English

A four component cubic peakon (4CH) equations

Exactly Solvable and Integrable Systems 2017-06-26 v3

Abstract

Two different four component Camassa-Holm (4CH) systems with cubic nonlinearity are proposed. The Lax pair and Hamiltonian structure are defined for both (CH) systems. The first (4CH) system include as a special case the (3CH) system considered by Xia, Zhou and Qiao, while the second contains the two-component generalization of Novikov system considered by Geng and Xiu.

Keywords

Cite

@article{arxiv.1511.00808,
  title  = {A four component cubic peakon (4CH) equations},
  author = {Ziemowit Popowicz},
  journal= {arXiv preprint arXiv:1511.00808},
  year   = {2017}
}

Comments

10 pages, minor changes

R2 v1 2026-06-22T11:35:25.995Z