Geodesic
Self similar solutions of generalized Burgers equation
Electronic journal of differential equations, Tome 2005 (2005)
In this paper, we study the initial-value problem

$\displaylines{ (|u'|^{p-2}u')'+\beta r u'+\alpha u-\gamma |u|^{q-1}u|u'|^{p-2}u'=0, \quad r greater than 0, \cr u(0)=A,\quad u'(0)=0, }$

where , $">$A, p, q greater than 1">, $. Existence and complete classification of solutions are established. Asymptotic behavior for nonnegative solutions is also presented.
Classification : 35k55, 35k65
Keywords: Burgers equation, self similar, classification, asymptotic behavior 
@article{EJDE_2005__2005__a289,
     author = {Gmira,  Abdelilah and Hamydy,  Ahmed and Ouailal,  Salek},
     title = {Self similar solutions of generalized {Burgers} equation},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1079.34504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a289/}
}
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AU  - Hamydy,  Ahmed
AU  - Ouailal,  Salek
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VL  - 2005
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%A Hamydy,  Ahmed
%A Ouailal,  Salek
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%F EJDE_2005__2005__a289
Gmira,  Abdelilah; Hamydy,  Ahmed; Ouailal,  Salek. Self similar solutions of generalized Burgers equation. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a289/