English

Some new integrable systems of two-component fifth order equations

Exactly Solvable and Integrable Systems 2016-08-19 v1 Mathematical Physics Analysis of PDEs Dynamical Systems math.MP

Abstract

In this work we develop some fifth-order integrable coupled systems of weight 00 and 11 which possess seventh-order symmetry. We establish four new systems, where in some cases, related recursion operator and bi-Hamiltonian formulations are given. We also investigate the integrability of the developed systems.

Keywords

Cite

@article{arxiv.1608.05125,
  title  = {Some new integrable systems of two-component fifth order equations},
  author = {Daryoush Talati and Abdul-Majid Wazwaz},
  journal= {arXiv preprint arXiv:1608.05125},
  year   = {2016}
}

Comments

16 pages. This paper is merger of complete version of a draft with archive number arXiv:1305.4567 and some other possible new systems

R2 v1 2026-06-22T15:22:51.364Z