Symmetry Analysis and Conservation Laws for Some Boussinesq Equations with Damping Terms
In this work, we study some Boussinesq equations with damping term from the point of view of the Lie theory. We derive the classical Lie symmetries admitted by the equation as well as the reduced ordinary differential equations. We also present some exact
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Current Trends in Mathematical Analysis and Its Interdisciplinary Applications
Current Trends in Mathematical Analysis and Its Interdisciplinary Applications
Hemen Dutta • Ljubiša D. R. Koˇcinac • Hari M. Srivastava Editors
Current Trends in Mathematical Analysis and Its Interdisciplinary Applications
Editors Hemen Dutta Department of Mathematics Gauhati University Guwahati Assam, India
Ljubiša D. R. Koˇcinac University of Nis Faculty of Sciences and Mathematics Aleksandrovac, Serbia
Hari M. Srivastava Dept. Mathematics and Statistics University of Victoria Victoria BC, Canada
ISBN 978-3-030-15241-3 ISBN 978-3-030-15242-0 (eBook) https://doi.org/10.1007/978-3-030-15242-0 Mathematics Subject Classification (2010): 33-XX, 34-XX, 35-XX, 45-XX, 46-XX, 47-XX, 49-XX, 58-XX, 76-XX © Springer Nature Switzerland AG 2019 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 the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com, by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
The book is for graduate and PhD students, researchers in mathematics and applied sciences, educators, and engineers. It contains research results on several important aspects of recent developments in interdisciplinary applications of mathematical analysis and also focuses on the uses and applications of mathematical analysis in many areas of scientific research. Each chapter aims at enriching the understanding of the research problems with sufficient material to understand the necessary theories, methods, and applications. Emphasis is given to present the basic developments concerning an idea in full detail and the most recent advances made in the area of study. The book shall also be useful for general readers having interest in recent developments in interdisciplinary a
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