Geodesic
Self similar solutions of generalized Burgers equation
Electronic Journal of Differential Equations, Tome 2005 (2005).

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Summary: 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__a89,
     author = {Gmira, Abdelilah and Hamydy, Ahmed and Ouailal, Salek},
     title = {Self similar solutions of generalized {Burgers} equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a89/}
}
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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__a89/