Rogue edge waves in the ocean
1 Department of Nonlinear Geophysical Processes, Institute of Applied Physics, Nizhny Novgorod, Russia
2 Department of Applied Mathematics, Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia
3 Department of Mathematics, State University The Higher School of Economics, Nizhny Novgorod Branch, Nizhny Novgorod, Russia
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Theoretically possible rogue edge wave are studied over cylindrical bottom in the framework of nonlinear shallow water equations in a weakly nonlinear limit. The nonlinear mechanisms (nonlinear dispersion enhancement, modulation instability and multimodal interactions) of possible anomalous edge wave appearance are analyzed.
© EDP Sciences, Springer-Verlag, 2010