Results 31 to 40 of about 4,920,416 (295)

Lie symmetry analysis, explicit solutions, and conservation laws of the time-fractional Fisher equation in two-dimensional space

open access: yesJournal of Ocean Engineering and Science, 2022
In these analyses, we consider the time-fractional Fisher equation in two-dimensional space. Through the use of the Riemann-Liouville derivative approach, the well-known Lie point symmetries of the utilized equation are derived.
Rawya Al-Deiakeh   +3 more
doaj   +1 more source

Lie point symmetries of difference equations and lattices [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2000
A method is presented for finding the Lie point symmetry transformations acting simultaneously on difference equations and lattices, while leaving the solution set of the corresponding difference scheme invariant. The method is applied to several examples.
Levi, D., Tremblay, S., Winternitz, P.
openaire   +3 more sources

Random Lie-point symmetries of stochastic differential equations [PDF]

open access: yes, 2017
We study the invariance of stochastic differential equations under random diffeomorphisms and establish the determining equations for random Lie-point symmetries of stochastic differential equations, both in Ito and in Stratonovich forms.
Francesco Spadaro   +3 more
core   +1 more source

Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]

open access: yes, 2007
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core   +1 more source

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

open access: yesپژوهش‌های 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 a Painleve'-type equation without Lie symmetries

open access: yes, 2008
We use a method inspired by the Jacobi last multiplier [M. C. Nucci, Jacobi last multiplier and Lie symmetries: a novel application of an old relationship, J. Nonlinear Math. Phys.
NUCCI, Maria Clara
core   +1 more source

Lie symmetries and reductions via invariant solutions of general short pulse equation

open access: yesFrontiers in Physics, 2023
Around 1880, Lie introduced an idea of invariance of the partial differential equation (PDE) under one-parameter Lie group of transformation to find the invariant, similarity, or auto-model solutions.
Muhammad Mobeen Munir   +2 more
doaj   +1 more source

Some symmetries, similarity solutions and various conservation laws of a type of dispersive water waves

open access: yesAdvances in Difference Equations, 2019
We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions.
Yufeng Zhang, Na Bai, Hongyang Guan
doaj   +1 more source

Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation

open access: yesOpen Physics, 2017
For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point
Bruzón Maria S.   +3 more
doaj   +1 more source

Lie Symmetry Analysis, Exact Solutions, and Conservation Laws for the Generalized Time-Fractional KdV-Like Equation

open access: yesJournal of Function Spaces, 2021
In this paper, the problem of constructing the Lie point symmetries group of the nonlinear partial differential equation appeared in mathematical physics known as the generalized KdV-Like equation is discussed.
Maria Ihsane El Bahi, Khalid Hilal
doaj   +1 more source

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