The lambda-symmetry reduction method and Jacobi last multipliers

作者：Muriel C^*; Romero J L

来源：Communications in Nonlinear Science & Numerical Simulation, 2014, 19(4): 807-820.

DOI：10.1016/j.cnsns.2013.07.027

• Jacobi last multiplier
• lambda-Symmetry
• First integral

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 lambda-symmetry. For the reduction derived from a lambda-symmetry, JLMs are inherited as integrating factors of the auxiliary equations. Several ways that have appeared recently to solve the determining equations of the lambda-symmetries are also analysed. Two examples illustrate the combined use of lambda-symmetries and JLMs to obtain the complete solution of the equations.

• 出版日期2014-4