论文信息 - Self similar solutions of generalized Burgers equation.

Self similar solutions of generalized Burgers equation.

In this paper, we study the initial-value problem (|u′|p−2u′)′ + βru′ + αu− γ|u|q−1u|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.

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