Symmetry Analysis of Telegraph Equation
Mehdi Nadjafikhah, Seyed Reza Hejazi
TL;DR
This paper applies Lie symmetry group methods to analyze the Telegraph equation, identifying its symmetry group, optimal system, invariant solutions, and the structure of its Lie algebra.
Contribution
It provides a comprehensive symmetry analysis of the Telegraph equation, including the symmetry group, optimal system, invariant solutions, and Lie algebra structure.
Findings
Symmetry group of the Telegraph equation is characterized.
Group invariant solutions are explicitly derived.
The Lie algebra structure of symmetries is determined.
Abstract
Lie symmetry group method is applied to study the Telegraph equation. The symmetry group and its optimal system are given, and group invariant solutions associated to the symmetries are obtained. Finally the structure of the Lie algebra symmetries is determined.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Nonlinear Photonic Systems