Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. Group invariant solutions for two-dimensional solute transport under realistic water flows. (English) Zbl 1101.35064 Quaest. Math. 29, No. 1, 73-83 (2006). Summary: We consider a form of the solute transport equation in streamline coordinates. Symmetry analysis of the equation for solute transport with realistic water flows, result in a number of admitted nontrival classical Lie point symmetries. Reduction by one of the number of variables of the governing equation are performed using members of the one-dimensional optimal system. However, we construct invariant solutions using two dimensional nonabelian Lie subalgebra and other techniques. Cited in 2 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76T20 Suspensions 82C70 Transport processes in time-dependent statistical mechanics Keywords:saturated soil; Lie point symmetries; analytical solutions Software:DIMSYM; REDUCE PDFBibTeX XMLCite \textit{R. J. Moitsheki} et al., Quaest. Math. 29, No. 1, 73--83 (2006; Zbl 1101.35064) Full Text: DOI