Published March 4, 2011 | Version v1
Journal article Metadata-only

Ultradiscrete Pluecker relation specialized for soliton solutions

Creators

  • 1. Faculty of Science and Engineering, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555 (Japan)

Description

We propose an ultradiscrete analog of the Pluecker relation specialized for soliton solutions. It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the permanent, that is, the signature-free determinant. Using this relation, we also show soliton solutions to the ultradiscrete Kadomtsev-Petviashvili equation and the ultradiscrete two-dimensional Toda lattice equation, respectively.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/44/9/095202

Additional details

Identifiers

DOI
10.1088/1751-8113/44/9/095202;
PII
S1751-8113(11)77935-5;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
44
Journal Issue
9
Journal Page Range
[18 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43067294
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
EQUATIONS; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; SOLITONS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
QUASI PARTICLES