On the symmetries of a nonlinear non-polynomial oscillator
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- 作者：R. Mohanasubha ; M. Senthilvelan ; velan@cnld.bdu.ac.in" class="auth_mail" title="E-mail the corresponding author
- 关键词：λ-symmetries ; Telescopic vector fields ; Contact symmetries ; Mathews-Lakshmanan oscillator
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：43
- 期：Complete
- 页码：111-117
- 全文大小：414 K
文摘
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We propose a novel way to obtain different kinds of symmetries from λ-symmetries for a given second-order nonlinear ODE.
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The symmetry vector fields which we generate are adjoint-symmetries, contact symmetries and telescopic vector fields.
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The procedure is demonstrated for a nonlinear non-polynomial oscillator which lacks Lie point symmetries.