Results 31 to 40 of about 2,411,038 (347)
Finding nonlocal Lie symmetries algorithmically [PDF]
, 2023 Here we present a new approach to compute symmetries of rational second order ordinary differential equations (rational 2ODEs). This method can compute Lie symmetries (point symmetries, dynamical symmetries and non-local symmetries) algorithmically.
da Mota, L. A. C. P. +2 more
core +1 more source
Lie symmetries of two-dimensional shallow water equations with variable bottom topography. [PDF]
Chaos, 2019 We carry out the group classification of the class of two-dimensional shallow water equations with variable bottom topography using an optimized version of the method of furcate splitting.
Alexander Bihlo +2 more
semanticscholar +1 more source
Automorphisms of real Lie algebras of dimension five or less [PDF]
, 2013 The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ +8 more
core +1 more source
Representations of sl(2,?) in category O and master symmetries [PDF]
, 2015 We show that the indecomposable sl(2,?)-modules in the Bernstein-Gelfand-Gelfand category O naturally arise for homogeneous integrable nonlinear evolution systems. We then develop a new approach called the O scheme to construct master symmetries for such
J. P. Wang, Wang, Jing Ping
core +1 more source
Mathematical and Computational Applications, 2023 This study investigates via Lie symmetry analysis the Hunter–Saxton equation, an equation relevant to the theoretical analysis of nematic liquid crystals.
Molahlehi Charles Kakuli +2 more
doaj +1 more source
Mathematics, 2022 We obtain similarity transformations to reduce a system of partial differential equations representing the unsteady fluid flow and heat transfer in a boundary layer with heat generation/absorption using Lie symmetry algebra.
Muhammad Bilal +5 more
doaj +1 more source
A hunter-gatherer–farmer population model: Lie symmetries, exact solutions and their interpretation [PDF]
European journal of applied mathematics, 2017 The Lie symmetry classification of the known three-component reaction–diffusion system modelling the spread of an initially localized population of farmers into a region occupied by hunter-gatherers is derived.
R. Cherniha, V. Davydovych
semanticscholar +1 more source
Mathematics, 2016 We perform a classification of the Lie point symmetries for the Black-Scholes-Merton Model for European options with stochastic volatility, σ, in which the last is defined by a stochastic differential equation with an Orstein-Uhlenbeck term.
Andronikos Paliathanasis +3 more
doaj +1 more source
Dust fluid component from Lie symmetries in Scalar field Cosmology [PDF]
, 2017 We show that in scalar-field cosmology, a dust fluid follows as quantum corrections from solutions of the Wheeler-DeWitt equation generated by Lie symmetries. The energy density of the dust fluid is related with the frequency of the wavefunction.
A. Paliathanasis
semanticscholar +1 more source
Analyzing the quantum approximate optimization algorithm: ans\"atze, symmetries, and Lie algebras [PDF]
The Quantum Approximate Optimization Algorithm (QAOA) has been proposed as a method to obtain approximate solutions for combinatorial optimization tasks.
Sujay Kazi +5 more
semanticscholar +1 more source