Document Type : Research Paper

Authors

• Lalla Saadia Chadli
• Said Melliani
• Abdelaziz Moujahid
• Mhamed Elomari

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

Abstract

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.

Keywords

• Algebra Colombeau
• Generalized functions theory
• Sine-Gordon equation