Travelling wave for absorption-convection-diffusion equations

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hamydy.pdf (239.58 KB)
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.
URI
https://hdl.handle.net/10877/13959
Collections
Electronic Journal of Differential Equations