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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Yuji Kodama is a Professor in the Department of Mathematics at The Ohio State University. His research interests are differential equations, mathematical physics, integrable systems and nonlinear PDEs, Lie algebras and field theories, applications to physical and engineering problems, and topological questions related to differential equations.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : new. Paperback. 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 toolsalgebraic geometry, algebraic combinatorics, and representation theory, among othersare used to analyze these two-dimensional wave patterns. The authors 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. 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 details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781611975512
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