| Volume 9, Number 3, 2019, Pages 840-852 DOI：10.11948/2156-907X.20180017 |
| Existence and asymptotic behavior of traveling wave solution for Korteweg-de Vries-Burgers equation with distributed delay |
| Jingdong Wei,Jiangbo Zhou,Lixin Tian |
| Keywords:Delayed Korteweg-de Vries-Burgers equation, traveling wave solution, geometric singular perturbation theory, asymptotic behavior. |
| Abstract: |
| In this paper, we investigate the existence and asymptotic behavior of traveling wave solution for delayed Korteweg-de Vries-Burgers (KdV-Burgers) equation. Using geometric singular perturbation theory and Fredholm alternative, we establish the existence of traveling wave solution for this equation. Employing the standard asymptotic theory, we obtain asymptotic behavior of traveling wave solution of the equation. |
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