Results 21 to 30 of about 342,930 (267)
Mathematics, 2020 In this article, we examine a (3+1)-dimensional generalized breaking soliton equation which is highly applicable in the fields of engineering and nonlinear sciences.
Chaudry Masood Khalique +1 more
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Detection of symmetry and anti-symmetry
Vision Research, 2005 To assess the role of second-order channels in symmetry perception we measured the effects of check size, spatial frequency content, eccentricity and grey scale range on the detection of symmetrical and anti-symmetrical patterns. Thresholds for symmetrical stimuli were only moderately affected by these manipulations.
Mancini, Sandra +2 more
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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 +1 more
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On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
Partial Differential Equations in Applied Mathematics, 2021 In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators
Karabo Plaatjie, Chaudry Masood Khalique
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Journal 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
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Symmetry impedes symmetry discrimination
Journal of Vision, 2005 Objects in the world, natural and artificial alike, are often bilaterally symmetric. The visual system is likely to take advantage of this regularity to encode shapes for efficient object recognition. The nature of encoding a symmetric shape, and of encoding any departure from it, is therefore an important matter in visual perception. We addressed this
Tjan, B., Liu, Z.
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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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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 +1 more
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Partial 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
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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 +1 more
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