Thomas, Luis P.; Peña, Carlos C.; Barrenechea, Ana Lucia; Marino, Beatriz M. Solutions of shallow-water equations in non-rectangular cross-section channels. (English) Zbl 1154.76012 Appl. Math. E-Notes 7, 131-138 (2007). Summary: We study smooth solutions of the shallow-water equations for non-rectangular cross-section channels. It is found that a complete set of solutions can be classified in four Lie symmetry groups that show distinctive physical features. MSC: 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics Keywords:Lie symmetry groups PDFBibTeX XMLCite \textit{L. P. Thomas} et al., Appl. Math. E-Notes 7, 131--138 (2007; Zbl 1154.76012) Full Text: EuDML EMIS