Nonpolynomial Constants of the Motion and Partial Separation of the Hamilton-Jacobi Equation

E. G. Kalnins; Willard Miller

doi:10.1080/00036818208839384

Nonpolynomial Constants of the Motion and Partial Separation of the Hamilton-Jacobi Equation

E. G. Kalnins, Willard Miller

School of Mathematics

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Abstract

We extend a method due to Woodhouse (for the construction of constants of the motion of the Hamilton-Jacobi equation from the knowledge of a separable coordinate) to the case where the separable coordinate is null. We show that in distinction to total separation, null partial separation can lead to strictly rational (nonpolynomial) constants of the motion.

Original language	English (US)
Pages (from-to)	127-137
Number of pages	11
Journal	Applicable Analysis
Volume	13
Issue number	2
DOIs	https://doi.org/10.1080/00036818208839384
State	Published - Jan 1 1982

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abstract = "We extend a method due to Woodhouse (for the construction of constants of the motion of the Hamilton-Jacobi equation from the knowledge of a separable coordinate) to the case where the separable coordinate is null. We show that in distinction to total separation, null partial separation can lead to strictly rational (nonpolynomial) constants of the motion.",

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N2 - We extend a method due to Woodhouse (for the construction of constants of the motion of the Hamilton-Jacobi equation from the knowledge of a separable coordinate) to the case where the separable coordinate is null. We show that in distinction to total separation, null partial separation can lead to strictly rational (nonpolynomial) constants of the motion.

AB - We extend a method due to Woodhouse (for the construction of constants of the motion of the Hamilton-Jacobi equation from the knowledge of a separable coordinate) to the case where the separable coordinate is null. We show that in distinction to total separation, null partial separation can lead to strictly rational (nonpolynomial) constants of the motion.

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Nonpolynomial Constants of the Motion and Partial Separation of the Hamilton-Jacobi Equation

Abstract

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