On the integration of the nonconservative Hamilton's dynamical equations

Abstract

This paper exhibits a method of integrating Hamilton's canonical equations of motion by supposing that one component of the momentum vector can be represented as a field depending on time, generalized coordinates and the rest of the components of the momentum vector. The motion of a conservative or nonconservative dynamical system can be determined by purely algebraic operations if a complete solution of a quasi-linear partial differential equation is known. The method is knually suitable for initial and boundary value problems. © 1981.