The Hamiltonian equation provides us an alternate description of the basic physical laws of motion, which is used to be described by Newton’s law. The research on Hamiltonian integrable systems is one of the most important topics in the theory of solitons. This article proposes a new hierarchy of integrable systems of 1 + 2 dimensions with its Hamiltonian form by following the residue approach ...

In this paper we propose the time&fitness-dependent Hamiltonian form of human biomechanics, in which total mechanical + biochemical energy is not conserved. Starting with the Covariant Force Law, we first develop autonomous Hamiltonian biomechanics. Then we extend it using a powerful geometrical machinery consisting of fibre bundles, jet manifolds, polysymplectic geometry and Hamiltonian connec...