具有次近邻相互作用的饱和离散NLS方程的局域结构

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI:10.1134/S0040577925070141

V. M. Rothos

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引用次数: 0

摘要

研究了一类具有次近邻相互作用的饱和离散NLS方程中孤子和周期行波解的存在性。利用变分法和Nehari流形来证明离散孤子的存在性。利用Palais-Smale条件和变分方法证明了混合型泛函微分方程周期行波的存在性。

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Localized structures in a saturable discrete NLS equation with next-nearest-neighbor interactions

We address the existence of solitons and periodic traveling-wave solutions in a saturable discrete NLS (dNLS) equation with next-nearest-neighbor interactions. Calculus of variations and Nehari manifolds are employed to establish the existence of discrete solitons. We prove the existence of periodic traveling waves studying the mixed-type functional differential equations using Palais–Smale conditions and variational methods.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.