\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2010, Volume 14, Issue 3: 1119-1138. Doi: 10.3934/dcdsb.2010.14.1119
This issue Previous Article Stationary patterns for an adsorbate-induced phase transition model I: Existence Next Article An asymptotic analysis of the persistence threshold for the diffusive logistic model in spatial environments with localized patches

On the traveling wave solutions for a nonlinear diffusion-convection equation: Dynamical system approach

  • 1.

    Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004

Received:  October 31, 2009
Revised:  December 31, 2009
Published:  September 2010
Abstract Related Papers Cited by
    Abstract
  • For a general nonlinear diffusion-convection equation, the existence of uncountably infinite many global monotonic wavefront solutions and semi-wavefront solutions with bounded support is proved. By using the method of planar dynamical systems, the dynamical behavior of the corresponding traveling wave system is discussed. For some concrete nonlinear diffusion-convection equations, more than thirty exact explicit parametric representations of the wavefront solutions, semi-wavefront solutions and unbounded traveling wave solutions are given.
    Mathematics Subject Classification: Primary: 34A05; 34C25-28; 34M55; 35Q51; 35Q53; Secondary: 58F05; 58F14; 58F30; 74B20; 74J30.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(102) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences