Published April 11, 2003
| Version v1
Journal article
The Whitham hierarchies: reductions and hodograph solutions
- 1. Departamento de Fisica Teorica II, Universidad Complutense, E28040 Madrid (Spain)
Description
A general scheme for analysing reductions of Whitham hierarchies is presented. It is based on a method for determining the S-function by means of a system of first-order partial differential equations. Compatibility systems of differential equations characterizing both reductions and hodograph solutions of Whitham hierarchies are obtained. The method is illustrated by exhibiting solutions of integrable models such as the dispersionless Toda equation (heavenly equation) and the generalized Benney system
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/4047/a31409.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/4047/a31409.pdf; http://www.iop.org/;
- PII
- S0305-4470(03)54168-3;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 14
- Journal Page Range
- p. 4047-4062
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34042162
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FUNCTIONS; INTEGRAL CALCULUS; MATHEMATICAL LOGIC; MATHEMATICAL MANIFOLDS; PARTIAL DIFFERENTIAL EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS