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020 _a9783031026119
024 7 _a10.1007/978-3-031-02611-9
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA927
_b2020 EB
100 1 _aTanaka, Mitsuhiro
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9688338
245 1 0 _aPhysics of Nonlinear Waves
_cby Mitsuhiro Tanaka
250 _a1st edition 2020
264 1 _aCham
_bSpringer International Publishing
_c2020
300 _a1 recurso en línea (XV, 237 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Wave Phenomena in the Physical Sciences
_x2690-2354
505 0 _aPreface -- Acknowledgments -- The Simplest Nonlinear Wave Equation -- Burgers Equation: Effect of Diffusion -- Basics of Linear Water Waves -- Perturbation Method and Multiple Scale Analysis -- KdV Equation: Effect of Dispersion -- Modulation and Self-Interaction of a Wavetrain -- Resonant Interaction Between Waves -- Wave Turbulence: Interaction of Innumerable Waves -- Author's Biography -- Index.
520 _aThis is an introductory book about nonlinear waves. It focuses on two properties that various different wave phenomena have in common, the "nonlinearity" and "dispersion", and explains them in a style that is easy to understand for first-time students. Both of these properties have important effects on wave phenomena. Nonlinearity, for example, makes the wave lean forward and leads to wave breaking, or enables waves with different wavenumber and frequency to interact with each other and exchange their energies. Dispersion, for example, sorts irregular waves containing various wavelengths into gentler wavetrains with almost uniform wavelengths as they propagate, or cause a difference between the propagation speeds of the wave waveform and the wave energy. Many phenomena are introduced and explained using water waves as an example, but this is just a tool to make it easier to draw physical images. Most of the phenomena introduced in this book are common to all nonlinear and dispersive waves. This book focuses on understanding the physical aspects of wave phenomena, and requires very little mathematical knowledge. The necessary minimum knowledges about Fourier analysis, perturbation method, dimensional analysis, the governing equations of water waves, etc. are provided in the text and appendices, so even second- or third-year undergraduate students will be able to fully understand the contents of the book and enjoy the fan of nonlinear wave phenomena without relying on other books.
988 _aSynthesis Collection of Technology_2020
650 7 _2embne
_9138348
_aOndas
776 0 8 _iPrinted edition:
_z9783031003554
776 0 8 _iPrinted edition:
_z9783031014833
776 0 8 _iPrinted edition:
_z9783031037399
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02611-9
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b05/2023
_dz
_eIG
_zSI