数学杂志2026，Vol.46Issue(5)：257-265,9.
非局域非线性薛定谔方程的精确解
EXACT SOLUTIONS OF NONLOCAL NONLINEAR SCHRÖDINGER EQUATIONS
摘要
Abstract
The nonlocal nonlinear Schrödinger equation can be used to describe phenomena in nonlinear optics,plasmas,and related fields.In this paper,two types of nonlocal nonlinear Schrödinger equations are derived under the framework of bidifferential graded algebras.By employing the direct linearization method under this framework and utilizing nonlocal reduction conditions,exact solutions derived from Sylvester equations are constructed for both focusing and defocusing cases.Specific illustrations,such as Jordan block solutions and multi-soliton solutions,are provided in detail.关键词
非线性薛定谔方程/非局域/双微分分次代数/精确解Key words
nonlinear Schrödinger equations/nonlocal/bidifferential graded algebras/exact solutions分类
数理科学引用本文复制引用
巴慧静,张丹达..非局域非线性薛定谔方程的精确解[J].数学杂志,2026,46(5):257-265,9.基金项目
国家自然科学基金资助(11801289) （11801289）
宁波自然科学基金(2024J196). （2024J196）
