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Solitons in two-dimensional shallow water

Author: Yuji Kodama, (Mathematics professor)
Publisher: Philadelphia, PA : Society for Industrial and Applied Mathematics, [2018] ©2018
Series: CBMS-NSF regional conference series in applied mathematics, 92.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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  Read more...
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Additional Physical Format: Online version:
Kodama, Yuji (Mathematics professor), author.
Solitons in two-dimensional shallow water
Philadelphia : Society for Industrial and Applied Mathematics, [2018]
(DLC) 2018047419
Document Type: Book
All Authors / Contributors: Yuji Kodama, (Mathematics professor)
ISBN: 9781611975512 1611975514
OCLC Number: 1056202929
Description: xiii, 252 pages : illustrations ; 26 cm.
Contents: Basic equations for shallow water waves --
Introduction to the KP theory and the t-function --
The real Grassmannians and their parametrizations --
Classification of the KP solitons --
Soliton graphs --
Stability and numerical simulations --
The inverse problem --
The Mach reflection : the Miles theory and the higher order KP theory.
Series Title: CBMS-NSF regional conference series in applied mathematics, 92.
Other Titles: Solitons in 2-dimensional shallow water
Responsibility: Yuji Kodama.

Abstract:

Uses modern mathematical tools - algebraic geometry, algebraic combinatorics, and representation theory, among others - to analyse two-dimensional wave patterns. The author's goal is to explain some  Read more...

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