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NONDEGENERATE: 作品数：30被引量：20H指数：3; 导出分析报告; 相关作者：陈良云孟道骥王露莹王萍李敏斯更多>>; 相关机构：南开大学哈尔滨工业大学中国科学技术大学首都师范大学更多>>; 相关期刊：《Science China Mathematics》《Journal of Partial Differential Equations》《Communications in Theoretical Physics》《Algebra Colloquium》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科学院院长基金更多>>

Nondegenerate Soliton Solutions of(2+1)-Dimensional Multi-Component Maccari System: 《Chinese Physics Letters》2024年第6期11-17,共7页孟勇方乒乒林机; supported by the National Natural Science Foundation of China(Grant No.12375006)。; For a multi-component Maccari system with two spatial dimensions,nondegenerate one-soliton and two-soliton solutions are obtained with the bilinear method.It can be seen by drawing the spatial graphs of nondegenerate ...; 关键词：structure. DEGENERATE SOLITON

Nondegenerate solitons of the(2+1)-dimensional coupled nonlinear Schrodinger equations with variable coefficients in nonlinear optical fibers: 《Chinese Physics B》2023年第12期170-178,共9页杨薇程雪苹金桂鸣王佳楠; supported by the National Natural Science Foundation of China (Grant Nos.11975204 and 12075208);the Project of Zhoushan City Science and Technology Bureau (Grant No.2021C21015);the Training Program for Leading Talents in Universities of Zhejiang Province。; We derive the multi-hump nondegenerate solitons for the(2+1)-dimensional coupled nonlinear Schrodinger equations with propagation distance dependent diffraction,nonlinearity and gain(loss)using the developing Hirota b...; 关键词：nondegenerate solitons variable coefficients coupled nonlinear Schr?dinger equations Hirota bilinear method

Certifying the Global Optimality of Quartic Minimization over the Sphere被引量：1: 《Journal of the Operations Research Society of China》2022年第2期241-287,共47页Sheng-Long Hu; This work is partially supported by the National Natural Science Foundation of China(No.11771328);Young Elite Scientists Sponsorship Program by Tianjin,and the Natural Science Foundation of Zhejiang Province,China(No.LD19A010002).; The quartic minimization over the sphere is an NP-hard problem in the general case.There exist various methods for computing an approximate solution for any given instance.In practice,it is quite often that a global o...; 关键词：Quartic minimization Tensor SPHERE Global optimality Elimination method Critical points EIGENVECTORS Determinant NONDEGENERATE Characteristic polynomial SDP relaxations Moment matrix Flatness POSITIVSTELLENSATZ Nonnegative polynomial Sums of squares Duality

Enhanced generation of nondegenerate photon pairs in nonlinear metasurfaces被引量：3: 《Advanced Photonics》2021年第5期22-27,共6页Matthew Parry Andrea Mazzanti Alexander Poddubny Giuseppe Della Valle Dragomir N.Neshev Andrey A.Sukhorukov; the support by the Australian Research Council(Nos.DP190101559,CE200100010,and FT170100331);the support of the European Union Horizon 2020 Research and Innovation Programme through the METAFAST project(Grant No.899673).; We predict theoretically a regime of photon-pair generation driven by the interplay of multiple bound states in the continuum resonances in nonlinear metasurfaces.This nondegenerate photon-pair generation is derived f...; 关键词：OPTICS PHOTONICS LIGHT metasurface spontaneous parametric down-conversion ENTANGLEMENT

Energy Decay of Solutions to a Nondegenerate Wave Equation with a Fractional Boundary Control: 《Journal of Partial Differential Equations》2021年第3期201-223,共23页TAHRI Mohamed BENKHEDDA Hanane BENAISSA Abbes; In this paper,we study the energy decay rate for a one-dimensional nondegenerate wave equation under a fractional control applied at the boundary.We proved the polynomial decay result with an estimation of the decay r...; 关键词：Nondegenerate wave equation fractional boundary control Frequency domain method Optimal polynomial stability

Nonreciprocal transition between two nondegenerate energy levels被引量：2: 《Photonics Research》2021年第5期879-886,共8页XUNWEI XU YANJUN ZHAO HUI WANG AIXI CHEN YU-XI LIU; National Natural Science Foundation of China(12064010,11904013,11847165,11775190);Natural Science Foundation of Jiangxi Province(20192ACB21002);National Basic Research Program of China(973 Program)(2014CB921401);Tsinghua University Initiative Scientific Research Program;Tsinghua National Laboratory for Information Science and Technology(TNList)Crossdiscipline Foundation。; Stimulated emission and absorption are two fundamental processes of light–matter interaction, and the coefficients of the two processes should be equal. However, we will describe a generic method to realize the signi...; 关键词：transition. effect. reciprocal

A two-mode squeezed light based on a double-pump phase-matching geometry: 《Chinese Physics B》2020年第7期337-345,共9页Xuan-Jian He Jun Jia Gao-Feng Jiao Li-Qing Chen Chun-Hua Yuan Wei-Ping Zhang; Project supported by the National Natural Science Foundation of China(Grant Nos.11974111,11474095,11874152,11604069,91536114,11654005,and 11234003);the Fundamental Research Funds for the Central Universities,China,the Science Foundation of Shanghai,China(Grant No.17ZR1442800);the National Key Research and Development Program of China(Grant No.2016YFA0302001).; We theoretically investigate the frequency-nondegenerate and frequency degenerate squeezed lights with a four-wave mixing process(4WM)driven by two pump fields crossing at a small angle.Different from a 4WM process dr...; 关键词：four-wave mixing phase matching frequency degenerate and spatial nondegenerate metrology

Zero Product Determined Jordan Algebras, II: 《Algebra Colloquium》2015年第1期109-118,共10页Mateja Grasic; The Albert algebra and the Jordan algebra of a nondegenerate symmetric bilinear form are shown to be zero product determined.; 关键词：zero product determined Jordan algebra Albert algebra Jordan algebra ofa nondegenerate symmetric bilinear form

ON INTERSECTIONS OF INDEPENDENT NONDEGENERATE DIFFUSION PROCESSES被引量：1: 《Acta Mathematica Scientia》2014年第1期141-161,共21页陈振龙; supported by National Natural Science Foundation of China(11371321);Zhejiang Provincial Natural Science Foundation of China(Y6100663);the Key Research Base of Humanities and Social Sciences of Zhejiang Provincial High Education Talents(Statis-tics of Zhejiang Gongshang University); Let X（1） = {X（1）（s）, s ∈ R＋} and X（2） = {X（2）（t）, t ∈ R＋} be two inde-pendent nondegenerate diffusion processes with values in Rd. The existence and fractal dimension of intersections of the sample pat...; 关键词：INTERSECTION diffusion processes hitting probability polar set HAUSDORFFDIMENSION

The isomorphic realization of nondegenerate solvable Lie algebras of maximal rank based on Kac-Moody algebras: 《Science China Mathematics》2013年第5期995-1014,共20页LU CaiHui ZHANG HaiShan; supported by National Natural Science Foundation of China(Grant No.11071147); In this paper,based on Kac-Moody algebra,the isomorphic realization of nondegenerate solvable Lie algebras of maximal rank is given,which in turn revels the closed connections between nondegenerate solvable Lie algebr...; 关键词：nilpotent Lie algebra solvable Lie algebra Kac-Moody algebra

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