Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10414051 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 31 Pages |
Abstract
For nth order ordinary differential equations, it is studied the role of a Jacobi last multiplier (JLM) in the reduction processes that arise from the existence of either a k parametric symmetry group or a λ-symmetry. For the reduction derived from a λ-symmetry, JLMs are inherited as integrating factors of the auxiliary equations. Several ways that have appeared recently to solve the determining equations of the λ-symmetries are also analysed. Two examples illustrate the combined use of λ-symmetries and JLMs to obtain the complete solution of the equations.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
C. Muriel, J.L. Romero,