Homoclinic Orbits and Localized Solutions in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction

	Homoclinic Orbits and Localized Solutions in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction
International Journal of Nonlinear Analysis and Applications
مقاله 27، دوره 13، شماره 1، خرداد 2022، صفحه 353-363 اصل مقاله (387.36 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23619.2588
نویسندگان
Allal Mehazzem^* ¹^{، 2}؛ Mohamed Saleh Abdelouahab²؛ Kamel Haouam¹
¹Department of Mathematics and Informatics, Faculty of Exact Sciences, Natural and Life Sciences, El Arbi Tebessi University, Tebessa, Algeria.
²Department of Mathematics and Informatic, Abdelhafidh Boussouf University Center of Mila, Mila, Algeria
چکیده
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.
کلیدواژه‌ها
Fractional equation؛ discrete Schrodinger equation؛ Long-Range Interaction؛ Homoclinic orbits؛ reversible planar maps
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