Generalized solution of Sine-Gordon equation

نویسندگان
Chadli, Lalla Saadia ID 1
Moujahid, Abdelaziz ID 2
Melliani, Said ID 3
Elomari, Mhamed ID 4

1 Laboratoire de Mathematiques Appliquees & Calcul Ssientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco

2 Laboratoire de Mathematiques Appliquees & Calcul Ssientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco

3 Laboratoire de Mathematiques Appliquees & Calcul Ssientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco

4 Laboratoire de Mathematiques Appliquees & Calcul Ssientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco

doi
10.22075/ijnaa.2015.297
چکیده

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.

کلیدواژه‌ها
Algebra Colombeau, Generalized functions theory, Sine-Gordon equation