Symmetries of nonlinear ordinary differential equations: The modified Emden equation as a case study

Pramana

R Mohanasubha²  V K Chandrasekar¹  M Senthilvelan1² 

[1] symmetries and integrals are also discussed and illustrated through the same example.$$;symmetries and integrating factors and$$

关键词: Lie point symmetries;    𝜆-symmetries;    Noether symmetries;    contact symmetries;    adjoint symmetries;    nonlocal symmetries;    hidden symmetries;    telescopic vector fields.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Lie symmetry analysis is one of the powerful tools to analyse nonlinear ordinary differential equations. We review the effectiveness of this method in terms of various symmetries. We present the method of deriving Lie point symmetries, contact symmetries, hidden symmetries, nonlocal symmetries, 𝜆-symmetries, adjoint symmetries and telescopic vector fields of a secondorder ordinary differential equation. We also illustrate the algorithm involved in each method by considering a nonlinear oscillator equation as an example. The connections betweensymmetries and integrating factors and

【 授权许可】

Unknown