Results 11 to 20 of about 605,265 (316)
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
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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
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Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System
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
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Experimental study of tensor invariants of Hamiltonian systems [PDF]
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.
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Published in Journal of Cryptology.
Lenstra, HW, Silverberg, A
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Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance
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
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Symmetry Reduced Model Checking for B [PDF]
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]
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 ...
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Exact solutions of equal-width equation and its conservation laws
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
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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
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