SPACE-TIME

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Breathers and multi wave solutions of three different space-time fractional nonlinear coupled waves dynamical models and their applications
《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期33-52,共20页Ambreen Sarwar GANG Tao Muhammad Arshad Iftikhar Ahmed LU Dian-chen 
In this article,several kinds of novel exact waves solutions of three well-known different space-time fractional nonlinear coupled waves dynamical models are constructed with the aid of simpler and effective improved ...
关键词：conformable fractional derivative SOLITONS breather waves jacobi elliptic function solutions 
SPACE-TIME CONTINUOUS AND TIME DISCONTINUOUS GALERKIN SCHEMES BASED ON ISOGEOMETRIC ANALYSIS FOR NONLINEAR TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
《Journal of Computational Mathematics》2025年第1期89-120,共32页Ang Ge Jinye Shen Lijun Yi 
supported in part by the National Natural Science Foundation of China(Grant No.12101509);by the Undergraduate Research and Learning Program of Southwestern University of Finance and Economics;L.Yi was supported in part by the National Natural Science Foundation of China(Grant No.12171322);by the Natural Science Foundation of Shanghai(Grant No.21ZR1447200).
This paper presents space-time continuous and time discontinuous Galerkin schemes for solving nonlinear time-fractional partial differential equations based on B-splines in time and non-uniform rational B-splines (NUR...
关键词：SPACE-TIME Nonlinear time-fractional Sobolev-type equations Time-fractional Allen-Cahn equation Isogeometric analysis Error estimation 
On the Riemann-Hilbert problem for the reverse space-time nonlocal Hirota equation with step-like initial data
《Communications in Theoretical Physics》2025年第2期30-38,共9页Bei-Bei Hu Ling Zhang Zu-Yi Shen Ji Lin 
supported by the National Natural Science Foundation of China under Grant No.12147115;the Discipline(Subject)Leader Cultivation Project of Universities in Anhui Province under Grant Nos.DTR2023052 and DTR2024046;the Natural Science Research Project of Universities in Anhui Province under Grant No.2024AH040202;the Young Top Notch Talents and Young Scholars of High End Talent Introduction and Cultivation Action Project in Anhui Province;the Scientific Research Foundation Funded Project of Chuzhou University under Grant Nos.2022qd022 and 2022qd038。
In this paper,we use the Riemann-Hilbert(RH)method to investigate the Cauchy problem of the reverse space-time nonlocal Hirota equation with step-like initial data:q(z,0)=o(1)as z→-∞and q(z,0)=δ+o(1)as z→∞,where...
关键词：nonlocal Hirota equation Cauchy problem Riemann-Hilbert problem step-like initial data 
Dynamic generation of multiplexed vortex beams by a space-time-coding metasurface
《Photonics Research》2025年第1期225-234,共10页PENGCHENG TANG LIMING SI QIANQIAN YUAN JIE TIAN JIAXUAN DENG TIANYU MA XIUE BAO CHONG HE WEIREN ZHU 
National Key Research and Development Program of China(2022YFF0604801);National Natural Science Foundation of China(62271056,62171186,62201037);Beijing Natural Science Foundation of China-Haidian Original Innovation Joint Fund(L222042);Open Research Fund of State Key Laboratory of Millimeter Waves(K202326);Open Research Fund of State Key Laboratory of Space-Ground Integrated Information Technology(6142221200201);Basic Research Foundation of Beijing Institute of Technology,China(BITBLR2020014);111 Project of China(B14010).
Dynamic generation of multimode vortex waves carrying orbital angular momentum(OAM)utilizing programmable metasurfaces has attracted considerable attention.Yet,it is still a challenge to achieve multiplexed vortex wav...
关键词：SURFACE MODE DYNAMIC 
Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space R^(2)×T
《Science China Mathematics》2024年第12期2713-2752,共40页Jun Li Fei Tao Huicheng Yin 
supported by National Natural Science Foundation of China(Grant No.11871030);supported by National Natural Science Foundation of China(Grant No.11731007)。
In this paper,for the 3D quadratic nonlinear Klein-Gordon equation on the product space R^(2)×T,we focus on the lower bound of the lifespan of the smooth solution with slowly decaying initial data.When the size of in...
关键词：quasilinear Klein-Gordon equation almost global solution Z-norm Littlewood-Paley decomposition space-time resonance method energy estimate 
The Space-Time Semi-Analytical Meshless Methods for Coupled Burgers'Equations
《Wuhan University Journal of Natural Sciences》2024年第6期572-578,共7页ZHANG Zhiqiang WANG Fuzhang 
the Science and Technology Research Project of Henan Province (242102231052);the Key Scientific Research Plan of Colleges and Universities in Henan Province (23B140006);the Natural Science Foundation of Jiangxi Province (20224BAB201018)。
In this paper,a simple direct space-time semi-analytical meshless scheme is proposed for the numerical approximation of the coupled Burgers'equations.During the whole solution procedure,two different schemes are consi...
关键词：radial basis functions coupled Burgers'equations meshless methods numerical simulation 
Divergent behaviour of soil nutrients imprinted by different land management practices in the Three Gorges Reservoir Area,China
《International Soil and Water Conservation Research》2024年第4期896-907,共12页Minxin Song Qiang Tang Chen Han Chuan Yuan Qingyuan Yang Jie Wei Xiubin He Xiheng Lv Adrian L.Collins 
supported by the Science Fund for Distinguished Young Scholars of Chongqing(cstc2021jcyj-jqX0026);the Special Fund for Youth Team of Southwest University(SWU-XDJH202306);the Fundamental Research Funds for the Central Universities(SWU0200013);the National Natural Science Foundation of China(U2040207);funded by the UK Research and Innovation-Biotechnology and Biological Sciences Research Council(UKRI-BBSRC)via grant award BB/010961/1(Resilient Farming Futures)-specifically work package 2-BBS/E/RH/230004B;Detecting agroecosystem‘resilience’using novel data science methods.
Soil nutrients are essentially regulated by land management practices via modulating biotic element input and metabolism.The Three Gorges Reservoir Area in China was dominated by a farming landscape,but land managemen...
关键词：REFORESTATION Cropland abandonment Land use conversion Space-time substitution approach 
From Dirac’s Aether to the Dirac Equation
《Journal of High Energy Physics, Gravitation and Cosmology》2024年第4期1450-1466,共17页Richard D. Bateson 
In 1951, Dirac proposed a formalism for a Lorentz invariant Aether with a vacuum state that contains all possible velocity states at each space-time point. Dirac showed no explicit path from the Aether towards the Qua...
关键词：Dirac Aether Lorentz Invariance Dirac Equation Quantum Mechanics Space-Time Lattice Dirac Spinors Inertial Mass Metric Modification Space-Time Curvature General Relativity 
On Scalar Planck Waves
《Journal of High Energy Physics, Gravitation and Cosmology》2024年第4期1551-1563,共13页Lewis Nash 
The sound of space-time at the large scale is observed in the form of gravitational waves, which are disturbances in space-time produced by wavelike distortions (or kinks) in the gravitational field of an accelerating...
关键词：Scalar Planck Waves Quantum Space-Time Dynamics Gravitational Waves Gravitational Displacement Field Artificial Gravity 
Unruh Metric Tensor HUP via Planckian Space-Time Compared to HUP Based Complexity of Measured System Results to Obtain Inflaton Potential Magnitude
《Journal of High Energy Physics, Gravitation and Cosmology》2024年第4期1628-1642,共15页Andrew Walcott Beckwith 
First of all, we restate a proof of a highly localized special case of a metric tensor uncertainty principle first written up by Unruh. Unruh did not use the Roberson-Walker geometry which we do, and it so happens tha...
关键词：Massive Gravitons Heisenberg Uncertainty Principle (HUP) 
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