Jacobi Last Multiplier and Lie Symmetries: A Novel Application of an Old Relationship

By Maria Clara Nucci. 2005

102 citations recorded by the source corpus.

Abstract After giving a brief account of the Jacobi last multiplier for ordinary differential equations and its known relationship with Lie symmetries, we present a novel application which exploits the Jacobi last multiplier to the purpose of finding Lie symmetries of first-order systems. Several illustrative examples are given.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/93a4fb716e8e37a51b19675932fb1b6cbf72051a