Description

Book 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.

Solitons in Two-Dimensional Shallow Water

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    A Paperback by Yuji Kodama

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      Book details

      Publisher Society for Industrial & Applied Mathematics,U.S.
      Published 30 November 2018
      ISBN-13 9781611975512
      978-1611975512
      ISBN-10 1611975514
      Also in:
      Differential calculus and equations Nonlinear science Maths for scientists

      Description

      Book 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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