Abstract
By employing the terminology of functional differential calculus, Hamilton-Jacobi theory is extended to apply to classical field equations. It is shown that an asymptotic solution to the Hamilton-Jacobi functional differential equation provides an asymptotic general solution to the associated nonlinear classical field equations.
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Work supported by a National Science Foundation grant.
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Rosen, G. Hamilton-Jacobi functional theory for the integration of classical field equations. Int J Theor Phys 4, 281–285 (1971). https://doi.org/10.1007/BF00674281
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DOI: https://doi.org/10.1007/BF00674281