Coupled Burgers equations governing polydispersive sedimentation; a Lie symmetry approach
Chaudry Masood Khalique, Saumu Athman Abdallah
Abstract
We study coupled Burgers equations that model polydispersive sedimentation from Lie symmetry standpoint. We perform Lie group analysis technique on the system and obtain symmetry reductions. Travelling wave solutions are constructed using the translation symmetries in time and space. Furthermore, we compute conservation laws of the system in two ways; firstly, by using the multiplier approach and secondly, by the application of theorem on conservation laws due to Ibragimov.
Topics & Concepts
Conservation lawHomogeneous spaceSymmetry (geometry)Burgers' equationLie groupMathematical physicsSedimentationMathematicsPhysicsSymmetry groupSpace (punctuation)Translation (biology)Classical mechanicsMathematical analysisPure mathematicsPartial differential equationComputer scienceGeometryChemistryOperating systemSedimentBiochemistryGeneBiologyMessenger RNAPaleontologyNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models