English

Non-autonomous Svinolupov Jordan KdV Systems

Exactly Solvable and Integrable Systems 2009-11-07 v1

Abstract

Non-autonomous Svinolupov-Jordan systems are considered. The integrability criteria of such systems are associated with the existence of recursion operators. A new non-autonomous KdV system is obtained and its recursion operator is given for all NN. The examples for N=2 and N=3 are studied in detail. Some possible transformations are also discussed which map some systems to autonomous cases.

Keywords

Cite

@article{arxiv.nlin/0101031,
  title  = {Non-autonomous Svinolupov Jordan KdV Systems},
  author = {Metin Gurses and Atalay Karasu and Refik Turhan},
  journal= {arXiv preprint arXiv:nlin/0101031},
  year   = {2009}
}

Comments

Latex file (amssymb), 10 pages

R2 v1 2026-07-22T18:07:43.090Z