HIGH-ORDER

作品数:527被引量:695H指数:10
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相关作者:刘洋刘洋王肖凤任志明赵岩更多>>
相关机构:南京航空航天大学中国海洋大学南京大学中国石油大学(北京)更多>>
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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中国航空科学基金更多>>
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Solitary,periodic,kink wave solutions of a perturbed high-order nonlinear Schrödinger equation via bifurcation theory
《Propulsion and Power Research》2024年第3期433-444,共12页Qiancheng Ouyang Zaiyun Zhang Qiong Wang Wenjing Ling Pengcheng Zou Xinping Li 
supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297;Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365;Hunan Province Graduate Research Innovation,China Project No.CX20231208;Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15).
In this paper,by using the bifurcation theory for dynamical system,we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlin-earity.Firstly,based on wave variables,the ...
关键词:Traveling wave solution High-order nonlinear Schrödinger equation Bifurcation theory Dynamical system Hamiltonian system 
Effective Control of Three Soliton Interactions for the High-Order Nonlinear Schrodinger Equation
《Chinese Physics Letters》2023年第10期24-28,共5页姚延立 伊厚会 张鑫 马国利 
Scientific Research Foundation of Weifang University of Science and Technology(Grant No.KJRC2022002);Shandong Province Higher Educational Science and Technology Program(Grant No.J18KB108);Research start-up fees for doctoral degree holders and senior professional title holders with master’s degrees of Binzhou University(Grant No.2022Y12)。
We take the higher-order nonlinear Schrodinger equation as a mathematical model and employ the bilinear method to analytically study the evolution characteristics of femtosecond solitons in optical fibers under higher...
关键词:SOLITONS SOLITON NONLINEAR 
High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws
《Science China Mathematics》2023年第7期1609-1648,共40页Jianzhen Qian Shuanghu Wang 
supported by National Natural Science Foundation of China(Grant Nos.11401035,11671413 and U1530261)。
We provide a systematic study for the generalized Riemann problem(GRP)of the nonlinear hyperbolic balance law,which is critically concerned with the construction of the spatial-temporally coupled high-order Godunov-ty...
关键词:nonlinear hyperbolic balance law generalized Riemann problem GRP solver generalized Riemann invariant 
Adaptive dynamic surface control of high-order strict feedback nonlinear systems with parameter estimations被引量:4
《Science China(Information Sciences)》2023年第5期289-290,共2页Mingzhe HOU Wenrui SHI Leyan FANG Guangren DUAN 
supported by National Natural Science Foundation of China(Grant No.62073096);Science Center Program of National Natural Science Foundation of China(Grant No.62188101);Heilongjiang Touyan Team Program。
Dear editor,The dynamics of system components is usually governed by high-order diferential equations in engineering practice.However,these high-order systems are mostly converted into first-order systems and treated ...
关键词:NONLINEAR STRICT governed 
A High-Order Semi-Lagrangian Finite Difference Method for Nonlinear Vlasov and BGK Models
《Communications on Applied Mathematics and Computation》2023年第1期170-198,共29页Linjin Li Jingmei Qiu Giovanni Russo 
Research of Linjin Li and Jingmei Qiu is supported by the NSF grant NSF-DMS-1818924;the Air Force Office of Scientific Computing FA9550-18-1-0257 and the University of Delaware;the Italian Ministry of Instruction,University and Research(MIUR)to support this research with funds coming from the PRIN Project 2017,No.2017KKJP4X and ITN-ETN Horizon 2020 Project,Project Reference 642768.
In this paper,we propose a new conservative high-order semi-Lagrangian finite difference(SLFD)method to solve linear advection equation and the nonlinear Vlasov and BGK models.The finite difference scheme has better c...
关键词:SEMI-LAGRANGIAN WENO Finite difference Vlasov-Poisson BGK equation Linear stability 
Influence of nonlinear spatial distribution of stress and strain on solving problems of solid mechanics
《Applied Mathematics and Mechanics(English Edition)》2022年第9期1355-1366,共12页Chunyu ZHANG Biao WANG 
supported by the Original Exploration Project of Natural Science Foundation of China(No.12150001);the National Key Research and Development Program of China(No.2018YFB1900400);the National Natural Science Foundation of China(No.11832019);the Nuclear Power Technology Innovation Center of Science Technology and Industry for National Defense of China(No.HDLCXZX-2021-HD-035)。
The stress and the strain should be defined as statistical variables averaged over the representative volume elements for any real continuum system.It is shown that their nonlinear spatial distributions undermine the ...
关键词:nonlinear spatial distribution homogenization error high-order gradient size effect 
A deep learning method for solving high-order nonlinear soliton equations被引量:1
《Communications in Theoretical Physics》2022年第7期57-69,共13页Shikun Cui Zhen Wang Jiaqi Han Xinyu Cui Qicheng Meng 
supported by National Science Foundation of China(52171251);Liao Ning Revitalization Talents Program(XLYC1907014);the Fundamental Research Funds for the Central Universities(DUT21ZD205);Ministry of Industry and Information Technology(2019-357);the Project of State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,MNR(QNHX2112)。
We propose an effective scheme of the deep learning method for high-order nonlinear soliton equations and explore the influence of activation functions on the calculation results for higherorder nonlinear soliton equa...
关键词:deep learning method physics-informed neural networks high-order nonlinear soliton equations interaction between solitons the numerical driven solution 
Coordination of Networked Nonlinear Multi-Agents Using a High-Order Fully Actuated Predictive Control Strategy被引量:3
《IEEE/CAA Journal of Automatica Sinica》2022年第4期615-623,共9页Guo-Ping Liu 
supported in part by the National Natural Science Foundation of China(62173255,62188101)。
This paper is concerned with the coordinative control problem of networked nonlinear multi-agents(NNM)with communication delays.A high-order fully actuated(HOFA)model is introduced to describe the nonlinear multi-agen...
关键词:method NONLINEAR COORDINATION 
Rogue waves during Typhoon Trami in the East China Sea被引量:2
《Journal of Oceanology and Limnology》2019年第6期1817-1836,共20页JIANG Xingjie GUAN Changlong WANG Daolong 
Supported by the National Key Research and Development Program of China(Nos.2016YFC1402004,2016YFC1401805)
As concluded from physical theory and laboratory experiment,it is widely accepted that nonlinearities of sea state play an important role in the formation of rogue waves;however,the sea states and corresponding nonlin...
关键词:rogue WAVE WAVE system TRACKING HIGH-ORDER SPECTRAL method NONLINEAR effect 
Retrieval of high-order susceptibilities of nonlinear metamaterials
《Chinese Physics B》2017年第9期223-227,共5页王志宇 邱仅朋 陈华 莫炯炯 郁发新 
Project supported by the National Natural Science Foundation of China(Grant Nos.61401395 and 61604128);the Scientific Research Fund of Zhejiang Provincial Education Department,China(Grant No.Y201533913);the Fundamental Research Funds for the Central Universities,China(Grant Nos.2016QNA4025 and 2016QN81002)
Active metamaterials embedded with nonlinear elements are able to exhibit strong nonlinearity in microwave regime.However, existing S-parameter based parameter retrieval approaches developed for linear metamaterials d...
关键词:retrieval high-order susceptibilities nonlinear metamaterials 
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