In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the inviscid burgers equation. The results are formulated in classical mathematics and proved with infinitesimal techniques of non standard analysis.
Bendaas, S. (2019). Periodic Wave Shock solutions of Burgers equations. International Journal of Nonlinear Analysis and Applications, 10(1), 119-129. doi: 10.22075/ijnaa.2018.10791.1524
MLA
Saida Bendaas. "Periodic Wave Shock solutions of Burgers equations". International Journal of Nonlinear Analysis and Applications, 10, 1, 2019, 119-129. doi: 10.22075/ijnaa.2018.10791.1524
HARVARD
Bendaas, S. (2019). 'Periodic Wave Shock solutions of Burgers equations', International Journal of Nonlinear Analysis and Applications, 10(1), pp. 119-129. doi: 10.22075/ijnaa.2018.10791.1524
VANCOUVER
Bendaas, S. Periodic Wave Shock solutions of Burgers equations. International Journal of Nonlinear Analysis and Applications, 2019; 10(1): 119-129. doi: 10.22075/ijnaa.2018.10791.1524
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