Results 51 to 60 of about 111,630 (280)
Nonlinear Analysis, 2015 The Lie group analysis method is performed for the nonlinear perturbed Burgers equation and the time fractional nonlinear perturbed Burgers equation. All of the point symmetries of the equations are constructed.
Gangwei Wang, Tianzhou Xu
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International Journal of Differential Equations, 2023 In this study, the classical Lie symmetry method is successfully applied to investigate the symmetries of the time-fractional generalized foam drainage equation with the Riemann–Liouville derivative.
Maria Ihsane El Bahi, Khalid Hilal
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, 1997 The symmetry algebra $P_\infty = W_\infty \oplus H \oplus I_\infty$ of integrable systems is defined. As an example the classical Sophus Lie point symmetries of all higher KP equations are obtained.
Orlov, A. Yu., Winternitz, P.
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SPG4 and Dementia: Expanding the Clinical Spectrum
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Hereditary spastic paraplegia (HSP) is a group of disorders characterized by progressive spasticity and lower limb weakness, with mutations in SPG4/SPAST being the most common cause. Detailed studies and clinical and molecular comparisons across different populations are missing.
Emanuele Panza +19 more
wiley +1 more source
ON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS
Acta Polytechnica, 2016 In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show a few examples, both in partial differential and partial difference equations where this happens.
Giorgio Gubbiotti +2 more
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Lie-Point Symmetries Preserved by Derivative
Geometry Integrability and Quantization, 2020 Conditions to guarantee that a point symmetry X of an nth-order differential equation q(n) − ω = 0 is simultaneously a point symmetry of its derived equation q(n+1) − ω = 0 are analyzed, and the possible types of vector fields established. It is further shown that only the simple Lie algebra sl(2, R) for a very specific type of realization in the plane
openaire +2 more sources
Autonomous three dimensional Newtonian systems which admit Lie and Noether point symmetries
, 2012 We determine the autonomous three dimensional Newtonian systems which admit Lie point symmetries and the three dimensional autonomous Newtonian Hamiltonian systems, which admit Noether point symmetries.
Andronikos Paliathanasis +10 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Chimeric antigen receptor (CAR) T‐cell therapy has been investigated in neurological diseases, encompassing both central nervous system malignancies and autoimmune disorders, thereby extending its application beyond hematological cancers.
Omar Alqaisi +5 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo +88 more
wiley +1 more source
Group Analysis of Equal-Width Equation
European Journal of Mathematical Analysis, 2023 We study a third-order nonlinear equal width equation, which has been used for simulation of a one-dimensional wave propagation in a non-linear medium with dispersion process, by symmetry analysis.
Joseph Owuor Owino
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