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arXiv · 1501.07171

Integrability of S-deformable surfaces: conservation laws, Hamiltonian structures and more

I. S. Krasil'shchik·A. Sergyeyev
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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).

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I. S. Krasil'shchik, A. Sergyeyev. 2015-08-03. Integrability of S-deformable surfaces: conservation laws, Hamiltonian structures and more. https://doi.org/10.1016/j.geomphys.2015.07.016

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