Approximate Noether symmetries of perturbed Lagrangians and approximate conservation laws

2025/05/26 by Gorgone, M., Oliveri, F. · 1 citation
#34A05 #35-04 #58J70 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2505.20486

Abstract

In this paper, within the framework of the consistent approach recently introduced for approximate Lie symmetries of differential equations, we consider approximate Noether symmetries of variational problems involving small terms. Then, we state an approximate Noether theorem leading to the construction of approximate conservation laws. Some illustrative applications are presented.

Citations

• Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation
• ReLie: a Reduce program for Lie group analysis of differential equations

Cited by

• Direct approach to approximate conservation laws

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