Published March 8, 2010 | Version v1
Journal article Metadata-only

Darboux-Baecklund Transformations and Rational Solutions of the Painleve IV Equation

Creators

  • 1. Department of Physics, University of Illinois at Chicago, Chicago, Illinois 60607 (United States)
  • 2. Instituto de Fisica Teorica-UNESP, 01140-070 Sao Paulo (Brazil)

Description

Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive actions of the Darboux-Baecklund transformations.

Additional details

Identifiers

DOI
10.1063/1.3367030;
arXiv
arXiv:0903.3421v1;

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
1212
Journal Issue
1
Journal Page Range
p. 146-153
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
1. international workshop on nonlinear and modern mathematical physics
Dates
15-21 Jul 2009
Place
Beijing (China)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41101503
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BAECKLUND TRANSFORMATION; LAX THEOREM; MATHEMATICAL SOLUTIONS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; TRANSFORMATIONS

Optional Information

Notes
(c) 2010 American Institute of Physics