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Abstract <p> 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. </p>

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

  • 期刊论文

  • 发表日期：

    2025年7月25日

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  • V. M. Rothos

摘要

Abstract

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.