English

On a class of inhomogeneous extensions for integrable evolution systems

Exactly Solvable and Integrable Systems 2007-05-23 v1 Mathematical Physics Analysis of PDEs math.MP

Abstract

In the present paper we prove the integrability (in the sense of existence of formal symmetry of infinite rank) for a class of block-triangular inhomogeneous extensions of (1+1)-dimensional integrable evolution systems. An important consequence of this result is the existence of formal symmetry of infinite rank for "almost integrable" systems, recently discovered by Sanders and van der Kamp.

Keywords

Cite

@article{arxiv.nlin/0310032,
  title  = {On a class of inhomogeneous extensions for integrable evolution systems},
  author = {A. Sergyeyev},
  journal= {arXiv preprint arXiv:nlin/0310032},
  year   = {2007}
}

Comments

7 pages, LaTeX 2e, no figures, talk at the 8th International Conference on Differential Geometry and its Applications

R2 v1 2026-07-22T18:11:35.526Z