New families of integrable two-dimensional systems with quartic second integrals
Exactly Solvable and Integrable Systems
2013-08-08 v1
Abstract
The method introduced in (Yehia H M 2006 J. Phys. A: Math. Gen. 39 5807-5824) and (Yehia H M 2012 J. Phys. A: Math. Gen. 45 395209) is extended to construct new families of several-parameter integrable systems, which admit a complementary integral quartic in the velocities. A total of 12 new systems are obtained, with a number of parameters ranging from 7 up to 16 parameters.
Keywords
Cite
@article{arxiv.1308.1442,
title = {New families of integrable two-dimensional systems with quartic second integrals},
author = {H. M. Yehia and A. M. Hussein},
journal= {arXiv preprint arXiv:1308.1442},
year = {2013}
}