| Autor: |
N. Smaoui, B. Chentouf, A. Alalabi |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-27 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
1687-1847 |
| DOI: |
10.1186/s13662-019-2376-x |
| Popis: |
Abstract In this paper, we study the modelling and nonlinear boundary stabilization problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial domain is [0,1] $[0,1]$. First, the MGKdVB equation is derived using the long-wave approximation and perturbation method. Then, two nonlinear boundary controllers are proposed for this equation and the L2 $L^{2} $-global exponential stability of the solution is shown. Numerical simulations are given to illustrate the efficiency of the developed control schemes. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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