scholarly journals Enhanced Symmetry Analysis of Two-Dimensional Burgers System

2018 ◽  
Vol 163 (1) ◽  
pp. 91-128 ◽  
Author(s):  
Stavros Kontogiorgis ◽  
Roman O. Popovych ◽  
Christodoulos Sophocleous
Keyword(s):  
Symmetry Analysis ◽  
Two Dimensional ◽  
Burgers System

scholarly journals Two-dimensional Weyl points and nodal lines in pentagonal materials and their optical response

Nanoscale ◽  
2021 ◽  
Author(s):  
Sergio Bravo ◽  
M. Pacheco ◽  
V. Nuñez ◽  
J. D. Correa ◽  
Leonor Chico
Keyword(s):  
First Principles ◽  
Optical Response ◽  
Symmetry Analysis ◽  
Two Dimensional ◽  
First Principles Calculations ◽  
Nodal Lines

A symmetry analysis combined with first-principles calculations of two-dimensional pentagonal materials (PdSeTe, PdSeS, InP5 and GeBi2) based on the Cairo tiling reveal nontrivial spin textures, nodal lines and Weyl points.

New variable separation solutions of two-dimensional Burgers system

2011 ◽  
Vol 217 (22) ◽  
pp. 9189-9197 ◽  
Author(s):  
Yusuf Gurefe ◽  
Emine Misirli
Keyword(s):  
Two Dimensional ◽  
Variable Separation ◽  
Burgers System

scholarly journals Nonclassical Symmetry Analysis of Boundary Layer Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Rehana Naz ◽  
Mohammad Danish Khan ◽  
Imran Naeem
Keyword(s):  
Boundary Layer ◽  
Exact Solutions ◽  
Similarity Solution ◽  
Symmetry Analysis ◽  
Two Dimensional ◽  
Boundary Layer Equations ◽  
Nonclassical Symmetry ◽  
Nonclassical Symmetries

The nonclassical symmetries of boundary layer equations for two-dimensional and radial flows are considered. A number of exact solutions for problems under consideration were found in the literature, and here we find new similarity solution by implementing the SADE package for finding nonclassical symmetries.

scholarly journals Symmetry Analysis of Double-ikat Textile Patterns: Patan Patola and Geringsing

2018 ◽  
Vol 1 (2) ◽  
pp. 59
Author(s):  
Nyoman Dewi Pebryani
Keyword(s):  
Symmetry Group ◽  
Ethnic Groups ◽  
Symmetry Analysis ◽  
Point Symmetry ◽  
Two Dimensional ◽  
High Similarity ◽  
One Dimensional ◽  
Symmetry Classes ◽  
Close Relationship

Symmetry analysis of the patterns appearing in the Patan Patola and Geringsing textiles produced by the double ikat technique in India and Indonesia can provide information about cultural relationship between these two ethnic groups. Symmetry, which describes the motion which generates a repeated design, are categorized under classes based on the theory of symmetry group. This study used 8 textile samples: 4 Patan Patola textiles and 4 Geringsing textiles collected from an exhibition catalogue. Each sample was then examined based on the symmetry group classes using three categories: point symmetry and one-dimensional and two-dimensional classes. The results show a high similarity in these symmetry classes for the samples from these two ethnic groups, suggesting the patterns have a common connection. Patan Patola and Geringsing textile patterns admitted p111 and d4 in all samples, indicating intense interaction. Hence, this study provides additional evidence of a close relationship between the areas that produce these textiles

scholarly journals Two Dimensional Laplace Transform Coupled with the Marichev–Saigo–Maeda Integral Operator and the Generalized Incomplete Hypergeometric Function

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2420
Author(s):  
Yasir Khan ◽  
Adnan Khan ◽  
Muhammad Shaeel ◽  
Ali Akgül
Keyword(s):  
Integral Operator ◽  
Laplace Transform ◽  
Hypergeometric Function ◽  
Integral Operators ◽  
Symmetry Analysis ◽  
Two Dimensional ◽  
New Perspective

This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev–Saigo–Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new perspective on the Marichev–Saigo–Maeda operators and incomplete functions. In addition, we have included some interesting results, such as left-sided Saigo–Maeda operators and right-sided Saigo–Maeda operators, making this a good direction for symmetry analysis.

scholarly journals Residual Symmetries and Bäcklund Transformations of (2 + 1)-Dimensional Strongly Coupled Burgers System

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Haifeng Wang ◽  
Yufeng Zhang
Keyword(s):  
General Theory ◽  
Bäcklund Transformation ◽  
Symmetry Analysis ◽  
Point Symmetry ◽  
Backlund Transformation ◽  
Linear Superposition ◽  
Strongly Coupled ◽  
Residual Symmetry ◽  
Commutative Subalgebra ◽  
Burgers System

In this article, we mainly apply the nonlocal residual symmetry analysis to a (2 + 1)-dimensional strongly coupled Burgers system, which is defined by us through taking values in a commutative subalgebra. On the basis of the general theory of Painlevé analysis, we get a residual symmetry of the strongly coupled Burgers system. Then, we introduce a suitable enlarged system to localize the nonlocal residual symmetry. In addition, a Bäcklund transformation is derived by Lie’s first theorem. Further, the linear superposition of the multiple residual symmetries is localized to a Lie point symmetry, and an N-th Bäcklund transformation is also obtained.

scholarly journals Comments on the Paper “Lie Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Spatially Two-Dimensional Burgers–Huxley Equation”

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 900
Author(s):  
Roman Cherniha
Keyword(s):  
Conservation Laws ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Explicit Solutions ◽  
Two Dimensional ◽  
Lie Symmetry Analysis ◽  
Huxley Equation

This comment is devoted to the paper “Lie Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Spatially Two-Dimensional Burgers–Huxley Equation” (Symmery, 2020, vol.12, 170), in which several results are either incorrect, or incomplete, or misleading.

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