Results 31 to 40 of about 605,265 (316)

ON THE SYMMETRIES OF INTEGRABILITY [PDF]

International Journal of Modern Physics B, 1992
We show that the Yang-Baxter equations for two-dimensional models admit as a group of symmetry the infinite discrete group [Formula: see text]. The existence of this symmetry explains the presence of a spectral parameter in the solutions of the equations.
Bellon, M., Maillard, J.-M., Viallet, C.
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Symmetries, Traveling Wave Solutions, and Conservation Laws of a (3+1)-Dimensional Boussinesq Equation

Advances 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, Chaudry Masood Khalique   +1 more
doaj   +1 more source

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

Results 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

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

Journal 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, Chaudry Masood Khalique   +1 more
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A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis

Results 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, Aeeman Fatima, Chaudry Masood Khalique   +2 more
doaj   +1 more source

A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach

Results in Physics, 2020
In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct ...
Chaudry Masood Khalique, Oke Davies Adeyemo   +1 more
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Conditional symmetry model as a better alternative to Symmetry Model for rater agreement measure [PDF]

, 2004
In almost all life or social science researches, subjects are classified into categories by raters, interviewers or observers. Many approaches have been proposed by various authors for analyzing the data or the results obtained from these raters ...
Toutenburg, Helge, Heumann, Christian, Adejumo, A. O.   +2 more
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Symmetries of Symmetry Breaking Constraints

, 2010
Symmetry is an important feature of many constraint programs. We show that any problem symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry class. This simple but powerful idea can be used in a number of different ways.
George Katsirelos, Toby Walsh
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On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics

Open 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

Symmetry Is Related to Sexual Dimorphism in Faces: Data Across Culture and Species [PDF]

, 2008
Summary Background Many animals both display and assess multiple signals. Two prominently studied traits are symmetry and sexual dimorphism, which, for many animals, are proposed cues to heritable fitness benefits.
Marlow, Frank W., Jones, Benedict C, Perrett, David I., Feinberg, D.R., Waitt Corri, Jones, Benedict Christopher, Anthony C Little, David I Perrett, Waitt, Corri, Tiddeman, Bernard Paul, Coren L Apicella, Marlowe, Frank W, Apicella Coren L., Little, Anthony Charles, Corri Waitt, Apicella, Coren L, Marlowe, F.W., Apicella, Coren, Little, Anthony C., Little Anthony C., Waitt, C., Feinberg David R., Tiddeman, Bernard P., Jones, B.C., Feinberg, David Russell, Apicella, C.L., Little, Anthony, Perrett, David I, Marlowe Frank W., Feinberg, David R., Tiddeman Bernard P., Marlowe, Frank W., Benedict C Jones, Bernard P Tiddeman, Feinberg, David R, Apicella, Coren L., Tiddeman, Bernard P, David R Feinberg, Perrett David I., Apicella, C.A., Jones, Benedict C., Frank W Marlowe, Little, Anthony C, Perrett, D.I., Jones Benedict C., Tiddeman, B.P., Perrett, David Ian, Little, A.C.   +47 more
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