Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-20 DOI:10.1007/s13324-024-00936-9

Guanwei Chen, Shiwang Ma

引用次数: 0

Abstract

This paper is concerned with a class of periodic Schrödinger lattice systems with spectrum 0 and saturable nonlinearities. The existence of ground state solitons of the systems under weak assumptions is obtained. The main novelties are as follows. (1) Some new sufficient conditions for the existence of ground state solitons under the “spectral endpoint” assumption are constructed. (2) Our “non-monotonic” conditions make the proofs of the boundedness of the (PS) sequences to be easier. (3) Our result extends and improves the related results in the literature. Besides, some examples are given to illuminate our result.

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具有可饱和非线性和频谱 0 的周期性薛定谔晶格系统的基态孤子

本文关注一类具有频谱 0 和可饱和非线性的周期性薛定谔晶格系统。在弱假设条件下，得到了这些系统基态孤子的存在性。主要创新点如下(1) 在 "谱端点 "假设下，构建了一些新的基态孤子存在的充分条件。(2) 我们的 "非单调 "条件使（PS）序列的有界性证明变得更容易。(3) 我们的结果扩展并改进了文献中的相关结果。此外，我们还给出了一些例子来说明我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.