The Problem of Soliton Collision for Non-integrable Equations
We describe an approach to construct multi-soliton asymptotics for non-integrable equations. The general idea is realized in the case of three waves and for the KdV-type equation with nonlinearity \(u^4\) .
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Vinai K. Singh H.M. Srivastava Ezio Venturino Michael Resch Vijay Gupta Editors
Modern Mathematical Methods and High Performance Computing in Science and Technology M3HPCST, Ghaziabad, India, December 2015
Springer Proceedings in Mathematics & Statistics Volume 171
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Vinai K. Singh H.M. Srivastava Ezio Venturino Michael Resch Vijay Gupta •
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Editors
Modern Mathematical Methods and High Performance Computing in Science and Technology M3HPCST, Ghaziabad, India, December 2015
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Editors Vinai K. Singh Department of Applied Mathematics Raj Kumar Goel Institute of Technology Ghaziabad, Uttar Pradesh India H.M. Srivastava Department of Mathematics and Statistics University of Victoria Victoria, BC Canada
Michael Resch High Performance Computing Center (HLRS) University of Stuttgart Stuttgart, Baden-Württemberg Germany Vijay Gupta Department of Mathematics Netaji Subhas Institute of Technology New Delhi India
Ezio Venturino Dipartimento di Matematica University of Turin Torino Italy
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-981-10-1453-6 ISBN 978-981-10-1454-3 (eBook) DOI 10.1007/978-981-10-1454-3 Library of Congress Control Number: 2016941306 Mathematics Subject Classification (2010): 46-06, 47-06, 65-06, 68-06, 76-06 © Springer Science+Business Media Singapore 2016 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
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