Jordan Manifolds and Dispersionless KdV Equations

DOI

10.2991/jnmp.2000.7.4.7How to use a DOI?

Abstract

Multicomponent KdV-systems are defined in terms of a set of structure constants and, as shown by Svinolupov, if these define a Jordan algebra the corresponding equations may be said to be integrable, at least in the sense of having higher-order symmetries, recursion operators and hierarchies of conservation laws. In this paper the dispersionless limits of these Jordan KdV equations are studied, under the assumptions that the Jordan algebra has a unity element and a compatible non-degenerate inner product. Much of this structure may be encoded in a so-called Jordan manifold, akin to a Frobenius manifold. In particular the Hamiltonian properties of these systems are investigated.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - I.A.B. Strachan
PY  - 2000
DA  - 2000/11/01
TI  - Jordan Manifolds and Dispersionless KdV Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 495
EP  - 510
VL  - 7
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2000.7.4.7
DO  - 10.2991/jnmp.2000.7.4.7
ID  - Strachan2000
ER  -