Optimal system of subalgebras and invariant solutions for a nonlinear wave equation
Independent thesis Advanced level (degree of Master (Two Years))Student thesis
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.
Place, publisher, year, edition, pages
2009. , 56 p.
Non-linear wave equation, Admitted, Symmetries, Commutator table, Lie equations, Generators, Optimal system, Invariants.
Mathematics Mathematical Analysis
IdentifiersURN: urn:nbn:se:bth-2675Local ID: oai:bth.se:arkivexD2D95F86A3014B84C125769400027F1EOAI: oai:DiVA.org:bth-2675DiVA: diva2:829963
UppsokPhysics, Chemistry, Mathematics
Ibragimov, Professor: Nail H.