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arXiv · hep-th/0312031

Completely and Partially Integrable Systems of Total Differential Equations

Sami I. Muslih
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Abstract

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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Sami I. Muslih. 2003-12-02. Completely and Partially Integrable Systems of Total Differential Equations. https://doi.org/10.1393/ncb%2Fi2003-10044-1

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