Differential Equation Symmetry

A symmetry of a differential equation is a transformation that keeps its family of solutions invariant. Symmetry analysis can be used to solve some ordinary and partial differential equations, although determining the symmetries can be computationally intensive compared to other solution methods.

REFERENCES:

Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, pp. 331-344 and 426-433, 1997.