English

On Hamiltonian systems integrable in elliptic functions that describe waves over underwater banks and ridges

Exactly Solvable and Integrable Systems 2019-08-05 v1

Abstract

We discuss the 4-dimensional Hamiltonian systems that describe waves over underwater banks and ridges. The systems are exactly integrable in terms of elliptic functions and of solutions to nontrivial transcendental equations involving the elliptic integrals (Weierstrass' ζ\zeta-function).

Keywords

Cite

@article{arxiv.1908.00938,
  title  = {On Hamiltonian systems integrable in elliptic functions that describe waves over underwater banks and ridges},
  author = {Yu. Brezhnev and A. Tsvetkova},
  journal= {arXiv preprint arXiv:1908.00938},
  year   = {2019}
}

Comments

LaTeX, 6 pages