Gmira, AbdelilahHamydy, AhmedOuailal, Salek2021-05-282021-05-282005-07-15Gmira, A., Hamydy, A., & Ouailal, S. (2005). Self similar solutions of generalized Burgers equation. <i>Electronic Journal of Differential Equations, 2005</i>(80), pp. 1-22.1072-6691https://hdl.handle.net/10877/13681In this paper, we study the initial-value problem (|u'|p-2u')' + βru' + αu - γ|u|q-1 u|u'|p-2u' = 0, r > 0, u(0) = A, u'(0) = 0, where A > 0, p > 2, q > 1, α > 0, β > 0 and γ ∈ ℝ. Existence and complete classification of solutions are established. Asymptotic behavior for nonnegative solutions is also presented.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalBurgers equationSelf similarClassificationAsymptotic behaviorArticle