English

A unified approach to computation of integrable structures

Exactly Solvable and Integrable Systems 2012-07-17 v3 Mathematical Physics Differential Geometry math.MP

Abstract

We expose (without proofs) a unified computational approach to integrable structures (including recursion, Hamiltonian, and symplectic operators) based on geometrical theory of partial differential equations. We adopt a coordinate based approach and aim to provide a tutorial to the computations.

Keywords

Cite

@article{arxiv.1110.4560,
  title  = {A unified approach to computation of integrable structures},
  author = {Iosif Krasil'shchik and Alexander Verbovetsky and Raffaele Vitolo},
  journal= {arXiv preprint arXiv:1110.4560},
  year   = {2012}
}

Comments

19 pages, based on a talk on the SPT 2011 conference, http://www.sptspt.it/spt2011/ ; v2, v3: minor corrections

R2 v1 2026-06-21T19:23:20.715Z