Results 1 to 10 of about 33,448 (315)
CONSERVATION LAWS AND SYMMETRY ANALYSIS OF (1+1)-DIMENSIONAL SAWADA-KOTERA EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper addresses an extended (1+1)-dimensional Sawada-Kotera (SK) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation.
S. R. Hejazi, E. Lashkarian
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Lie symmetry, discrete symmetry and supersymmetry of the Pauli Hamiltonian [PDF]
Czechoslovak Journal of Physics, 2001 Starting from the full group of symmetries of a system we select a discrete subset of transformations which allows to introduce the Clifford algebra of operators generating new supercharges of extended supersymmetry. The system defined by the Pauli Hamiltonian is discussed.
Frydryszak, Andrzej M. +1 more
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Results in Physics, 2023 In this paper the system of equations arising from a simplified micromorphic model is studied using the Lie symmetry approach. The advantage of this approach is that is provides exact invariant solutions rather than numerical or approximate ones reported
M. Usman +3 more
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Lie Algebras of Approximate Symmetries
Journal of Nonlinear Mathematical Physics, 1996 In the paper the properties of approximate symmetries of equations with a small parameter are discussed. It turns out that approximate symmetries form an approximate Lie algebra. A concept of approximate invariants is introduced and the algorithm of their calculating is proposed. All assertions presented in the paper are not supplied with the proofs.
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Lie point symmetries of differential–difference equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 17 pages, 1 ...
LEVI, Decio, Winternitz P, Yamilov RI
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Disturbation to Lie symmetry for constrained Hamiltonian system within Agrawal’s operators
AIP AdvancesLie theorem for a constrained Hamiltonian system under Agrawal’s operators is studied and proved. First, two fractional singular systems are listed.
Shi-Lei Shen, Chuan-Jing Song
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Non-Lie Symmetries and Supersymmetries
Journal of Nonlinear Mathematical Physics, 1995 The paper deals with the non-Lie symmetries for the Schrödinger equation \[ \begin{aligned} &L\psi(t,x)=0,\qquad L=i\partial_t -H,\\ &H = \frac 12(-\partial_x^2+U(x)),\quad \partial_t\equiv \frac{\partial}{\partial t},\quad \partial_x\equiv \frac{\partial}{\partial x}, \end{aligned}\tag{1} \] where \(U(x)\) is an arbitrary function of the only spatial ...
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Lie groups and continuum mechanics: where do we stand today?
Comptes Rendus. MécaniqueThe geometric methods have experienced a fast growth in the past few decades. In this survey, we discuss the use of Lie groups in continuum mechanics. We address both the theoretical and numerical aspects.
de Saxcé, Géry, Razafindralandy, Dina
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Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry
Abstract and Applied Analysis, 2013 By use of the Lie symmetry group methods we analyze the relationship between the first integrals of the simplest linear third-order ordinary differential equations (ODEs) and their point symmetries. It is well known that there are three classes of linear
K. S. Mahomed, E. Momoniat
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Dimsym and LIE: Symmetry determination packages
Mathematical and Computer Modelling, 1997 The authors describe the features of two software packages named DIMSYM and LIE. While LIE is written in LISP and runs under DOS the DIMSYM package is written in REDUCE. Both packages are dealing with Lie symmetries of differential equations. The paper includes examples and lists commands of the packages giving explainations of their functionality ...
Sherring, J., Head, A. K., Prince, G. E.
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