The Ostrovsky Equation and Related Wave Models
Description
This book covers recent developments in the wave theory with applications to physical oceanography, plasma, optics, acoustics, astrophysics, solids, condensed matter, including Bose-Einstein condensation, and other fields. Separate chapters written by leading experts in physics and mathematics represent new information on surface and internal waves, including rogue waves, tsunami waves, solitons, waves in solid waveguides. Some authors will present materials on wave interactions, complex dynamics, chaos, stochasticity, and fractional dynamics, as well as on pattern formation and their dynamics. We also plan to include chapters containing experimental results on wave dynamics in laboratory sets up and in the field, as well as some chapters on rigorous mathematical methods in the wave theory. The most recent books on overlapping topics were published more than 10 years ago; therefore, it is reasonable to review the progress in this field.
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Persons
Prof. Efim Pelinovsky is a Professor of Mathematics at the Higher School of Economics, Nizhny Novgorod, Russia and Leading Researcher at the Gaponov-Grekhov Institute of Applied Physics, Nizhny Novgorod, Russia. Prof. Victor Shrira is a Professor of Applied Mathematics at the School of Computer Sciences and Mathematics at Keele University, UK. Prof. Yury Stepanyants is a Honorary Professor at the School of Science, Engineering and Digital Technologies, University of Southern Queensland, Toowoomba, Australia.
Content
Professor Lev A. Ostrovsky - brief biography.- Nirunwiroj K., Tseluiko D., Khusnutdinova K. Boussinesq-Klein-Gordon and Ostrovsky equations: evolution of cnoidal waves with local defects..- Flamarion M., Pelinovsky E.N. Solitary wave disintegration within the Schamel-Ostrovsky equation..- Gordin V.A., Milutin D.P. Compact finite-difference scheme for the Ostrovsky equation.- Fariello R., Soares M.S., Stepanyants Y,A. Soliton dynamics in the Ostrovsky equation with anomalous dispersion.- Erofeev V.I., Zemlyanukhin A.I., Bochkarev A.V., Leonteva A.V. Generalized Ostrovsky equations in nonlinear wave dynamics of deformable systems.- Vlasenko V., Stashchuk N. Tidal generation of internal solitary waves under strong rotation.- Dobrokhotov S.Yu., Minenkov D. S., Nazaikinskii V. E., Tolchennikov A.A. Constructive asymptotic solutions of the nonlinear shallow water equations in a basin with a gently sloping beach.- Sheremet A., Shrira V. How does rotation change the internal wave1 reflection by a localized inhomogeneity of bathymetry and stratification.