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THE RESEARCH OF BLOW-UP IN 2D WEAKLY DAMPED FORCED KdV EQUATION ON THIN DOMAIN
《Applied Mathematics and Mechanics(English Edition)》2000年第10期1111-1118,共8页田立新 刘玉荣 刘曾荣 
theNationalNaturalScienceFoundationofChina (1 96 0 1 0 2 0 ) ;theYouthScienceandTechnologyFoundationofJiangsuProvince (BQ980 2
The time estimate of the blow up of the weakly damped forced KdV equation in thin 2 D domains is given.
关键词：weakly damped forced nonlinear solitary equation thin domains higher-dimensional dynamical system 
Generalized Uncertainty Principle and Black Hole Entropy of Higher-Dimensional de Sitter Spacetime被引量：1
《Communications in Theoretical Physics》2007年第3X期465-468,共4页ZHAO Hai-Xia LI Huai-Fan HU Shuang-Qi ZHAO Ren 
The project supported by the Natural Science Foundation of Shanxi Province under Grant No. 2006011012 tCorresponding author,
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-- Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coetticient ...
关键词：generalized uncertainty principle black hole entropy area theorem higher-dimensional spacetime 
Higher-Dimensional Integrable Systems Arising from Motions of Curves on S^2(R)and S^3(R)被引量：2
《Communications in Theoretical Physics》2008年第10期841-843,共3页QU Chang-Zheng LI Yan-Yan 
National Natural Science Foundation of China under Grant No.10671156;the Program for New Century Excellent Talents in Universities under Grant No.NCET-04-0968
We show that higher-dimensional integrable systems including the (2+1)-dimensional generalized sine-Gordon equation and the (2+1)-dimensional complex mKdV equation are associated with motions of surfaces inducedby end...
关键词：higher-dimensional integrable system motion of curve sine-Gordon equation complex mKdV equation 
Quantum Statistical Entropy of Five-Dimensional Black Hole被引量：1
《Communications in Theoretical Physics》2006年第5期849-852,共4页ZHAO Ren WU Yue-Qin ZHANG Sheng-Li 
The project supported by National Natural Science Foundation of China under Grant No. 10374075 and Natural Science Foundation of Shanxi Province of China under Grant No. 20001009
The generalized uncertainty relation is introduced to calculate quantum statistic entropy of a black hole. By using the new equation of state density motivated by the generalized uncertainty relation, we discuss entro...
关键词：higher-dimensional spacetime entropy of black hole generalized uncertainty relation quantum statistics 
Gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall gravity
《Chinese Physics B》2025年第3期278-289,共12页Tongzheng Wang Yuhao Cui Kai Lin 
Project supported by the National Natural Science Foundation of China(Grant No.42230207);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(Grant No.G1323523064)。
We apply the WKB approximation method,matrix method,and finite difference method to study the gravitational quasi-normal modes of charged spherically symmetric black holes surrounded by quintessence fluid in Rastall g...
关键词：quasi-normal modes Rastall gravity HIGHER-DIMENSIONAL 
Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD fows
《Applied Mathematics and Mechanics(English Edition)》2023年第4期669-692,共24页M.HAMID M.USMAN Zhenfu TIAN 
Project supported by the National Natural Science Foundation of China(Nos.12250410244,11872151);the Jiangsu Province Education Development Special Project-2022 for Double First-ClassSchool Talent Start-up Fund of China(No.2022r109);the Longshan Scholar Program of Jiangsu Province of China。
The work is devoted to the fractional characterization of time-dependent coupled convection-diffusion systems arising in magnetohydrodynamics(MHD)flows.The time derivative is expressed by means of Caputo’s fractional...
关键词：higher-dimensional Chelyshkov polynomial(CP) time-dependent magneto-hydrodynamics(MHD)flow fractional convection-diffusion model convergence stability and error bound finite difference and higher-order scheme 
Higher-dimensional integrable deformations of the modified KdV equation被引量：1
《Communications in Theoretical Physics》2023年第7期15-21,共7页Xiazhi Hao S Y Lou 
sponsored by the National Natural Science Foundations of China(Nos.12235007,11975131,11435005,12275144,11975204);KC Wong Magna Fund in Ningbo University;Natural Science Foundation of Zhejiang Province No.LQ20A010009。
The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of integrability.The well-known modified Kd V equation is a prototypical...
关键词：higher-dimensional integrable equation conservation form deformation mapping Lax integrability symmetry integrability 
A New Route to the Interpretation of Hopf Invariant
《Communications in Theoretical Physics》2008年第7期53-58,共6页REN Ji-Rong LI Ran DUAN Yi-Shi 
National Natural Science Foundation of China and Cuiying Project of Lanzhou University
We discuss an object from algebraic topology,Hopf invariant,and reinterpret it in terms of the φ-mappingtopological current theory.The main purpose of this paper is to present a new theoretical framework,which can di...
关键词：Hopf invariant higher-dimensional knot linking number 
Dynamical Soliton Wave Structures of One-Dimensional Lie Subalgebras via Group-Invariant Solutions of a Higher-Dimensional Soliton Equation with Various Applications in Ocean Physics and Mechatronics Engineering
《Communications on Applied Mathematics and Computation》2022年第4期1531-1582,共52页Oke Davies Adeyemo Chaudry Masood Khalique 
the North-West University,Mafikeng campus for its continued support.
Having realized various significant roles that higher-dimensional nonlinear partial differ-ential equations(NLPDEs)play in engineering,we analytically investigate in this paper,a higher-dimensional soliton equation,wi...
关键词：Higher-dimensional soliton equation Lie group analysis One-dimensional optimal system of Lie subalgebras Exact soliton solutions Conserved currents 
On higher-dimensional contrast structure of singularly perturbed Dirichlet problem被引量：4
《Science China Mathematics》2012年第3期495-507,共13页NI MingKang WANG ZhiMing 
supported by National Natural Science Foundation of China (Grant Nos. 11071075,11171113);the NSFC-the Knowledge Innovation Program of the Chinese Academy of Science(Grant Nos. 30921064,90820307);Shanghai Municipal Natural Science Foundation (Grant Nos. 10ZR1409200,11ZR1410200);E-Institutes of the Shanghai Municipal Education Commission (Grant No. N.E03004)
In this paper,we address the existence and asymptotic analysis of higher-dimensional contrast structure of singularly perturbed Dirichlet problem.Based on the existence,an asymptotical analysis of a steplike contrast ...
关键词：higher-dimensional contrast structure singular perturbation internal layer heteroclinic orbit 
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