Results 291 to 300 of about 2,411,038 (347)
Some of the next articles are maybe not open access.
Lie symmetries, optimal system and dynamics of exact solutions of (2+1)-dimensional KP-BBM equation
Physica Scripta, 2020The present research is devoted to carry out Lie group classification and optimal system of one-dimensional subalgebras of KP–BBM equation. The equation describes bidirectional small amplitude and weakly dispersive long waves in nonlinear dispersive ...
Dig Vijay Tanwar, A. Wazwaz
semanticscholar +1 more source
Einstein's vacuum field equation: Painlevé analysis and Lie symmetries
Waves in Random and Complex Media, 2019The current study deals with investigation of Einstein's vacuum field equation for exploring movable critical points. We employ first the Painlevé analysis, and then we use the auto-Bäcklund transformation.
L. Kaur, A. Wazwaz
semanticscholar +1 more source
Communications in Theoretical Physics
In this paper, the Lie symmetry analysis method is applied to the time-fractional Boussinesq–Burgers system which is used to describe shallow water waves near an ocean coast or in a lake.
Ji-Cheng Yu, Yu-Qiang Feng
semanticscholar +1 more source
In this paper, the Lie symmetry analysis method is applied to the time-fractional Boussinesq–Burgers system which is used to describe shallow water waves near an ocean coast or in a lake.
Ji-Cheng Yu, Yu-Qiang Feng
semanticscholar +1 more source
Random Lie symmetries of Itô stochastic differential equations
Journal of Physics A: Mathematical and Theoretical, 2018Lie point symmetries of stochastic differential equations (SDEs) which include transformations depending on the Brownian motion are considered. The corresponding Lie group transformations, acting in the space of the independent variable (time), the ...
R. Kozlov
semanticscholar +1 more source
Lie Symmetries of Ishimori Equation
Communications in Theoretical Physics, 2013Summary: The Ishimori equation is one of the most important (2+1)-dimensional integrable models, which is an integrable generalization of (1+1)-dimensional classical continuous Heisenberg ferromagnetic spin equations. Based on the importance of Lie symmetries in analysis of differential equations, in this paper we derive Lie symmetries for the Ishimori
openaire +1 more source
Lie symmetries and superintegrability
Journal of Physics A: Mathematical and Theoretical, 2012We show that a known superintegrable system in two-dimensional real Euclidean space (Post and Winternitz 2011 J. Phys. A: Math. Theor. 44 162001) can be transformed into a linear third-order equation: consequently we construct many autonomous integrals?polynomials up to order 18?for the same system.
M.C. Nucci, S. Post
openaire +1 more source
Annals of Physics, 1986
Optical systems are investigated with respect to their symmetries. Special emphasis is paid to refracting surfaces, which have no strict equivalents in mechanics. The \({\mathfrak so}(3)\)-symmetry of a spherical surface is discussed which allows the recursive calculation of its aberration coefficients. Explicit results are given for coefficients up to
openaire +2 more sources
Optical systems are investigated with respect to their symmetries. Special emphasis is paid to refracting surfaces, which have no strict equivalents in mechanics. The \({\mathfrak so}(3)\)-symmetry of a spherical surface is discussed which allows the recursive calculation of its aberration coefficients. Explicit results are given for coefficients up to
openaire +2 more sources
Symmetries of Hamiltonian Systems on Lie Algebroids
Journal of Mathematical Sciences, 2023Lie algebroids are a generalization of tangent bundles and Lie algebras. Hamiltonian systems are introduced on Lie algebroids, and Jacobi endomorphisms and dynamical covariant derivatives allow to define infinitesimal symmetries and Noether theory on Lie algebroids.
openaire +2 more sources
Related Evolution Equations and Lie Symmetries
SIAM Journal on Mathematical Analysis, 1985The problem of classification of evolution equations \[ (1)\quad v_ t=K(y^ 1,...,y^ n,v,\partial^{i_ 1+...+i_ n}v/\partial y^{i_ 1}...\partial y_ n^{i_ n}), \] where \(y_ 1,...,y_ n\) are space coordinates, with respect to transformations (2) \(t=t(s,x)\), \(y^ j=y^ j(s,x)\), \(v=v(s,x,u)\) is discussed. In general, the right- hand side of the equation
Kalnins, E. G., Miller, Willard jun.
openaire +1 more source
Lie symmetries and integrability
Physics Letters A, 1987Abstract All two-dimensional time independent potentials admitting point Lie symmetries and Noether symmetries are presented here. Excluding the potentials admitting time translation and dilation symmetries only, they form a small subclass of the known integrable potentials.
openaire +1 more source