KP Solitons and the Grassmannians (Record no. 427000)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03857nam a22005055i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9789811040948 |
| -- | 978-981-10-4094-8 |
| 024 7# - | |
| -- | 10.1007/978-981-10-4094-8 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA401-425 |
| 050 #4 - | |
| -- | QC19.2-20.85 |
| 072 #7 - | |
| -- | PHU |
| -- | bicssc |
| 072 #7 - | |
| -- | SCI040000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PHU |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kodama, Yuji. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | KP Solitons and the Grassmannians |
| Medium | [electronic resource] : |
| Remainder of title | Combinatorics and Geometry of Two-Dimensional Wave Patterns / |
| Statement of responsibility, etc | by Yuji Kodama. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Singapore : |
| Name of producer, publisher, distributor, manufacturer | Springer Singapore : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2017. |
| 300 ## - | |
| -- | XII, 138 p. 19 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | SpringerBriefs in Mathematical Physics, |
| -- | 2197-1757 ; |
| -- | 22 |
| 505 0# - | |
| -- | 1 Introduction to KP theory and KP solitons -- 2 Lax-Sato formulation of the KP hierarchy -- 3 Two-dimensional solitons -- 4 Introduction to the real Grassmannian -- 5 The Deodhar decomposition for the Grassmannian and the positivity -- 6 Classification of KP solitons -- 7 KP Solitons on Gr(N,2N)≥0 -- 8 Soliton graphs -- References. |
| 520 ## - | |
| -- | 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. |
| 650 #0 - | |
| -- | Functional equations. |
| 650 #0 - | |
| -- | Global analysis. |
| 650 14 - | |
| -- | Mathematical Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M35000 |
| 650 24 - | |
| -- | Difference and Functional Equations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12031 |
| 650 24 - | |
| -- | Global Analysis and Analysis on Manifolds. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12082 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811040931 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811040955 |
| 830 #0 - | |
| -- | SpringerBriefs in Mathematical Physics, |
| -- | 2197-1757 ; |
| -- | 22 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-981-10-4094-8 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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