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Relationship between symmetries andconservation laws
AH Kara, FM Mahomed - International Journal of Theoretical Physics, 2000 - Springer
The fundamental relation between Lie-Bäcklund symmetry generators andconservation laws
of an arbitrary differential equation is derived without regardto a Lagrangian formulation of …
of an arbitrary differential equation is derived without regardto a Lagrangian formulation of …
Noether-type symmetries and conservation laws via partial Lagrangians
AH Kara, FM Mahomed - Nonlinear Dynamics, 2006 - Springer
We show how one can construct conservation laws of Euler-Lagrange-type equations via
Noether-type symmetry operators associated with what we term partial Lagrangians. This is …
Noether-type symmetry operators associated with what we term partial Lagrangians. This is …
Conserved vectors and solutions of the two-dimensional potential KP equation
CM Khalique, MYT Lephoko - Open Physics, 2023 - degruyter.com
This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which
describes the evolution of small-amplitude nonlinear long waves with slow transverse …
describes the evolution of small-amplitude nonlinear long waves with slow transverse …
Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system
P Wang - Nonlinear Dynamics, 2012 - Springer
Perturbation to Noether symmetries and adiabatic invariants of discrete nonholonomic
nonconservative mechanical systems on an uniform lattice are investigated. Firstly, we …
nonconservative mechanical systems on an uniform lattice are investigated. Firstly, we …
Group theoretic methods for approximate invariants and Lagrangians for some classes of y ″+ εF (t) y′+ y= f (y, y′)
Some recent results on the Lie symmetry generators of equations with a small parameter
and the relationship between symmetries and conservation laws for such equations are …
and the relationship between symmetries and conservation laws for such equations are …
[HTML][HTML] Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter
AG Johnpillai, AH Kara, FM Mahomed - Journal of Computational and …, 2009 - Elsevier
We show how one can construct approximate conservation laws of approximate Euler-type
equations via approximate Noether-type symmetry operators associated with partial …
equations via approximate Noether-type symmetry operators associated with partial …
Variational formulation of approximate symmetries and conservation laws
AG Johnpillai, AH Kara - International Journal of Theoretical Physics, 2001 - Springer
We show how the conserved vectors and associated (approximate) Lie symmetry generators
of a partial differential equation with a small parameter can be utilized to construct …
of a partial differential equation with a small parameter can be utilized to construct …
Second-order approximate symmetries of the geodesic equations for the Reissner-Nordström metric and re-scaling of energy of a test particle
I Hussain, FM Mahomed, A Qadir - SIGMA. Symmetry, Integrability and …, 2007 - emis.de
Following the use of approximate symmetries for the Schwarzschild spacetime by AH Kara,
FM Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact …
FM Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact …
Approximate symmetries and conservation laws for mechanical systems described by mixed derivative perturbed PDEs
A Shamaoon, P Agarwal… - Žurnal Ìnženernih …, 2023 - iris.uninettunouniversity.net
This article focuses on develo** and applying approximation techniques to derive
conservation laws for the Timoshenko–Prescott mixed derivatives perturbed partial …
conservation laws for the Timoshenko–Prescott mixed derivatives perturbed partial …
Energy of the Bardeen model using an approximate symmetry method
In this paper, we investigate the energy problem in general relativity using approximate Lie
symmetry methods for differential equations. This procedure is applied to the Bardeen model …
symmetry methods for differential equations. This procedure is applied to the Bardeen model …