Title of article
Homoclinic Orbits and Localized Solutions in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction
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
Pages
11
From page
353
To page
363
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
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2711221
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