%0 Journal Article
%T Lie Symmetries and Exact Solutions of 2D Proper-Time MaxwellˇŻs Equations
%A Joshua Owolabi Adeleke
%J Open Access Library Journal
%V 12
%N 10
%P 1-9
%@ 2333-9721
%D 2025
%I Open Access Library
%R 10.4236/oalib.1114285
%X We present a Lie symmetry classification of 2D proper-time Maxwell&#8217;s equations, deriving an 8-dimensional Lie algebra and constructing rotationally invariant Bessel function solutions and self-similar solutions with Hadamard regularization. A central-difference/Verlet scheme is stable under the standard Courant condition for numerical solutions. The results model transverse plasma waves in relativistic jets and particle beams in plasma wakefield accelerators <a href="#ref1">[1]</a>, preserving causality via <math xmlns='http://www.w3.org/1998/Math/MathML'>
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 is the similarity variable.Subject AreasElectric Engineering, Theoretical Physics
%K Electrical Engineering
%K Theoretical Physics
%K Lie Symmetry Analysis
%K Proper-Time Formulation
%K MaxwellˇŻs Equations
%K Conservation Laws
%K Exact Solutions
%K 2D Wave Equation
%U http://www.oalib.com/paper/6874884