Two-component generalizations of the Camassa-Holm equation
Exactly Solvable and Integrable Systems
2017-02-01 v1
Abstract
A classification of integrable two-component systems of non-evolutionary partial differential equations that are analogous to the Camassa-Holm equation is carried out via the perturbative symmetry approach. Independently, a classification of compatible pairs of Hamiltonian operators is carried out, which leads to bi-Hamiltonian structures for the same systems of equations. Some exact solutions and Lax pairs are also constructed for the systems considered.
Cite
@article{arxiv.1602.03431,
title = {Two-component generalizations of the Camassa-Holm equation},
author = {Andrew N. W. Hone and Vladimir Novikov and Jing Ping Wang},
journal= {arXiv preprint arXiv:1602.03431},
year = {2017}
}