Symmetries of the Hamilton–Jacobi equation

DOI10.1063/1.523364zbMath0347.35022OpenAlexW1993279664WikidataQ126201881 ScholiaQ126201881MaRDI QIDQ4116795

Ernest G. Kalnins, Charles P. Boyer

Publication date: 1977

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523364

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Other special methods applied to PDEs (35A25)

Related Items (4)

Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture ⋮ Symmetry and separation of variables for the Hamilton–Jacobi equation W2t−W2x −W2y =0 ⋮ The optical group and its subgroups ⋮ Group theoretical aspects of constants of motion and separable solutions in classical mechanics

Cites Work

• Killing tensors and the separation of the Hamilton-Jacobi equation
• About the non-relativistic structure of the conformal algebra
• On a Normal Form of the Orthogonal Transformation I
• Lie theory and separation of variables. 6. The equation i U t + Δ2U = 0
• Prolongation structures of nonlinear evolution equations
• Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. I. Complete separation
• Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
• Symmetry and separation of variables for the Helmholtz and Laplace equations
• Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψt t − Δ2Ψ = 0
• Symmetry breaking interactions for the time dependent Schrödinger equation
• Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
• Invariance Group of the Equation$\partial {\bf u} / \partial t = - {\bf u} \cdot \nabla {\bf u}$
• Internal Structure of Spinning Particles

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