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Archive entry:

## KP Solitons and the Grassmannians (2017) (?)

ISBN:

### 9789811040948 (?) or 981104094X

, unknown language, Springer, Springer, Springer, New, ebook, digital downloadin-stock

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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Category: Physics

Keywords: KP Solitons and the Grassmannians Yuji Kodama Mathematical Physics Physics 9789811040948

Data from 05/11/2017 18:01h

ISBN (alternative notations): 981-10-4094-X, 978-981-10-4094-8

Keywords: KP Solitons and the Grassmannians Yuji Kodama Mathematical Physics Physics 9789811040948

Data from 05/11/2017 18:01h

ISBN (alternative notations): 981-10-4094-X, 978-981-10-4094-8

Archive entry:

## KP Solitons and the Grassmannians - Combinatorics and Geometry of Two-Dimensional Wave Patterns (?)

ISBN:

### 9789811040948 (?) or 981104094X

, unknown language, Springer-Verlag, New, ebook, digital downloadebook for download

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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Category: Bücher

Keywords: Technik,Wissen > Mathematik

Data from 05/11/2017 18:01h

ISBN (alternative notations): 981-10-4094-X, 978-981-10-4094-8

Keywords: Technik,Wissen > Mathematik

Data from 05/11/2017 18:01h

ISBN (alternative notations): 981-10-4094-X, 978-981-10-4094-8

## KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns (SpringerBriefs in Mathematical Physics) (2017) (?)

ISBN:

### 9789811040948 (?) or 981104094X

, in english, 138 pages, Springer, New, first edition, ebook, digital download**SGD 63.76 (£ 35.99)¹**(free shipping, without obligation)

ebook for download, Free shipping.

From Seller/Antiquarian

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., Kindle Edition, Edition: 1st Ed. 2017, Format: Kindle eBook, Label: Springer, Springer, Product group: eBooks, Published: 2017-03-24, Release date: 2017-03-24, Studio: Springer

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Platform order number Amazon.co.uk: B073H8KWJX

Keywords: Books, Science & Nature, Mathematics, Calculus & Mathematical Analysis, Differential Equations, Physics, Popular Science, Maths, Scientific, Technical & Medical, Kindle Store, Kindle eBooks, Science & Maths, Mathematical Physics

Data from 08/16/2017 20:53h

ISBN (alternative notations): 981-10-4094-X, 978-981-10-4094-8

Keywords: Books, Science & Nature, Mathematics, Calculus & Mathematical Analysis, Differential Equations, Physics, Popular Science, Maths, Scientific, Technical & Medical, Kindle Store, Kindle eBooks, Science & Maths, Mathematical Physics

Data from 08/16/2017 20:53h

ISBN (alternative notations): 981-10-4094-X, 978-981-10-4094-8

### 9789811040948

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