Nadjafikhah, Mehdi Lie symmetries of inviscid Burgers’ equation. (English) Zbl 1173.35699 Adv. Appl. Clifford Algebr. 19, No. 1, 101-112 (2009). Summary: The present paper solves completely the problem of the Lie group analysis of nonlinear equation \(u_{t}(x,t) + g(u)u_{x}(x, t) = 0\), where \(g(u)\) is a smooth function of \(u\). And apply these results on inviscid Burgers equation. Cited in 1 ReviewCited in 12 Documents MSC: 35Q58 Other completely integrable PDE (MSC2000) 35Q35 PDEs in connection with fluid mechanics 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures Keywords:Lie group analysis; Burgers equation; symmetry group PDFBibTeX XMLCite \textit{M. Nadjafikhah}, Adv. Appl. Clifford Algebr. 19, No. 1, 101--112 (2009; Zbl 1173.35699) Full Text: DOI arXiv