具有远程相互作用的离散非线性薛定谔方程的同斜轨道和定域解

Q4 Mathematics

International Journal of Nonlinear Analysis and Applications Pub Date : 2022-01-01 DOI:10.22075/IJNAA.2021.23619.2588

Allal Mehazzem, Mohamed Saleh Abdelouahab, K. Haouam

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引用次数: 0

摘要

本文利用可逆平面映射对称性的性质，利用不使用小扰动的同斜轨道方法，证明了具有远距离相互作用的离散非线性薛定谔方程孤子解的存在性。此外，远程相互作用由一个与$1/l^{1+alpha} $成比例的势，分数$alpha < 1 $， $l $为自然数。

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

In this paper, we use the homoclinic orbit approach without using small perturbations to prove the existence of soliton solutions of the discrete nonlinear Schrodinger 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.

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来源期刊

International Journal of Nonlinear Analysis and Applications MATHEMATICS-

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160