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Lie Algebras of Approximate Symmetries
Journal of Nonlinear Mathematical Physics, 1996 In the paper the properties of approximate symmetries of equations with a small parameter are discussed. It turns out that approximate symmetries form an approximate Lie algebra. A concept of approximate invariants is introduced and the algorithm of their calculating is proposed. All assertions presented in the paper are not supplied with the proofs.
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Lie Symmetry Analysis for Cosserat Rods [PDF]
, 2014 12 Pages, 1 ...
Dominik Ludewig Michels +4 more
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FEBS Letters, EarlyView.Heterodimeric amino acid transporters consist of SLC7 and SLC3 family proteins arranged in a conserved structural organization. They regulate nutrient transport across cell membranes, supporting essential cellular functions. These transporters also contribute to xenobiotic/drug uptake and distribution.
Mariafrancesca Scalise +5 more
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On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems
Mathematics, 2022 The problem of finding Lie point symmetries for a certain class of multi-dimensional nonlinear partial fractional differential equations and their systems is studied.
Stanislav Yu. Lukashchuk
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On q-deformed symmetries as Poisson–Lie symmetries and application to Yang–Baxter type models [PDF]
, 2016 Yang–Baxter type models are integrable deformations of integrable field theories, such as the principal chiral model on a Lie group G or σ-models on (semi-)symmetric spaces G/F.
F. Delduc +3 more
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Non-Lie Symmetries and Supersymmetries
Journal of Nonlinear Mathematical Physics, 1995 The paper deals with the non-Lie symmetries for the Schrödinger equation \[ \begin{aligned} &L\psi(t,x)=0,\qquad L=i\partial_t -H,\\ &H = \frac 12(-\partial_x^2+U(x)),\quad \partial_t\equiv \frac{\partial}{\partial t},\quad \partial_x\equiv \frac{\partial}{\partial x}, \end{aligned}\tag{1} \] where \(U(x)\) is an arbitrary function of the only spatial ...
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FEBS Letters, EarlyView.Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
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Lie symmetries of difference equations
, 2001 The discrete heat equation is worked out to illustrate the search of symmetries of difference equations. Special attention it is paid to the Lie structure of these symmetries, as well as to their dependence on the derivative's discretization. The case of
LEVI, Decio, Negro J, del Olmo MA
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Lie symmetries of Benjamin-Ono equation
Mathematical Biosciences and Engineering, 2021 <abstract><p>Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses on the Lie symmetry analysis
Weidong Zhao +3 more
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FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
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