Many force–gradient explicit symplectic integration algorithms have been designed for the Hamiltonian H=T(p)+V(q) with kinetic energy T(p)=p2/2 in existing references. When a operator is appropriately adjusted as new operator, it still suitable class of problems H=K(p,q)+V(q) integrable part K(p,q)=?i=1n?j=1naijpipj+?i=1nbipi, where aij=aij(q) and bi=bi(q) are functions coordinates q. The newly...