Dispersive Shallow Water Waves Theory, Modeling, and Numerical Metho

This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent

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Gayaz Khakimzyanov Denys Dutykh Zinaida Fedotova Oleg Gusev

Dispersive Shallow Water Waves Theory, Modeling, and Numerical Methods

Lecture Notes in Geosystems Mathematics and Computing Series Editors Willi Freeden, Technische Universität Kaiserslautern, Kaiserslautern, Germany M. Zuhair Nashed, University of Central Florida, Orlando, FL, USA Otmar Scherzer, University of Vienna, Vienna, Austria

Editorial Board Hans-Peter Bunge, Munich University, Munich, Germany Yalchin Efendiev, Texas A&M University, College Station, TX, USA Bulent Karasozen, Middle East Technical University, Ankara, Turkey Volker Michel, University of Siegen, Siegen, Germany Tarje Nissen-Meyer, University of Oxford, Oxford, UK Nils Olsen, Technical University of Denmark, Kongens Lyngby, Denmark Helmut Schaeben, Technical University Bergakademie Freiberg, Freiberg, Germany Frederik J. Simons, Princeton University, Princeton, NJ, USA Thomas Sonar, Technical University of Braunschweig, Braunschweig, Germany Peter J.G. Teunissen, Delft University of Technology, Delft, The Netherlands Johannes Wicht, Max Planck Institute for Solar System Research, Göttingen, Germany

More information about this series at http://www.springer.com/series/15481

Gayaz Khakimzyanov • Denys Dutykh Zinaida Fedotova • Oleg Gusev

Dispersive Shallow Water Waves Theory, Modeling, and Numerical Methods

Gayaz Khakimzyanov Institute of Computational Technologies of the Siberian Branch of the Russian Academy of Sciences Novosibirsk, Russia Zinaida Fedotova Institute of Computational Technologies of the Siberian Branch of the Russian Academy of Sciences Novosibirsk, Russia

Denys Dutykh CNRS - LAMA UMR 5127 Department of Mathematics University Savoie Mont Blanc Campus Scientifique Le Bourget-du-Lac, France Oleg Gusev Institute of Computational Technologies of the Siberian Branch of the Russian Academy of Sciences Novosibirsk, Russia

Lecture Notes in Geosystems Mathematics and Computing ISBN 978-3-030-46266-6 ISBN 978-3-030-46267-3 (eBook) https://doi.org/10.1007/978-3-030-46267-3 Mathematics Subject Classification: 76-XX, 00A71 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither t