Results 21 to 30 of about 727,533 (258)

Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation

open access: yesAdvances in Mathematical Physics, 2014
We analyze the (3+1)-dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the (3+1)-dimensional Boussinesq equation by utilizing the Lie symmetry method along with the simplest equation method.
Letlhogonolo Daddy Moleleki   +1 more
doaj   +1 more source

Stability analysis, symmetry solutions and conserved currents of a two-dimensional extended shallow water wave equation of fluid mechanics

open access: yesPartial Differential Equations in Applied Mathematics, 2021
This paper analytically investigates a new (2+1)-dimensional extended shallow water wave equation. Lie group theory along with direct integration is used to achieve some solutions of the equation.
Oke Davies Adeyemo   +1 more
doaj   +1 more source

A computational group theoretic symmetry reduction package for the SPIN model checker [PDF]

open access: yes, 2006
Symmetry reduced model checking is hindered by two problems: how to identify state space symmetry when systems are not fully symmetric, and how to determine equivalence of states during search.
Miller, A   +8 more
core   +1 more source

Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations

open access: yesJournal of Applied Mathematics, 2012
We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations.
Isaiah Elvis Mhlanga   +1 more
doaj   +1 more source

On the solutions and conservation laws of the Yu–Toda–Sasa–Fukuyama equation of plasma physics

open access: yesResults in Physics, 2021
In this work, we investigate the two-dimensional Yu–Toda–Sasa–Fukuyama equation, which has many applications in plasma physics and other fields of study in natural sciences.
Karabo Plaatjie, Chaudry Masood Khalique
doaj   +1 more source

On the Notions of Symmetry and Aperiodicity for Delone Sets [PDF]

open access: yes, 2012
Baake M, Grimm U. On the Notions of Symmetry and Aperiodicity for Delone Sets. Symmetry. 2012;4(4):566-580.Non-periodic systems have become more important in recent years, both theoretically and practically. Their description via Delone sets requires the
Uwe Grimm   +3 more
core   +1 more source

Chemistry: Symmetry/Asymmetry

open access: yes, 2023
All kinds of symmetry-related problems in organic and inorganic chemistry may be the subject of papers submitted to Symmetry [...
György Keglevich
core   +1 more source

A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis

open access: yesResults in Physics, 2016
An analytical approach based on the compatibility concept is employed to solve a nonlinear reaction–diffusion model arising in mathematical biology. The solution process makes it extremely easy to obtain a relatively accurate closed-form solution of the ...
Taha Aziz   +2 more
doaj   +1 more source

On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics

open access: yesOpen Physics, 2018
In this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it.
Motsepa Tanki, Masood Khalique Chaudry
doaj   +1 more source

Conservation Laws for a Variable Coefficient Variant Boussinesq System

open access: yesAbstract and Applied Analysis, 2014
We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which
Ben Muatjetjeja, Chaudry Masood Khalique
doaj   +1 more source

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