I. Dynamics of solitons excited in resonators on the surface of shallow water: theory and experiment. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 1, pp. 138-158. DOI: 10.18500/0869-6632-2004-12-1-138-158

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Dynamics of solitons excited in resonators on the surface of shallow water: theory and experiment

Ezerskij Aleksandr Borisovich, Institute of Applied Physics of the Russian Academy of Sciences
Polukhina Oksana Evgenievna, Nizhny Novgorod State Technical University named after RE Alekseev
Brossard Jerome, Le Havre Normandy University
Marin Francois, Le Havre Normandy University
Mutabazi Innocent, Le Havre Normandy University

Excitation of solitons of surface waves in resonators is investigated. It was found that solitons may be generated on the shallow water surface against the background of a large-scale resonator mode. Multistability and period doubling of nonlinear waves excited in the resonator were found. Spatio-temporal diagrams were ploited for different regimes of wave excitation. Spatio-temporal dynamics of nonlinear fields of soliton excitation in a resonator and in an unbounded system were compared. Two approaches were used for theoretical description of solitons excitation. The first one was based on searching solutions of ordinary differential equations for phase and amplitude of soliton propagating against the background of harmonic wave and the second one was based оп direct numerical calculations of Euler equations in the Boussinesq approximation. Qualitative investigation of equation for amplitude and phase of solitons and numerical simulation allowed us to explain the characteristics of solitons observed in the experiment.

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