Author/Authors :
Mehazzem, Allal Department of Mathematics and Informatics - Faculty of Exact Sciences, Natural and Life Sciences - El Arbi Tebessi University, Tebessa, Algeria , Abdelouahab, Mohamed Saleh Department of Mathematics and Informatic - Abdelhafidh Boussouf University Center of Mila, Mila, Algeria , Haouam, Kamel Department of Mathematics and Informatics - Faculty of Exact Sciences, Natural and Life Sciences - El Arbi Tebessi University, Tebessa, Algeria
Abstract :
In this paper, we use the homoclinic orbit approach without using small perturbations to prove the existence of soliton solutions of the discrete nonlinear Schrödinger equations with long-range interaction by employing the properties of the symmetries of reversible planar maps. Moreover, the long-range interaction by a potential proportional to 1/l1+α with fractional α<1 and l as natural number.
Keywords :
Fractional equation , discrete Schrodinger equation , Long-Range Interaction , Homoclinic orbits , reversible planar maps
