Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
Symmetry constraints for (2+1)-dimensional dispersionless integrable equations are considered. It is demonstrated that they naturally lead to systems of hydrodynamic type which arise within the reduction method. One also easily obtaines an associated complex curve (Sato function) and corresponding generating equations. Dispersionless KP and 2DTL hierarchy are considered as illustrative examples.
Keywords
Cite
@article{arxiv.nlin/0312013,
title = {Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type},
author = {L. V. Bogdanov and B. G. Konopelchenko},
journal= {arXiv preprint arXiv:nlin/0312013},
year = {2009}
}
Comments
16 pages, LaTeX