Investigation of the Mathematical Model of Acoustic Waves in a Fluid with Bubbles Using Lie Group Analysis Method
Independent thesis Advanced level (degree of Master (Two Years))Student thesisAlternative title
Investigation of the Mathematical Model of Acoustic Waves in a Fluid with Bubbles Using Lie Group Analysis Method (Swedish)
This thesis comprises investigation of the mathematical model of acoustic waves in a fluid with bubbles for nonlinear self-adjointness, Lie point symmetries, conservation laws and invariant solutions. It is based on the theory developed recently by Prof. Nail Ibragimov. It is shown that the systems of differential equations describing the model are nonlinearly self-adjoint. The symmetries are calculated and the conservation laws are constructed using the formal Lagrangian. In addition, invariant solutions are derived.
Place, publisher, year, edition, pages
2012. , 41 p.
Acoustic waves, fluid with bubbles, formal Lagrangian, nonlinear self-adjointness, Lie group analysis, conservation law, invariant solution
Mathematics Mathematical Analysis
IdentifiersURN: urn:nbn:se:bth-4879Local ID: oai:bth.se:arkivexB11492D8DB44ABEDC12579D1003D2348OAI: oai:DiVA.org:bth-4879DiVA: diva2:832230
UppsokPhysics, Chemistry, Mathematics
Khamitova, RaisaIbragimov, Nail