Results 21 to 30 of about 123,268 (267)

Conservation Laws and Symmetry Reductions of the Hunter–Saxton Equation via the Double Reduction Method

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, Winter Sinkala, Phetogo Masemola   +2 more
doaj   +1 more source

Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating

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, Muhammad Safdar, Safia Taj, Amad Zafar, Muhammad Umair Ali, Seung Won Lee   +5 more
doaj   +1 more source

From Lagrangian to Quantum Mechanics with Symmetries [PDF]

, 2012
We present an old and regretfully forgotten method by Jacobi which allows one to find many Lagrangians of simple classical models and also of nonconservative systems. We underline that the knowledge of Lie symmetries generates Jacobi last multipliers and
Ames W F, Bianchi L, Dodonov V V, Euler L, Helmholtz H, Jacobi C G J, Jacobi C G J, Jacobi C G J, Jacobi C G J, Lagrange J L, Lie S, Lie S, M C Nucci, Noether E, Nucci M C, Nucci M C, Nucci M C, Nucci M C, Nucci M C, Schuch D, Smith C E, Sonin N Ya, Volterra V, Whittaker E T   +23 more
core   +1 more source

Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility

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, K. Krishnakumar, K.M. Tamizhmani, Peter G.L. Leach   +3 more
doaj   +1 more source

Birkhoff’s Theorem and Lie Symmetry Analysis

Journal of High Energy Physics, Gravitation and Cosmology, 2021
Three dimensional space is said to be spherically symmetric if it admits SO(3) as the group of isometries. Under this symmetry condition, the Einsteins Field equations for vacuum, yields the Schwarzschild Metric as the unique solution, which essentially is the statement of the well known Birkhoffs Theorem.
Mukherjee, Avijit, Roy, Subham B
openaire   +3 more sources

Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation

Discrete Dynamics in Nature and Society, 2012
We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given.
Hongwei Yang, Yunlong Shi, Baoshu Yin, Huanhe Dong   +3 more
doaj   +1 more source

Ordinary differential equations described by their Lie symmetry algebra [PDF]

, 2014
The theory of Lie remarkable equations, i.e. differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations.
Manno, Gianni, Oliveri, Francesco, Saccomandi, Giuseppe, Vitolo, Raffaele   +3 more
core   +2 more sources

On Lie Symmetries of Hyperbolic Model Metric of SL(n, R) Geometry

پژوهش‌های ریاضی, 2020
Introduction ‎  Symmetries of an equation are closely related to conservation‎ laws‎. ‎Noether's theorem provides a method for finding conservation laws of differential‎ equations arising from a known Lagrangian and having a known Lie symmetry‎.
Rohollah Bakhshandeh Chamazkoti
doaj  

Lie symmetries of the Shigesada-Kawasaki-Teramoto system [PDF]

, 2016
The Shigesada-Kawasaki-Teramoto system, which consists of two reaction-diffusion equations with variable cross-diffusion and quadratic nonlinearities, is considered.
Cherniha, Roman, Davydovych, Vasyl', Muzyka, Liliia   +2 more
core   +2 more sources

Lie symmetries of a Painleve-type equation without Lie symmetries

Journal of Nonlinear Mathematical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources