Solitons in two-dimensional shallow water /

Solitons in two-dimensional shallow water /

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"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 combi...

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Bibliographic Details
Main Author: Kodama, Yuji (Mathematics professor) (Author, http://id.loc.gov/vocabulary/relators/aut)
Format: Book
Language:English
Published: Philadelphia, PA : Society for Industrial and Applied Mathematics, [2018]
Series:CBMS-NSF regional conference series in applied mathematics ; 92
CBMS-NSF regional conference series in applied mathematics 92
Subjects:
Solitons
Water waves > Mathematical models
Table of 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
  • 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

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