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Titlebook: New Approaches to Nonlinear Waves; Elena Tobisch Book 2016 Springer International Publishing Switzerland 2016 Dyachenko–Zakharov Equation.

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書目名稱New Approaches to Nonlinear Waves
編輯Elena Tobisch
視頻videohttp://file.papertrans.cn/665/664818/664818.mp4
概述Written by leading experts in nonlinear waves.Brings together theoretical, numerical and experimental approaches.With applications to real physical problems
叢書名稱Lecture Notes in Physics
圖書封面Titlebook: New Approaches to Nonlinear Waves;  Elena Tobisch Book 2016 Springer International Publishing Switzerland 2016 Dyachenko–Zakharov Equation.
描述.The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. .Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3)..In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). .The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system..The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments..All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima,? KdV-type,? Kl
出版日期Book 2016
關鍵詞Dyachenko–Zakharov Equation; Efficient Conformal Map Techniques; Euler Equations; Laboratory Scale Hydr
版次1
doihttps://doi.org/10.1007/978-3-319-20690-5
isbn_softcover978-3-319-20689-9
isbn_ebook978-3-319-20690-5Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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0075-8450 hysical problems.The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. .Two chapters are devoted to wave systems
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Modeling Water Waves Beyond Perturbations,ples, namely the Serre equations in shallow water, a generalization of the Klein–Gordon equation in deep water and how to unify these equations in arbitrary depth. The chapter ends with a discussion and caution on how this approach should be used in practice.
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