Linearisable hierarchy of evolution equations in (1+1) dimensions
Exactly Solvable and Integrable Systems
2007-05-23 v2
Abstract
In our article "A tree of linearisable second-order evolution equations by generalised hodograph transformations" [J. Nonlin. Math. Phys. {\bf 8} (2001), 342-362] we presented a tree of linearisable (C-integrable) second-order evolution equations in (1+1) dimensions. Expanding this result we report here the complete set of recursion operators for this tree and present several linearisable (C-integrable) hierarchies in (1+1) dimensions.
Cite
@article{arxiv.nlin/0205047,
title = {Linearisable hierarchy of evolution equations in (1+1) dimensions},
author = {Marianna Euler and Norbert Euler and Niclas Petersson},
journal= {arXiv preprint arXiv:nlin/0205047},
year = {2007}
}
Comments
22 pages