English

Classification of integrable discrete Klein-Gordon models

Exactly Solvable and Integrable Systems 2015-05-20 v2

Abstract

The Lie algebraic integrability test is applied to the problem of classification of integrable Klein-Gordon type equations on quad-graphs. The list of equations passing the test is presented containing several well-known integrable models. A new integrable example is found, its higher symmetry is presented.

Keywords

Cite

@article{arxiv.1011.3364,
  title  = {Classification of integrable discrete Klein-Gordon models},
  author = {Ismagil T. Habibullin and Elena V. Gudkova},
  journal= {arXiv preprint arXiv:1011.3364},
  year   = {2015}
}

Comments

12 pages, submitted to Physica Scripta

R2 v1 2026-06-21T16:43:51.583Z