NONLINEAR

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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 
Macro fiber composite-based active control of nonlinear forced vibration of functionally graded plate
《Applied Mathematics and Mechanics(English Edition)》2025年第5期869-884,共16页Peiliang ZHANG Jianfei WANG 
Project supported by the National Natural Science Foundation of China(Nos.12072003 and 12372003);Beijing Natural Science Foundation of China(No.1222001)。
Owing to their high flexibility and directional actuation capabilities,macro fiber composites(MFCs)have attracted significant attention for the active control of structures,especially in the nonlinear vibration suppre...
关键词：macro fiber composite(MFC) nonlinear reson 
Nonlinear association between serum albumin levels and allcause mortality in elderly patients with chronic aortic regurgitation
《Journal of Geriatric Cardiology》2025年第4期423-432,共10页Ming-Hui LI Qing-Rong LIU Zhen-Yan ZHAO Hai-Yan XU Yong-Jian WU the CHINA-VHD Collaborators 
supported by the Chinese Academy of Medical Sciences Innovation Fund for Medical Sciences(2017-12M-3-002);the Central High Level Hospital Clinical Research Operating Expenses,China(Zero Balance 2022-GSP-GG-15);the Natural Science Foundation Project of the Inner Mongolia Autonomous Region of China(2022LHQN08003).
BACKGROUND Low serum albumin levels are established predictors of adverse outcomes in various cardiovascular conditions.However,the role of serum albumin in mortality among elderly patients with chronic aortic regurgi...
关键词：risk factor chronic aortic regurgitation ar elderly patients low serum albumin chronic aortic regurgitation all cause mortality serum albumin nonlinear association 
Observer-based stabilization for discrete nonlinear semi-Markov jump singularly perturbed models with mode-switching delay
《Science China(Information Sciences)》2025年第4期385-386,共2页Wenhai QI Runkun LI Ju H.PARK Zheng-Guang WU Huaicheng YAN 
supported by National Natural Science Foundation of China(Grant No.62473226)Young Taishan Scholar Project of Shandong Province of China(Grant No.tsqn202408169);supported by National Research Foundation of Korea(NRF)Grant funded by the Korean Government(MSIT)(Grant No.2019R1A5A8080290)。
Semi-Markov jump systems(S-MJMs)not only characterize hybrid systems but also address the limitations of Markov jump systems(MJMs)[1–3].Due to their ability to exhibit multi-time-scale features,singularly perturbed m...
关键词：nonlinear plant discrete nonlinear systems hybrid systems model practical systems observer based stabilization perturbed models spms effectively markov jump systems mjms due singularly perturbed para 
Robust adaptive distributed optimization for heterogeneous unknown second-order nonlinear multiagent systems
《Science China(Information Sciences)》2025年第4期387-388,共2页Ping GONG Qing-Guo WANG 
supported by National Natural Science Foundation of China(Grant Nos.62003142,62373060);Guangdong Basic and Applied Basic Research Foundation(Grant Nos.2023A1515011025,2020A1515110965);Guangdong Provincial Key Laboratory of IRADS(Grant No.2022B1212010006)。
The distributed optimization problem has drawn significant attention recently since it has a variety of applications in the economic dispatch of smart grids,regression of distributed data,optimal coordination of mobil...
关键词：mobile robot systems mrss distributed optimization problems multiagent systems mass economic dispatch smart gridsregression distributed dataoptimal coordination distributed optimization problem robust adaptive distributed optimization cooperatively minimize global cost function whe heterogeneous unknown second order nonlinear multiagent systems 
Nonlinear Interference-Aware Routing,Wavelength and Power Allocation in C+L+S Multi-Band Optical Networks
《China Communications》2025年第4期129-142,共14页Zhang Xu Xie Wang Feng Chuan Zeng Hankun Zhou Shanshan Zhang Fan Gong Xiaoxue 
supported in part by the National Natural Science Foundation of China under Grants U21B2005,62201105,62331017,U24B20134,62222103,and 62025105;in part by the Chongqing Municipal Education Commission under Grants KJQN202400621,KJQN202100643,and KJZDK202400608;in part by the China Postdoctoral Science Foundation under Grant 2021M700563;in part by the Chongqing Postdoctoral Funding Project under Grant 2021XM3052。
Multi-band optical networks are a potential technology for increasing network capacity.However,the strong interference and non-uniformity between wavelengths in multi-band optical networks have become a bottleneck res...
关键词：multiband optical communications multiband optical networks power allocation wavelength assignment 
Edge computing aileron mechatronics using antiphase hysteresis Schmitt trigger for fast flutter suppression
《Control Theory and Technology》2025年第1期153-160,共8页Tangwen Yin Dan Huang Xiaochun Zhang 
supported in part by the Aeronautical Science Foundation of China under Grant 2022Z005057001;the Joint Research Fund of Shanghai Commercial Aircraft System Engineering Science and Technology Innovation Center under CASEF-2023-M19.
An aileron is a crucial control surface for rolling.Any jitter or shaking caused by the aileron mechatronics could have catastrophic consequences for the aircraft’s stability,maneuverability,safety,and lifespan.This ...
关键词：AILERON Edge computing Flutter suppression MECHATRONICS Nonlinear hysteresis control Positive feedback 
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 
In situ stress inversion using nonlinear stress boundaries achieved by the bubbling method
《Journal of Rock Mechanics and Geotechnical Engineering》2025年第3期1510-1527,共18页Xige Liu Chenchun Huang Wancheng Zhu Joung Oh Chengguo Zhang Guangyao Si 
funded by the National Key R&D Program of China(Grant No.2022YFC2903904);the National Natural Science Foundation of China(Grant Nos.51904057 and U1906208).
Due to the heterogeneity of rock masses and the variability of in situ stress,the traditional linear inversion method is insufficiently accurate to achieve high accuracy of the in situ stress field.To address this cha...
关键词：In situ stress field Inversion method The bubbling method Nonlinear stress boundary Multiple linear regression method 
Finite-time H_(∞)control and energy cost optimization for nonlinear delayed systems through switching analysis and interval matrix method
《Science China(Information Sciences)》2025年第3期393-394,共2页Guici CHEN Huimin ZENG Song ZHU Shiping WEN Junhao HU 
supported by National Natural Science Foundation of China(Grant No.62373383);Open Research Fund of Hubei Society of Industrial and Applied Mathematics and Wuhan Society of Industrial and Applied Mathematics(Grant No.2022003)。
Stability,as one of the most important research directions,has caught the attention of many scholars[1–3].Simultaneously,in domains such as vessel control and vehicle systems,external disturbances are unavoidable.The...
关键词：FINITE NONLINEAR OPTIMIZATION 
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