Integrability of S-deformable surfaces: conservation laws, Hamiltonian structures and more
Exactly Solvable and Integrable Systems
2017-10-03 v3 Mathematical Physics
Differential Geometry
math.MP
Abstract
We present infinitely many nonlocal conservation laws, a pair of compatible local Hamiltonian structures and a recursion operator for the equations describing surfaces in three-dimensional space that admit nontrivial deformations which preserve both principal directions and principal curvatures (or, equivalently, the shape operator).
Keywords
Cite
@article{arxiv.1501.07171,
title = {Integrability of S-deformable surfaces: conservation laws, Hamiltonian structures and more},
author = {I. S. Krasil'shchik and A. Sergyeyev},
journal= {arXiv preprint arXiv:1501.07171},
year = {2017}
}
Comments
Minor revision