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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 | ||
| تاریخ دریافت: 30 خرداد 1400، تاریخ پذیرش: 21 شهریور 1400 | ||
| 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 | ||
| مراجع | ||
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