Self-adjointness and conservation law of nonlinear dispersive wave equations modelling elasto-plastic flows
Independent thesis Advanced level (degree of Master (One Year))Student thesis
Two nonlinear dispersive wave equations arising in elasto-plastic flow have been investigated for self-adjointness. For these equations their symmetries are calculated and conservation laws are constructed using two different methods: an old method based on Noether´s Theorem and a new one developed by Prof. Nail Ibragimov. The new method works for a larger number of equations than the old one. It is complementing the old one in the way that it gives some conservation laws that otherwise would have been impossible to obtain.
Place, publisher, year, edition, pages
2012. , 52 p.
Conservation laws, Differential Algebra, Self-adjoint, Wave equation, Symmetry
Mathematical Analysis Mathematics
IdentifiersURN: urn:nbn:se:bth-5586Local ID: oai:bth.se:arkivex2C8789ED21AB6DF7C12579E200793776OAI: oai:DiVA.org:bth-5586DiVA: diva2:832971
UppsokPhysics, Chemistry, Mathematics
Ibragimov, Prof. Nail H.