Completely and Partially Integrable Systems of Total Differential Equations

Details Completely and Partially Integrable Systems of Total Differential Equations Completely and Partially Integrable Systems of Total Differential Equations

2003-12-02

arxiv.org/abs/hep-th/0312031v1

Nuovo Cim. B118 (2003) 505-511

Physics

High Energy Physics

High Energy Physics - Theory

Latex

Scientific paper

10.1393/ncb/i2003-10044-1

Constrained Hamiltonian systems are investigated by using the Hamilton-Jacobi method. Integration of a set of equations of motion and the action function is discussed. It is shown that we have two types of integrable systems: a) ${\it Partially integrable systems}$, where the set of equations of motion is only integrable. b) {\it Completely integrable systems}, where the set of equations of motion and the action function is integrable. Two examples are studied.

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