2 papers
nlin.SI2023
First integrals of nonlinear differential equations from nonlocal constants
Mattia Scomparin
A new method to find first integrals of nonlinear differential equations in Jacobi-type form is presented. The basic idea of our approach is to use one-parameter perturbed motions…
math-ph2022
Conserved currents from nonlocal constants in relativistic scalar field theories
Mattia Scomparin
Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They are a powerful tool to provide first integral…