58 citations · 477 across the 49 of their papers we have counts for
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physics.class-ph2022★ 4 cited
A New Fundamental Asymmetric Wave Equation and its Application to Acoustic Wave Propagation
Z. E. Musielak
The irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asy…
physics.class-ph2021★ 7 cited
Nonstandard Null Lagrangians and gauge Functions for Newtonian Law of Inertia
Z. E. Musielak
New null Lagrangians and gauge functions are derived and they are called nonstandard because their forms are different than those previously found. The invariance of the action is…
physics.class-ph2020★ 10 cited
Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
L. C. Vestal, Z. E. Musielak
The Lagrange formalism is developed for Bateman oscillators, which include both damped and amplified systems, and a novel method to derive the Caldirola-Kanai and null Lagrangians…