Add to ORKGThe present work considers the Lie group analysis of a system of linear wave type perturbed systems. The methodology is based on finding approximate symmetry operators of a given system. Approximate conservation laws are found via an approximate version of Noether’s theorem. This is based on the modified Noether’s method provided by Ibragimov. Finally a numerical method is applied to solve the considered system.Key words: Approximate symmetry, approximate conservation laws, Noether’s theorem, non-linear self-adjointness, Legendre polynomials
The method of one parameter, point symmetric, approximate Lie group invariants is applied to the pro...
M.Sc.In this work we concentrate on two generalizations of Lie symmetries namely conditional symmetr...
In this thesis the stability of the Lie group invariance of classical solutions of large classes of ...
AbstractWe show how one can construct approximate conservation laws of approximate Euler-type equati...
In this paper, within the framework of the consistent approach recently introduced for approximate L...
The formal model of physical systems is typically made in terms of differential equations. Conservat...
Some recent results on approximate Lie group methods and previously developed concepts on potential ...
Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly...
This thesis is devoted to use Lie group analysis to obtain all invariant solutions by constructing o...
The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which m...
Conservation laws play an important role in science. The aim of this thesis is to provide an overvie...
The Lie group method is applied to the third order variant Boussinesq system, which arises in the mo...
We discuss the properties of a perturbed nonlinear wave equation whose coefficients depend on the fi...
A system of nonlinear di fferential equations, namely, the Belousov-Zhabotinskii reaction model has ...
We introduce a method of approximate nonclassical Lie-Bäcklund symmetries for partial differential e...
The method of one parameter, point symmetric, approximate Lie group invariants is applied to the pro...
M.Sc.In this work we concentrate on two generalizations of Lie symmetries namely conditional symmetr...
In this thesis the stability of the Lie group invariance of classical solutions of large classes of ...
AbstractWe show how one can construct approximate conservation laws of approximate Euler-type equati...
In this paper, within the framework of the consistent approach recently introduced for approximate L...
The formal model of physical systems is typically made in terms of differential equations. Conservat...
Some recent results on approximate Lie group methods and previously developed concepts on potential ...
Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly...
This thesis is devoted to use Lie group analysis to obtain all invariant solutions by constructing o...
The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which m...
Conservation laws play an important role in science. The aim of this thesis is to provide an overvie...
The Lie group method is applied to the third order variant Boussinesq system, which arises in the mo...
We discuss the properties of a perturbed nonlinear wave equation whose coefficients depend on the fi...
A system of nonlinear di fferential equations, namely, the Belousov-Zhabotinskii reaction model has ...
We introduce a method of approximate nonclassical Lie-Bäcklund symmetries for partial differential e...
The method of one parameter, point symmetric, approximate Lie group invariants is applied to the pro...
M.Sc.In this work we concentrate on two generalizations of Lie symmetries namely conditional symmetr...
In this thesis the stability of the Lie group invariance of classical solutions of large classes of ...