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SCHR: 作品数：1206被引量：1108H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：张健曾文平舒级梁宗旗唐春雷更多>>; 相关机构：四川师范大学西南大学华中科技大学山西大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划山东省自然科学基金更多>>

Inverse Scattering Transform and Multi-soliton Solutions for the Sextic Nonlinear Schrödinger Equation: 《Acta Mathematicae Applicatae Sinica》2025年第2期536-555,共20页Xin WU Shou-fu TIAN Jin-Jie YANG; supported by the National Natural Science Foundation of China(No.11975306);the Natural Science Foundation of Jiangsu Province(No.BK20181351);the Six Talent Peaks Project in Jiangsu Province(No.JY-059);the Fundamental Research Fund for the Central Universities(Nos.2019ZDPY07,2019QNA35);the Assistance Program for Future Outstanding Talents of China University of Mining and Technology(No.2021WLJCRCZL076);the Postgraduate Research&Practice Innovation Program of Jiangsu Province(No.KYCX212139).; In this work,we consider the inverse scattering transform and multi-soliton solutions of the sextic nonlinear Schrödinger equation.The Jost functions of spectral problem are derived directly,and the scattering data wi...; 关键词：the sextic nonlinear Schrödinger equation inverse scattering transform multi-soliton solutions

求解Schrödinger方程的一种新能量守恒格式: 《兰州文理学院学报(自然科学版)》2025年第2期29-33,共5页王雅慧; 针对一维非线性Schrödinger方程,通过使用多标量辅助变量方法将原方程转化为具有能量守恒性质的等价系统.对等价系统构建带有惩罚项的数值格式,该格式保持修正的能量守恒,并且在每一个时间步长只需求解带有常系数矩阵的解耦系统.最后通...; 关键词：Schrödinger方程多标量辅助变量能量守恒

TIME MULTIPOINT NONLOCAL PROBLEM FOR A STOCHASTIC SCHRÖDINGER EQUATION: 《Journal of Computational Mathematics》2025年第2期369-393,共25页Roger Pettersson Ali Sirma Tarkan Aydin; A time multipoint nonlocal problem for a Schrödinger equation driven by a cylindrical Q-Wiener process is presented.The initial value depends on a finite number of future values.Existence and uniqueness of a solution ...; 关键词：Time nonlocal problem Mild solution Cylindrical Wiener process Time discretization Abstract time-dependent stochastic Schrödinger equation Euler-Maruyama method

Dynamical analysis and localized waves of the n-component nonlinear Schrödinger equation with higher-order effects: 《Chinese Physics B》2025年第3期204-213,共10页Yu Lou Guoan Xu; Project supported by the National Natural Science Foundation of China(Grant No.12271096);the Natural Science Foundation of Fujian Province(Grant No.2021J01302)。; Under investigation is the n-component nonlinear Schrödinger equation with higher-order effects,which describes the ultrashort pulses in the birefringent fiber.Based on the Lax pair,the eigenfunction and generalized D...; 关键词：n-component nonlinear Schrödinger equation with higher-order effects generalized Darboux transformation localized waves soliton BREATHER rogue wave

带位势的非聚焦能量临界四阶Schr dinger方程的小初值问题: 《洛阳理工学院学报(自然科学版)》2025年第1期88-92,共5页夏素霞崔秋月; 主要研究一类带位势项的能量临界非聚焦型四阶Schrodinger方程在空间维数n=8时的初值问题。借助带位势项的Strichartz型估计和处理能量临界非线性四阶Schrodinger方程的方法,利用压缩不动点定理证明问题在小初值情形下的局部适定性,结...; 关键词：四阶Schrodinger方程位势适定性能量临界散射

Optical Solitons with Parabolic and Weakly Nonlocal Law of Self-Phase Modulation by Laplace-Adomian Decomposition Method: 《Computer Modeling in Engineering & Sciences》2025年第3期2513-2525,共13页Oswaldo González-Gaxiola Anjan Biswas Ahmed H.Arnous Yakup Yildirim; Computational modeling plays a vital role in advancing our understanding and application of soliton theory.It allows researchers to both simulate and analyze complex soliton phenomena and discover new types of soliton...; 关键词：Soliton solutions parabolic law nonlinearity weakly nonlocal Schrödinger equation laplace-adomian decomposition method

Sign-changing Solutions for a Fractional Schrödinger-Poisson System with Concave-convex Nonlinearities and a Steep Potential Well: 《数学理论与应用》2025年第1期25-44,共20页FU Jiao LI Hongying LIAO Jiafeng; supported by the Natural Science Foundation of Sichuan(No.2023NSFSC0073)。; In this paper,we investigate the following fractional Schrödinger-Poisson system with concave-convex nonlinearities and a steep potential well{(-Δ)^(s)u+V_(λ)(x)u+ϕu=f(x)|u|^(q-2)u+|u|^(p-2)u,in R^(3),(-Δ)^(t)ϕ=u^(...; 关键词：Fractional Schrödinger-Poisson system Concave-convex nonlinearity Sign-changing solution Steep potential well

Normalized Solutions for p-Laplacian Schrödinger-Poisson Equations with L^(2)-Supercritical Growth: 《数学理论与应用》2025年第1期45-61,共17页LI Mingxue ZHANG Jiafeng; supported by the National Natural Science Foundation of China(No.12461024);the Natural Science Research Project of Department of Education of Guizhou Province(Nos.QJJ2023012,QJJ2023061,QJJ2023062);the Natural Science Research Project of Guizhou Minzu University(No.GZMUZK[2022]YB06)。; In this paper,we consider the p-Laplacian Schrödinger-Poisson equation with L^(2)-norm constraint-Δ_(p)u+|u|^(p-2)u+λu+(1/4π|x|*|u|^(2))u=|u|^(q-2)u,x∈R^(3),where 2≤p<3,5p/30 is a Lagrange multipl...; 关键词：Normalized solution p-Laplacian equation Schrödinger-Poisson equation Mountain pass lemma

Multiplicity and Concentration of Positive Solutions for a Quasilinear Schrödinger-Poisson System with Critical Nonlinearity: 《数学理论与应用》2025年第1期1-24,共24页ZHANG Weiqiang WEN Yanyun; supported by the Natural Science Foundation of Gansu Province(No.24JRRP001)。; In this paper,we study the following Schrödinger-Poisson system{-ε^(p)Δ_(p)u+V(x)|u|^(p-2)u+ϕ|u|^(p-2)u=f(u)+|u|^(p*-2)u in R^(3),-ε^(2)Δϕ=|u|^(p)in R^(3),whereε>0 is a parameter,3/2; 关键词：Schrödinger-Poisson system Positive solution Ljusternik-Schnirelmann category theory Critical growth P-LAPLACIAN

Kneser图及其导出子图的顶点可分解性质: 《海南大学学报(自然科学版中英文)》2025年第1期67-72,共6页周思荣刘阿明; 国家自然科学基金项目(12101165);海南省自然科学基金项目(423RC429)。; Kneser图是十分重要的一类图,许多关于集合的计数以及计算问题可以转换为此类图中的问题加以探讨,在计算机科学、图论、拓扑中都有重要应用。从代数组合方面出发研究Kneser图及其导出子图Schrijver图和交错图的组合代数结构,并完整地刻...; 关键词：Kneser图 Schrijver图交错图顶点可分解性质

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