Published December 5, 2008 | Version v1
Journal article

Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions

  • 1. Department of Physics, A Mickiewicz University, Umultowska 85, 61-614 Poznan (Poland)
  • 2. Department of Science and Technology, Campus Norrkoeping, Linkoeping University, 601-74 Norrkoeping (Sweden)

Description

We show how to generate coupled KdV hierarchies from Staeckel separable systems of Benenti type. We further show that the solutions of these Staeckel systems generate a large class of finite-gap and rational solutions for cKdV hierarchies. Most of these solutions are new

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/41/48/485202

Additional details

Identifiers

DOI
10.1088/1751-8113/41/48/485202;
PII
S1751-8113(08)81249-8;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
41
Journal Issue
48
Journal Page Range
[17 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40071480
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGORITHMS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL SOLUTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL LOGIC; PARTIAL DIFFERENTIAL EQUATIONS