Article ID Journal Published Year Pages File Type
10414051 Communications in Nonlinear Science and Numerical Simulation 2014 31 Pages PDF
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.
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Physical Sciences and Engineering Engineering Mechanical Engineering
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