In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.
Chadli,L S , Melliani,S , Moujahid,A and Elomari,M . (2016). Generalized solution of Sine-Gordon equation. International Journal of Nonlinear Analysis and Applications, 7(1), 87-92. doi: 10.22075/ijnaa.2015.297
MLA
Chadli,L S , , Melliani,S , , Moujahid,A , and Elomari,M . "Generalized solution of Sine-Gordon equation", International Journal of Nonlinear Analysis and Applications, 7, 1, 2016, 87-92. doi: 10.22075/ijnaa.2015.297
HARVARD
Chadli L S, Melliani S, Moujahid A, Elomari M. (2016). 'Generalized solution of Sine-Gordon equation', International Journal of Nonlinear Analysis and Applications, 7(1), pp. 87-92. doi: 10.22075/ijnaa.2015.297
CHICAGO
L S Chadli, S Melliani, A Moujahid and M Elomari, "Generalized solution of Sine-Gordon equation," International Journal of Nonlinear Analysis and Applications, 7 1 (2016): 87-92, doi: 10.22075/ijnaa.2015.297
VANCOUVER
Chadli L S, Melliani S, Moujahid A, Elomari M. Generalized solution of Sine-Gordon equation. IJNAA. 2016;7(1):87-92. doi: 10.22075/ijnaa.2015.297
International Journal of Nonlinear Analysis and Applications