Lie symmetry analysis of a pseudoparabolic PDE: Power law in diffusion coefficient with constant viscosity

Partial Differential Equations in Applied Mathematics

Motlatsi Molati¹  Maile Khati² 

[1] Corresponding author.;Department of Mathematics and Computer Science, National University of Lesotho, P.O. Roma 180, Lesotho;

关键词: Pseudoparabolic PDE;    Lie symmetry analysis;    Symmetries;    Invariant solutions;   

DOI  :  

来源: DOAJ

【 摘 要 】

We perform symmetry analysis of a partial differential equation (PDE) of pseudoparabolic form which models solvent uptake in polymeric solids; a special case of power law for diffusion coefficient and constant viscosity is considered. Optimal systems of one-dimensional subalgebras for various model parameters are employed for symmetry reductions and construction of invariant solutions.

【 授权许可】

Unknown