Travelling wave for absorption-convection-diffusion equations

Date

2006-08-02

Authors

Hamydy, Ahmed

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we use the phase plane method for finding finite travelling waves solutions for the diffusion-absorption-convection equation ut = A(|ux|p-2ux)x + B(un)x - Cuq, (x, t) ∈ ℝ x ℝ+. We show that the existence of solutions which depends on the parameters p, q and n. Also we study the asymptotic behavior of these solutions.

Description

Keywords

Travelling wave, Phase-plane, Diffusion, Convection, Absorption, Asymptotic behavior

Citation

Hamydy, A. (2006). Travelling wave for absorption-convection-diffusion equations. <i>Electronic Journal of Differential Equations, 2006</i>(86), pp. 1-9.

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Attribution 4.0 International

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