Published October 30, 2009 | Version v1
Journal article

Negative semi-discrete KP and BKP hierarchies via nonlocal symmetries

  • 1. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190 (China)

Description

In this paper, nonlocal symmetries for the bilinear semi-discrete Kadomtsev-Petviashvili (KP) and bilinear semi-discrete B-type KP (BKP) equations are derived. By expanding these nonlocal symmetries in power series of each of two parameters, we have derived bilinear negative semi-discrete KP and BKP hierarchies. An interesting observation is that bilinear positive and negative semi-discrete KP hierarchies may be derived from the same nonlocal symmetry for the semi-discrete KP equation.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/42/45/454022

Additional details

Identifiers

DOI
10.1088/1751-8113/42/45/454022;
PII
S1751-8113(09)10908-3;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
42
Journal Issue
45
Journal Page Range
[12 p.]
ISSN
1751-8121

Conference

Title
International conference on symmetries and integrability of difference equations
Acronym
SIDE 8
Dates
22-28 Jun 2008
Place
Ste-Adele, PQ (Canada)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41054151
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Resource subtype / Literary indicator
Conference
Descriptors DEI
EQUATIONS; POWER SERIES; SYMMETRY
Descriptors DEC
SERIES EXPANSION