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Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Nuclear Physics B, 2018 Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
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Lie group analysis for short pulse equation [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
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Generalized Lie symmetries and almost regular Lagrangians: a link between symmetry and dynamics
Journal of Physics Communications, 2023 The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the evolution of dynamical systems is determined. It is found that if the action has a generalized Lie symmetry, then the Lagrangian is necessarily singular ...
Achilles D Speliotopoulos
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Lie algebra classification for the Chazy equation and further topics related with this algebra.
Revista Politécnica, 2021 It is known that the classification of the Lie algebras is a classical problem. Due to Levi’s Theorem the question can be reduced to the classification of semi-simple and solvable Lie algebras.
Yeisson Alexis Acevedo-Agudelo +3 more
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Results in Physics, 2021 The present study is devoted to obtaining some exact generalized solutions and new solitary wave solutions for a (2+1)-dimensional nonlinear rth dispersionless Dym (rdDym) equation by utilizing the Lie symmetry analysis. The Lie infinitesimals, geometric
Sachin Kumar +2 more
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Entropy, 2020 A conditional Lie-Bäcklund symmetry method and differential constraint method are developed to study the radially symmetric nonlinear convection-diffusion equations with source.
Lina Ji, Rui Wang
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Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein. [PDF]
PLoS ONE, 2013 Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells.
Jen-Cheng Wang +5 more
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Journal of Taibah University for Science, 2022 This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
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Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation
Abstract and Applied Analysis, 2014 Lie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. The Lie invariants associated with the symmetry generators as well as the corresponding similarity reduced
Mehdi Nadjafikhah, Mostafa Hesamiarshad
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Complexity, 2020 In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
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