Results 11 to 20 of about 605,265 (316)

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

On symmetry and duality [PDF]

open access: yesSynthese, 2019
AbstractWe advocate an account of dualities between physical theories: the basic idea is that dual theories are isomorphic representations of a common core. We defend and illustrate this account, which we call a Schema, in relation to symmetries. Overall, the account meshes well with standard treatments of symmetries.
Sebastian De Haro, Jeremy Butterfield
openaire   +5 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

Experimental study of tensor invariants of Hamiltonian systems [PDF]

open access: yesTheoretical and Applied Mechanics
Typically, one considers the problem of finding the minimum number of invariants of a dynamical system sufficient for integrability. It can be also assumed that there are invariants not related to integrability that describe other properties of the ...
Tsiganov A. V.
doaj   +1 more source

Lattices with Symmetry [PDF]

open access: yesJournal of Cryptology, 2016
Published in Journal of Cryptology.
Lenstra, HW, Silverberg, A
openaire   +6 more sources

Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance

open access: yesAbstract and Applied Analysis, 2014
We carry out group classification of a general bond-option pricing equation. We show that the equation admits a three-dimensional equivalence Lie algebra.
Tanki Motsepa   +2 more
doaj   +1 more source

Symmetry Reduced Model Checking for B [PDF]

open access: yes, 2007
Symmetry reduction is a technique that can help alleviate the problem of state space explosion in model checking. The idea is to verify only a subset of states from each class (orbit) of symmetric states.
Edd Turner   +7 more
core   +1 more source

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

Exact solutions of equal-width equation and its conservation laws

open access: yesOpen Physics, 2019
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood   +2 more
doaj   +1 more source

On the solutions and conserved vectors for the two-dimensional second extended Calogero-Bogoyavlenskii-Schiff equation

open access: yesResults in Physics, 2021
This paper studies the second extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation in (2+1)–dimensions, which was proposed in the literature a short time ago.
Chaudry Masood Khalique, Anila Mehmood
doaj   +1 more source

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