Analysis of Mathews-Lakshmanan Dynamical System via Prelle-Singer Method and lambda-Symmetry Approach


Orhan Ö. , Özer T.

14th Regional Conference on Mathematical Physics, Islamabad, Pakistan, 9 - 14 November 2015, pp.264-277 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Islamabad
  • Country: Pakistan
  • Page Numbers: pp.264-277

Abstract

In this study, we consider the Mathews-Lakshmanan oscillator equation as a nonlinear dynamical system. Firstly, the time independent integrals and analytical solutions for the Mathews-Lakshmanan oscillator equation are obtained by using the modified Prelle-Singer procedure as a different approach. We demonstrate that the equation is integrable with respect to its first integrals. Furthermore, the Lagrangian and Hamiltonian forms of the equation are investigated.