KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns - Couverture souple
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Synopsis
This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians, in particular, the totally nonnegative (TNN) parts of the Grassmannians.
The book begins with a brief introduction to the theory of the Kadomtsev–Petviashvili (KP) equation and its soliton solutions, called the KP solitons. Owing to the nonlinearity in the KP equation, the KP solitons form very complex but interesting web-like patterns in two dimensions. These patterns are referred to as soliton graphs. The main aim of the book is to investigate the detailed structure of the soliton graphs and to classify these graphs. It turns out that the problem has an intimate connection with the study of the TNN part of the Grassmannians. The book also provides an elementary introduction to the recent development of the combinatorial aspect of the TNN Grassmannians and their parameterizations, which will be useful for solving the classification problem.
This work appeals to readers interested in real algebraic geometry, combinatorics, and soliton theory of integrable systems. It can serve as a valuable reference for an expert, a textbook for a special topics graduate course, or a source for independent study projects for advanced upper-level undergraduates specializing in physics and mathematics.
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KP Solitons and the Grassmannians
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Springer Nature Singapore Mrz 2017, 2017
ISBN 10 : 9811040931
ISBN 13 : 9789811040931
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians, in particular, the totally nonnegative (TNN) parts of the Grassmannians.The book begins with a brief introduction to the theory of the Kadomtsev-Petviashvili (KP) equation and its soliton solutions, called the KP solitons. Owing to the nonlinearity in the KP equation, the KP solitons form very complex but interesting web-like patterns in two dimensions. These patterns are referred to as soliton graphs. The main aim of the book is to investigate the detailed structure of the soliton graphs and to classify these graphs. It turns out that the problem has an intimate connection with the study of the TNN part of the Grassmannians. The book also provides an elementary introduction to the recent development of the combinatorial aspect of the TNN Grassmannians and theirparameterizations, which will be useful for solving the classification problem.This work appeals to readers interested in real algebraic geometry, combinatorics, and soliton theory of integrable systems. It can serve as a valuable reference for an expert, a textbook for a special topics graduate course, or a source for independent study projects for advanced upper-level undergraduates specializing in physics and mathematics. 152 pp. Englisch. N° de réf. du vendeur 9789811040931
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KP Solitons and the Grassmannians (eng)
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KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns (SpringerBriefs in Mathematical Physics, 22)
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KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns (SpringerBriefs in Mathematical Physics, 22)
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KP Solitons and the Grassmannians
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Springer Nature Singapore, 2017
ISBN 10 : 9811040931
ISBN 13 : 9789811040931
Neuf
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Is the first book to present a classification theory of two-dimensional patterns generated by the KP solitonsProvides an introduction to totally non-negative Grassmannians and introduces combinatorial tools to study the manifol. N° de réf. du vendeur 144588921
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KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns (SpringerBriefs in Mathematical Physics, 22)
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Kp Solitons and the Grassmannians: Combinatorics and Geometry of Two-dimensional Wave Patterns
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KP Solitons and the Grassmannians
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Springer, Springer Mär 2017, 2017
ISBN 10 : 9811040931
ISBN 13 : 9789811040931
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians, in particular, the totally nonnegative (TNN) parts of the Grassmannians.The book begins with a brief introduction to the theory of the Kadomtsev-Petviashvili (KP) equation and its soliton solutions, called the KP solitons. Owing to the nonlinearity in the KP equation, the KP solitons form very complex but interesting web-like patterns in two dimensions. These patterns are referred to as soliton graphs. The main aim of the book is to investigate the detailed structure of the soliton graphs and to classify these graphs. It turns out that the problem has an intimate connection with the study of the TNN part of the Grassmannians. The book also provides an elementary introduction to the recent development of the combinatorial aspect of the TNN Grassmannians and their parameterizations, which will be useful for solving the classification problem.This work appeals to readers interested in real algebraic geometry, combinatorics, and soliton theory of integrable systems. It can serve as a valuable reference for an expert, a textbook for a special topics graduate course, or a source for independent study projects for advanced upper-level undergraduates specializing in physics and mathematics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 152 pp. Englisch. N° de réf. du vendeur 9789811040931
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KP Solitons and the Grassmannians | Combinatorics and Geometry of Two-Dimensional Wave Patterns
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Taschenbuch. Etat : Neu. KP Solitons and the Grassmannians | Combinatorics and Geometry of Two-Dimensional Wave Patterns | Yuji Kodama | Taschenbuch | SpringerBriefs in Mathematical Physics | xii | Englisch | 2017 | Springer | EAN 9789811040931 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 108774984
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KP Solitons and the Grassmannians : Combinatorics and Geometry of Two-Dimensional Wave Patterns
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians, in particular, the totally nonnegative (TNN) parts of the Grassmannians.The book begins with a brief introduction to the theory of the Kadomtsev-Petviashvili (KP) equation and its soliton solutions, called the KP solitons. Owing to the nonlinearity in the KP equation, the KP solitons form very complex but interesting web-like patterns in two dimensions. These patterns are referred to as soliton graphs. The main aim of the book is to investigate the detailed structure of the soliton graphs and to classify these graphs. It turns out that the problem has an intimate connection with the study of the TNN part of the Grassmannians. The book also provides an elementary introduction to the recent development of the combinatorial aspect of the TNN Grassmannians and theirparameterizations, which will be useful for solving the classification problem.This work appeals to readers interested in real algebraic geometry, combinatorics, and soliton theory of integrable systems. It can serve as a valuable reference for an expert, a textbook for a special topics graduate course, or a source for independent study projects for advanced upper-level undergraduates specializing in physics and mathematics. N° de réf. du vendeur 9789811040931
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