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Solitons in Two-Dimensional Shallow Water

CBMS-NSF Regional Conference Series in Applied Mathematics

By (author) Yuji Kodama
Format: Paperback / softback
Publisher: Society for Industrial & Applied Mathematics,U.S., New York, United States
Published: 30th Nov 2018
Dimensions: w 150mm h 150mm d 20mm
Weight: 538g
ISBN-10: 1611975514
ISBN-13: 9781611975512
Barcode No: 9781611975512
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Synopsis
Web-like waves, often observed on the surface of shallow water, are examples of nonlinear waves. They are generated by nonlinear interactions among several obliquely propagating solitary waves, also known as solitons. In this book, modern mathematical tools-algebraic geometry, algebraic combinatorics, and representation theory, among others-are used to analyze these two-dimensional wave patterns. The author's primary goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves. This book is intended for researchers and graduate students.

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