Inlämning av Examensarbete / Submission of Thesis

Ahmed Abedelhussain Talib 2009:8, pp. 56. ING/School of Engineering, 2009.

The work

Författare / Author: Ahmed Abedelhussain Talib
Titel / Title: Optimal system of subalgebras and invariant solutions for a nonlinear wave equation
Abstrakt Abstract:

This thesis is devoted to use Lie group analysis to obtain all invariant solutions by constructing optimal system of one-dimensional
subalgebras of the Lie algebra L5 for a nonlinear wave equation. I will
show how the given symmetries ( Eq.2) are admitted by using partial
differential equation (Eq.1), In addition to obtain the commutator table by using the same given symmetries. Subsequently, I calculate the transformations of the generators with the Lie algebra L5, which provide the 5-parameter group of linear transformations for the operators. Finally, I construct the invariant solutions for each member
of the optimal system.

Ämnesord / Subject: Mathematics\Analysis
Nyckelord / Keywords: Non-linear wave equation, Admitted, Symmetries, Commutator table, Lie equations, Generators, Optimal system, Invariants.

Publication info

Dokument id / Document id:
Program:/ Programme Mathematical Modelling and Simulation
Registreringsdatum / Date of registration: 12/22/2009
Uppsatstyp / Type of thesis: Masterarbete/Master's Thesis (120 credits)


Handledare / Supervisor: Professor: Nail H. Ibragimov
Examinator / Examiner: Professor: Nail H. Ibragimov
Organisation / Organisation: Blekinge Institute of Technology
Institution / School: ING/School of Engineering

+46 455 38 50 00

Files & Access

Bifogad uppsats fil(er) / Files attached: my thesis.pdf (221 kB, öppnas i nytt fönster)