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  KP solitons, higher Bruhat and Tamari orders

Müller-Hoissen, F., & Dimakis, A. (2012). KP solitons, higher Bruhat and Tamari orders. In F. Müller-Hoissen, J. M. Pallo, & J. Stasheff (Eds.), Associahedra, Tamari Lattices and Related Structures (pp. 391-423). Basel: Birkhäuser, Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-1123-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-1124-4
Genre: Book Chapter

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 Creators:
Müller-Hoissen, Folkert1, Author           
Dimakis, Aristophanes, Author
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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 Abstract: In a tropical approximation, any tree-shaped line soliton solution, a member of the simplest class of soliton solutions of the Kadomtsev-Petviashvili (KP-II) equation, determines a chain of planar rooted binary trees, connected by right rotation. More precisely, it determines a maximal chain of a Tamari lattice. We show that an analysis of these solutions naturally involves higher Bruhat and higher Tamari orders.

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Language(s): eng - English
 Dates: 2012
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 625480
DOI: 10.1007/978-3-0348-0405-9_19
 Degree: -

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Title: Associahedra, Tamari Lattices and Related Structures
Source Genre: Book
 Creator(s):
Müller-Hoissen, Folkert1, Editor           
Pallo, Jean Marcel, Editor
Stasheff, Jim, Editor
Affiliations:
1 Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285            
Publ. Info: Basel : Birkhäuser, Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 391 - 423 Identifier: -

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Title: Progress in Mathematics
Source Genre: Series
 Creator(s):
Bass, Hyman, Editor
Oesterle, Joseph, Editor
Tschinkel, Yuri, Editor
Weinstein, Alan, Editor
Affiliations:
-
Publ. Info: -
Pages: - Volume / Issue: 299 Sequence Number: - Start / End Page: - Identifier: -