© 2014 Published by Elsevier Ltd. We characterize when the three-dimensional cored galactic Hamiltonian system with Hamiltonian H=1/2(px2+py2+pz2/q)+√1+x2+y2+z2/q, is completely meromorphically integrable when q∈[0.36,1]. The key point for this characterization is to transform the non-polynomial cored Hamiltonian system into a polynomial one.
|Journal||Applied Mathematics Letters|
|Publication status||Published - 1 Jan 2015|
- Meromorphic first integrals
- Three-dimensional cored galactic