Results 31 to 40 of about 40,383 (355)

A study of Bogoyavlenskii’s (2+1)-dimensional breaking soliton equation: Lie symmetry, dynamical behaviors and closed-form solutions

Results in Physics, 2021
This paper employs the Lie symmetry analysis to investigate novel closed-form solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation.
Sachin Kumar, Hassan Almusawa, Shubham Kumar Dhiman, M.S. Osman, Amit Kumar   +4 more
doaj   +1 more source

Hamilton-Pontryagin Integrators on Lie Groups [PDF]

, 2007
In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
core   +1 more source

Nonlocal Symmetries of Systems of Evolution Equations

Advances in Mathematical Physics, 2011
We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. This fact is in the core of our approach to computation of potential and more general nonlocal symmetries of
Renat Zhdanov
doaj   +1 more source

Optical solitons with nonlocal-parabolic combo nonlinearity by Lie symmetry analysis coupled with modified G′/G-expansion

Results in Physics, 2019
This paper obtains optical soliton solutions with parabolic law nonlinearity coupled in nonlocal nonlinear medium. Lie symmetry analysis coupled with modified G′/G-expansion scheme retrieves these solitons.
Anupma Bansal, Anjan Biswas, Ali Saleh Alshomrani, Mehmet Ekici, Qin Zhou, Milivoj R. Belic   +5 more
doaj   +1 more source

Disconnected 0-form and 2-group symmetries

Journal of High Energy Physics, 2023
Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by
Lakshya Bhardwaj, Dewi S. W. Gould
doaj   +1 more source

On the form of Lie symmetries of systems with three pdes: The examples of two variable coefficient Hirota Satsuma systems

Partial Differential Equations in Applied Mathematics, 2023
We consider a general class of systems of three partial differential equations and we provide restrictions on the form of Lie symmetry operators admitted by such systems. When these restrictions are known in advance, the symmetry analysis becomes simpler.
K. Charalambous, S. Kontogiorgis, C. Sophocleous   +2 more
doaj   +1 more source

Lie symmetries of a Painleve-type equation without Lie symmetries

Journal of Nonlinear Mathematical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources

A triple construction for Lie bialgebras [PDF]

, 2005
We study the triple of a quasitriangular Lie bialgebra as a natural extension of the Drinfel’d double. The triple is itself a quasitriangular Lie bialgebra.
Grabowski, Jan
core   +1 more source

Higher-dimensional automorphic lie algebras

, 2016
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan, Sara Lombardo (4425862), Knibbeler, Vincent; id_orcid, Sara Lombardo, Jan A. Sanders, Knibbeler, Vincent, Vincent Knibbeler (4742670), Jan A Sanders (8467083), Lombardo, Sara, Sanders, Jan A., Lombardo, Sara; id_orcid, Vincent Knibbeler   +11 more
core   +1 more source

Constructing an explicit AdS/CFT correspondence with Cartan geometry

Nuclear Physics B, 2018
An explicit AdS/CFT correspondence is shown for the Lie group SO(4,2). The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry.
Jeffrey S. Hazboun
doaj   +1 more source