Results 1 to 10 of about 1,997,176 (295)

Bifurcation Theory, Lie Group-Invariant Solutions of Subalgebras and Conservation Laws of a Generalized (2+1)-Dimensional BK Equation Type II in Plasma Physics and Fluid Mechanics

open access: yesMathematics, 2022
The nonlinear phenomena in numbers are modelled in a wide range of fields such as chemical physics, ocean physics, optical fibres, plasma physics, fluid dynamics, solid-state physics, biological physics and marine engineering.
Oke Davies Adeyemo   +2 more
doaj   +1 more source

First integrals, solutions and conservation laws of the derivative nonlinear Schrödinger equation

open access: yesPartial Differential Equations in Applied Mathematics, 2022
We study the derivative nonlinear Schrödinger equation which has several applications, such as the propagation of circular polarized nonlinear Alfvén waves in plasmas.
Chaudry Masood Khalique   +2 more
doaj   +1 more source

Symmetry Methods and Conservation Laws for the Nonlinear Generalized 2D Equal-Width Partial Differential Equation of Engineering

open access: yesMathematics, 2021
In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
doaj   +1 more source

Exact Solutions and Conserved Vectors of the Two-Dimensional Generalized Shallow Water Wave Equation

open access: yesMathematics, 2021
In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are computed first and then used to perform symmetry reductions.
Chaudry Masood Khalique, Karabo Plaatjie
doaj   +1 more source

Practitioner Profile: An Interview with Anne Brennan Malec, Ph.D.

open access: yesJournal of Financial Therapy, 2015
Dr. Anne Brennan Malec is the founder and managing partner of Symmetry Counseling, a counseling, coaching, and psychotherapy group practice located in downtown Chicago. She has been the driving force behind Symmetry Counseling’s success – what started in
Anne Brennan Malec
doaj   +1 more source

Symmetry-break in Voronoi tessellations [PDF]

open access: yes, 2009
We analyse in a common framework the properties of the Voronoi tessellations resulting from regular 2D and 3D crystals and those of tessellations generated by Poisson distributions of points, thus joining on symmetry breaking processes and the approach ...
Symmetry-break In Voronoi Tessellations   +1 more
core   +4 more sources

Group Invariant Solutions and Conserved Quantities of a (3+1)-Dimensional Generalized Kadomtsev–Petviashvili Equation

open access: yesMathematics, 2020
In this work, we investigate a (3+1)-dimensional generalised Kadomtsev–Petviashvili equation, recently introduced in the literature. We determine its group invariant solutions by employing Lie symmetry methods and obtain elliptic, rational and ...
Innocent Simbanefayi   +1 more
doaj   +1 more source

Spontaneous Symmetry Breaking and Chiral Symmetry [PDF]

open access: yes, 2000
In this introductory lecture, some basic features of the spontaneous symmetry breaking are discussed. More specifically, $\sigma $-model, non-linear realization, and some examples of spontaneous symmetry breaking in the non-relativistic system are ...
Li, Ling-Fong
core   +2 more sources

Chiral Symmetry Restoration and $Z_N$ Symmetry [PDF]

open access: yes, 1995
We demonstrate that chiral symmetry restoration in quenched finite temperature QCD depends crucially on the $Z_3$ phase of the Polyakov loop ${\cal P}$.
Meisinger, Peter N., Ogilvie, Michael C.
core   +2 more sources

Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System

open access: yesAbstract and Applied Analysis, 2014
We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method.
Catherine Matjila   +2 more
doaj   +1 more source

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