Homoclinic Orbits and Localized Solutions in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction
نویسندگان
1 Department of Mathematics and Informatic, Abdelhafidh Boussouf University Center of Mila, Mila, Algeria
2 Department of Mathematics and Informatic, Abdelhafidh Boussouf University Center of Mila, Mila, Algeria
3 Department of Mathematics and Informatics, Faculty of Exact Sciences, Natural and Life Sciences, El Arbi Tebessi University, Tebessa, Algeria.
doi
10.22075/ijnaa.2021.23619.2588چکیده
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/l^{1+\alpha} $ with fractional $\alpha < 1 $ and $l $ as natural number.
