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

JOURNAL OF GEOMETRY AND PHYSICS

卷:97

Article

Krasil'shchik, I. S.^1,2  Sergyeyev, A.² 

[1] Independent Univ Moscow, Moscow 119002, Russia

[2] Silesian Univ, Math Inst, Ponca City, OK 74601 USA

关键词: Nonlocal conservation laws;    Hamiltonian structures;    Recursion operator;    Shape operator;    Gauss-Codazzi equations;    S-deformable surfaces;   

DOI  :  10.1016/j.geomphys.2015.07.016

来源: Elsevier

【 摘 要 】

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). (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free