Published October 9, 2009 | Version v1
Journal article Metadata-only

Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations

Creators

  • 1. Mathematical Institute, Silesian University in Opava, Na RybnIcku 1, 746 01 Opava (Czech Republic)

Description

We construct infinite hierarchies of nonlocal higher symmetries for the oriented associativity equations using solutions of associated vector and scalar spectral problems. The symmetries in question generalize those found by Chen, Kontsevich and Schwarz (Nucl. Phys. B 730 352-63) for the WDVV equations. As a byproduct, we obtain a Darboux-type transformation and a (conditional) Baecklund transformation for the oriented associativity equations.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/42/40/404017

Additional details

Identifiers

DOI
10.1088/1751-8113/42/40/404017;
PII
S1751-8113(09)04192-4;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
42
Journal Issue
40
Journal Page Range
[15 p.]
ISSN
1751-8121

Conference

Title
2. workshop on nonlinearity and geometry
Dates
13-19 Apr 2008
Place
Bedlewo (Poland)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41054336
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BAECKLUND TRANSFORMATION; EQUATIONS; MATHEMATICAL SOLUTIONS; SCALARS; SOLUTIONS; SYMMETRY; VECTORS
Descriptors DEC
DISPERSIONS; HOMOGENEOUS MIXTURES; MIXTURES; TENSORS; TRANSFORMATIONS