KP Solitons and the Grassmannians Combinatorics and Geometry of Two-Dimensional Wave Patterns /

• Κύριος συγγραφέας: Kodama, Yuji (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Σειρά: SpringerBriefs in Mathematical Physics, 22
• Θέματα: Mathematics.; Difference equations.; Functional equations.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical physics.; Mathematical Physics.; Difference and Functional Equations.; Global Analysis and Analysis on Manifolds.

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 Grassma...

Πίνακας περιεχομένων:

• 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.