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NONLINEARITY: 作品数：723被引量：1091H指数：12; 导出分析报告; 相关领域：理学机械工程更多>>; 相关作者：唐登斌朱惠延黄立宏潘伟杨月平更多>>; 相关机构：南华大学南京航空航天大学湖南大学中南大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家高技术研究发展计划更多>>

Classification of solutions to the critical order elliptic system with general nonlinearity: 《Science China Mathematics》2025年第4期807-838,共32页Yuxia Guo Shaolong Peng; supported by National Key R&D Program(Grant No.2023YFA1010002);National Natural Science Foundation of China(Grant Nos.12031015 and 12271283)。; Consider the following elliptic system:{(−∆)u=f(u,v),(−∆)v=g(u,v),(0.1)where f and g are continuous functions and satisfy the finite total curvature conditions.Recently,Guo and Liu(2008)derived Liouville-type results ...; 关键词：classification of solutions semilinear elliptic system method of moving spheres critical order

UNIFORM ERROR BOUNDS OF AN ENERGY-PRESERVING EXPONENTIAL WAVE INTEGRATOR FOURIER PSEUDO-SPECTRAL METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH WAVE OPERATOR AND WEAK NONLINEARITY: 《Journal of Computational Mathematics》2025年第2期280-314,共35页Jiyong Li; supported in part by the Natural Science Foundation of Hebei Province(Grant No.A2021205036).; Abstract Recently,the numerical methods for long-time dynamics of PDEs with weak nonlinearity have received more and more attention.For the nonlinear Schrödinger equation(NLS)with wave operator(NLSW)and weak nonlinear...; 关键词：Nonlinear Schrodinger equation with wave operator and weak nonlinearity Fourier pseudo-spectral method Exponential wave integrator Energy-preserving method Error estimates Oscillatory problem

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

JAI Introduction: 《Journal of Automation and Intelligence》2025年第1期F0002-F0002,共1页; Artificial intelligence(Al)is almost everywhere due to therapid development of modern technology and popularityof intelligent devices.While control theory and machinelearning techniques as two enabling technologies ha...; 关键词：control theory machinelearning techniques artificial intelligence al intelligent deviceswhile controltheory NONLINEARITY machinlearning modern technology agent networks

Enhancing entanglement and steering in a hybrid atom–optomechanical system via Duffing nonlinearity: 《Chinese Physics B》2025年第2期124-131,共8页Ling-Hui Dong Xiao-Jie Wu Cheng-Hua Bai Shao-Xiong Wu; Project supported by the National Natural Science Foundation of China (Grant No. 12204440);Fundamental Research Program of Shanxi Province (Grant Nos. 20210302123063 and 202103021223184)。; We introduce a novel scheme for achieving quantum entanglement and Einstein–Podolsky–Rosen(EPR) steering between an atomic ensemble and a mechanical oscillator within a hybrid atom–optomechanical system. The system...; 关键词：quantum entanglement EPR steering optomechanical system Duffing nonlinearity

Generation of High-Quality Single-Photon Sources in Cavity Optomagnonics: 《Chinese Physics Letters》2025年第1期73-78,共6页Rui Hou Wei Zhang Xue Han Hong-Fu Wang Shou Zhang; supported by the Natural Science Foundation of Jilin Province(Grant No.20240101013JC);the National Natural Science Foundation of China(Grant Nos.62071412,62475226,62101479,12074330,and 12375020);the Young Talents Support Project of the Association of Science and Technology of Jilin Province(Grant No.QT202425)。; We propose a scheme for generating high-quality single-photon sources utilizing the conventional photon blockade(CPB)effect in a cavity optomagnonic system with Kerr nonlinearity.The realization of the CPB effect depe...; 关键词：NONLINEARITY EFFECT GENERATING

Comparison of Linear and Nonlinear Properties of Graphene and Silicene in Terahertz Range: 《Journal of Electromagnetic Analysis and Applications》2025年第1期1-13,共13页Volodymyr Grimalsky Jesus Escobedo-Alatorre Yuriy Rapoport Anatoliy Kotsarenko; Resonant linear and nonlinear properties in terahertz range of 2D materials graphene and silicene placed into a bias magnetic field are investigated theoretically on the base of the quasi-classical kinetic theory. Whe...; 关键词：Terahertz Range GRAPHENE SILICENE Resonant Conductivity NONLINEARITY

Enhanced mechanical squeezing in an optomechanical system via backward stimulated Brillouin scattering: 《Chinese Physics B》2025年第1期315-322,共8页Shan-Shan Chen Yi-Long Xie Jing-Jing Zhang Na-Na Zhang Yong-Rui Guo Huan Yang Yong Ma; Project supported by the Scientific and Technological Research Program of Chongqing Municipal Education Commission(Grant No.KJQN202400624);the Natural Science Foundation of Chongqing CSTC(Grant No.CSTB2022NSCQBHX0020);the China Electronics Technology Group Corporation 44th Research Institute(Grant No.6310001-2);the Project Grant“Noninvasive Sensing Measurement based on Terahertz Technology”from Province and MOE Collaborative Innovation Centre for New Generation Information Networking and Terminals;the Key Research Program of CQUPT on Interdisciplinary and Emerging Field(A2018-01);the Venture&Innovation Support program for Chongqing Overseas Returnees Year 2022。; We investigate theoretically the enhancement of mechanical squeezing in a multimode optomechanical system by introducing a coherent phonon–photon interaction via the backward stimulated Brillouin scattering(BSBS)proc...; 关键词：mechanical squeezing optomechanical system backward stimulated Brillouin scattering Duffing nonlinearity

Dissipative gap solitons and vortices in moiré optical lattices: 《National Science Open》2024年第6期139-151,共13页Li Wang Zhenya Yan Yi Zhu Jianhua Zeng; supported by the National Natural Science Foundation of China(NSFC)(12074423,11925108,12301306);the Young Scholar of Chinese Academy of Sciences in western China(XAB2021YN18);the Provisional Science Fund for Distinguished Young Scholars of Shaanxi(2024JC-JCQN-11);the Beijing Natural Science Foundation(1234039).; Considerable attention has been recently paid to elucidation the linear,nonlinear and quantum physics of moire patterns because of the innate extraordinary physical properties and potential applications.Particularly,m...; 关键词：moire optical lattices dissipative gap solitons and vortices localization-delocalization transition dissipation and gain self-defocusing nonlinearity

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