Symmetry Analysis for a New Form of the Vortex Mode Equation
Mehdi Nadjafikhah, Ali Mahdipour--Shirayeh
TL;DR
This paper introduces a new form of the vortex mode equation through parameter transformation and analyzes its symmetries, invariants, and solutions, providing insights into its mathematical structure.
Contribution
The paper presents a novel form of the vortex mode equation and conducts a symmetry analysis, including invariants and solutions, which was not previously explored.
Findings
Identification of point and contact symmetries
Derivation of fundamental invariants
Construction of general solutions
Abstract
Giving a new form of the vortex mode equation by a proper change of parameter, our aim is to analyze the point and contact symmetries of the new equation. Fundamental invariants and a form of general solutions of point transformations along with some specific examples are also derived.
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
TopicsFluid Dynamics Simulations and Interactions · Experimental and Theoretical Physics Studies · Fluid Dynamics and Vibration Analysis