cosmic microwave background 1dark energy 1higher-dimensional pde 1hubble tension 1integrability 1kudryashov-sinelshchikov equation 1lie symmetries 1painleve analysis 1sigma8 tension 1wald-gauss-bonnet 1
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math-ph2024
Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame
Andronikos Paliathanasis, Amlan Halder
We perform a detailed Lie symmetry analysis for the hyperbolic system of partial differential equations that describe the one-dimensional Shallow Water magnetohydrodynamics equatio…
math-ph2024
Linearization of Newton's second law
Andronikos Paliathanasis
The geometric linearization of nonlinear differential equation is a robust method for the construction of analytic solutions. The method is related to the existence of Lie symmetri…
math-ph2024
Geometric Linearization for Constraint Hamiltonian Systems
Andronikos Paliathanasis
This study investigates the geometric linearization of constraint Hamiltonian systems using the Jacobi metric and the Eisenhart lift. We establish a connection between linearizatio…