The nonlinear dynamics of coupled 𝒫𝒯-symmetric excitations and Toda-like vibrations on a one-dimensional lattice are studied analytically and elucidated graphically. The nonlinear exciton-phonon sys
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian operators in three different computer algebra systems: Maple, Reduce and Mathematica. This class of Ham
Abstract An implementation of the algebra of pseudo differential operators in the computer algebra system AXIOM is described. In several examples the application of the package to typical computatio
Relativistic Hamiltonian systems of $n$ degrees of freedom in static curved spaces are considered. The source of space-time curvature is a scalar potential $V(\vq)$. In the limit of weak potential $2V
