A Complex Lie-Symmetry Approach to Calculate First Integrals and Their Numerical Preservation

A Complex Lie-Symmetry Approach to Calculate First Integrals and Their Numerical Preservation

We calculated Noether-like operators and first integrals of a scalar second-order ordinary differential equation using the complex Lie-symmetry method. We numerically integrated the equations using a symplectic Runge–Kutta method. It was seen that these structure-preserving numerical metho...

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Bibliographic Details
Main Authors: Wajeeha Irshad, Yousaf Habib, Muhammad Umar Farooq
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Symmetry
Subjects:
Hamiltonian system
complex Lagrangian
Noether symmetries
first integrals
symplectic Runge–Kutta methods
Online Access:http://www.mdpi.com/2073-8994/11/1/11

Internet

http://www.mdpi.com/2073-8994/11/1/11

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