Results 101 to 110 of about 2,043,284 (342)

Symmetry, Symmetry Breaking and Topology [PDF]

open access: yesSymmetry, 2010
The ground state of a system with symmetry can be described by a group G. This symmetry group G can be discrete or continuous. Thus for a crystal G is a finite group while for the vacuum state of a grand unified theory G is a continuous Lie group. The ground state symmetry described by G can change spontaneously from G to one of its subgroups H as the ...
openaire   +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  

Langrangian formulation and solitary wave solutions of a generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity in physical sciences and engineering

open access: yesJournal of Ocean Engineering and Science, 2023
This paper presents analytical studies carried out explicitly on a higher-dimensional generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity arising in engineering and nonlinear science.
Chaudry Masood Khalique   +1 more
doaj  

An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation

open access: yesOpen Physics, 2020
In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent   +1 more
doaj   +1 more source

The equation of state and symmetry energy of low density nuclear matter

open access: yes, 2014
The symmetry energy of nuclear matter is a fundamental ingredient in the investigation of exotic nuclei, heavy-ion collisions and astrophysical phenomena.
Hagel, K., Natowitz, J. B., Röpke, G.
core   +1 more source

Neural Network Adaptive Control With Long Short‐Term Memory

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
ABSTRACT In this study, we propose a novel adaptive control architecture that provides dramatically better transient response performance compared to conventional adaptive control methods. This is accomplished by the synergistic employment of a traditional adaptive neural network (ANN) controller and a long short‐term memory (LSTM) network.
Emirhan Inanc   +4 more
wiley   +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  

Symmetry Breaking Constraints: Recent Results [PDF]

open access: yes, 2012
Symmetry is an important problem in many combinatorial problems. One way of dealing with symmetry is to add constraints that eliminate symmetric solutions.
Walsh, Toby
core   +1 more source

Analysis of Temperature and Stress Distribution on the Bond Properties of Hybrid Tailored Formed Components

open access: yesAdvanced Engineering Materials, EarlyView.
Hybrid materials enable high‐performance components but are challenging to process. This study explores an inductive heating concept with spray cooling for steel–aluminum specimens in a two‐step process including friction welding and cup backward extrusion.
Armin Piwek   +7 more
wiley   +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  

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