Coverart for item
The Resource KP Solitons and the Grassmannians : Combinatorics and Geometry of Two-Dimensional Wave Patterns, by Yuji Kodama, (electronic resource)

KP Solitons and the Grassmannians : Combinatorics and Geometry of Two-Dimensional Wave Patterns, by Yuji Kodama, (electronic resource)

Label
KP Solitons and the Grassmannians : Combinatorics and Geometry of Two-Dimensional Wave Patterns
Title
KP Solitons and the Grassmannians
Title remainder
Combinatorics and Geometry of Two-Dimensional Wave Patterns
Statement of responsibility
by Yuji Kodama
Creator
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Kodama, Yuji
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • SpringerBriefs in Mathematical Physics,
Series volume
22
http://library.link/vocab/subjectName
  • Mathematics
  • Difference equations
  • Functional equations
  • Global analysis (Mathematics)
  • Manifolds (Mathematics)
  • Mathematical physics
Label
KP Solitons and the Grassmannians : Combinatorics and Geometry of Two-Dimensional Wave Patterns, by Yuji Kodama, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-981-10-4094-8
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-981-10-4094-8
Dimensions
unknown
Extent
1 online resource (XII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811040948
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-4094-8
Other physical details
19 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)980303630
Label
KP Solitons and the Grassmannians : Combinatorics and Geometry of Two-Dimensional Wave Patterns, by Yuji Kodama, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-981-10-4094-8
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-981-10-4094-8
Dimensions
unknown
Extent
1 online resource (XII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811040948
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-4094-8
Other physical details
19 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)980303630

Library Locations

    • Badia FiesolanaBorrow it
      Via dei Roccettini 9, San Domenico di Fiesole, 50014, IT
      43.803074 11.283055
Processing Feedback ...