检索结果-南通市图书馆

Higher-dimensional integrable deformations of the modified KdV equation

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2023年第7期75卷 15-21页

作者： xiazhi Hao S Y Lou College of Science Zhejiang University of TechnologyHangzhouChina School of Physical Science and Technology Ningbo UniversityNingbo315211China

The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of *** well-known modified Kd V equation is a prototypical example of an integrable evolution equation in one spatial *** there exist integrable analogs of the modified Kd V equation in higher spatial dimensions?In what follows,we present a positive answer to this *** particular,rewriting the(1+1)-dimensional integrable modified Kd V equation in conservation forms and adding deformation mappings during the process allows one to construct higher-dimensional integrable ***,we illustrate this idea with examples from the modified Kd V hierarchy and also present the Lax pairs of these higher-dimensional integrable evolution equations.

关键词： higher-dimensional integrable equation conservation form deformation mapping Lax integrability symmetry integrability

A FULL CURRENT AC-MODULATION EXPERIMENT IN CT-6B TOKAMAK

在线全文

学校读者我要写书评

暂无评论

Chinese Physics Letters 1990年第10期7卷 449-452页

作者： HAN Gonghe QI xiazhi WANG Wenshu ZHENG Shaobai LIU Mahe Institute of Physics Academia SinicaBeijing 100080 University of Science and Technology of China Hefei 230026

A full current ac-modulating tokamak discharges have been achieved in the CT-6B *** modulating changes are observed in plasma current,loop voltage,soft X-ray radiations,electron density,Hαline emission,and hard X-ray radiations when the modulating pulse is *** continuous tokamak operation with many cycles of low frequency modulating plasma current indicates the possibility of steady state tokamak operation.

关键词： tokamak TOKAMAK pulse

Decomposition solutions and B?cklund transformations of the B-type and C-type Kadomtsev–Petviashvili equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2024年第6期 36-46页

作者： xiazhi Hao S Y Lou College of Science Zhejiang University of Technology School of Physical Science and Technology Ningbo University

This paper introduces a modified formal variable separation approach, showcasing a systematic and notably straightforward methodology for analyzing the B-type Kadomtsev–Petviashvili(BKP) equation. Through the application of this approach, we successfully ascertain decomposition solutions, B?cklund transformations, the Lax pair, and the linear superposition solution associated with the aforementioned equation. Furthermore, we expand the utilization of this technique to the C-type Kadomtsev–Petviashvili(CKP) equation, leading to the derivation of decomposition solutions, B?cklund transformations, and the Lax pair specific to this *** results obtained not only underscore the efficacy of the proposed approach, but also highlight its potential in offering a profound comprehension of integrable behaviors in nonlinear systems. Moreover, this approach demonstrates an efficient framework for establishing interrelations between diverse systems.

关键词：

Numerical investigations on cluster characteristics in the supercritical water circulating fluidized bed riser

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Particuology 2024年第11期94卷 281-293页

作者： Kenan Xi Runqing Li xiazhi Li Mei Li Xiudong Xu Yu Zhang Hao Wang Youjun Lu Northwest Institute of Nuclear Technology Xi'an710024China State Key Laboratory of Multiphase Flow in Power Engineering Xi'an Jiaotong UniversityXi'an710049China Xi'an Institute of Applied Optics Xi'an710065China

There are currently no reports about clusters in the supercritical water circulating fluidized bed(SCWCFB).Simulations were conducted to investigate the numbers,diameters,aspect ratios,circularity,and orientation angles of cluster in the riser of SCWCFB via two-fluid model across different flow velocities,solid circulation rates,pressures,and *** results show that cluster numbers are mainly between 10 and 80 per *** are more at the bottom but less at the top,and more near the wall but less at the *** diameters are mainly between 0.2 and 0.5 times the bed *** are large at the bottom but small at the top,and large at the center but small near the *** aspect ratios are mainly between 0 and 1,indicating that most clusters have shorter width than their ***-like clusters are more likely to appear near the walls,and clusters at the center of the riser are more likely to be *** circularity is mainly between 0.2 and 0.4,suggesting that the shapes of clusters are far from the *** absolute values of cluster orientation angles are mainly between 75°and 90°,indicating that most clusters move in the vertical *** fluid velocities may facilitate cluster coalescence.

关键词： Supercritical water Circulating fluidized bed Cluster Two-fluid model Riser

Modulated Phase Lag Relations to Determine the Scaling Law of the Electron Thermal Conductivity in Tokamak

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics Letters 1992年第5期9卷 247-249页

作者： XU Yan WANG Long ZHENG Shaobai QI xiazhi Institute of Physics Academia SinicaBeijing 100080

We propose a method to determine the scaling law of the electron thermal conductivity χ^(0)_(e)T^(λ)_(e)with modulating heat *** between tempera-ture phase lag and parameters(χ^(0)_(e)λ)is established,from which t... 详细信息

关键词： tokamak Electron tempera

Preliminary Experimental Results of ac Operation in the CT-6B Tokamak

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics Letters 1995年第6期12卷 362-365页

作者： YANG Xuanzong ZHENG Shaobai JIANG Diming HAN Gonghe FENG Chunhua QI xiazhi WANG Wenshu LI Wenlai LI Zanliang DONG Lifang Institute of Physics Academia SinicaBeijing 100080

The preliminary experimental results of ac plasma discharges in the CT-6B tokamak have been achieved by an active plasma current feedback system and the keys to a smooth transition through current zero and some phenom... 详细信息

关键词： tokamak Tokamak system

Decompositions of the Kadomtsev-Petviashvili equation and their symmetry reductions

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2024年第3期33卷 150-159页

作者：陈孜童贾曼郝夏芝楼森岳 School of Mathematics and Statistics Ningbo UniversityNingbo 315211China School of Physical Science and Technology Ningbo UniversityNingbo 315211China College of Science Zhejiang University of TechnologyHangzhou 310014China

Starting with a decomposition conjecture,we carefully explain the basic decompositions for the Kadomtsev-Petviashvili(KP)equation as well as the necessary calculation procedures,and it is shown that the KP equation allows the Burgers-STO(BSTO)decomposition,two types of reducible coupled BSTO decompositions and the BSTO-KdV ***,we concentrate ourselves on pointing out the main idea and result of Bäcklund transformation of the KP equation based on a special superposition principle in the particular context of the BSTO *** the framework of standard Lie point symmetry theory,these decompositions are studied and the problem of computing the corresponding symmetry constraints is treated.

关键词： Kadomtsev-Petviashvili(KP)equation decomposition Bäcklund transformation symmetry reduction

Homogenous Balance Method and Exact Analytical Solutions for Whitham-Broer-Kaup Equations in Shallow Water

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2004年第3期19卷 240-246页

作者： xiazhi DepartmentofMathematics BohaiUniversityJinzhou121000China

Based on the homogenous balance method and with the help of mathematica, the Backlund transformation and the transfer heat equation are derived. Analyzing the heat-transfer equation, the multiple soliton solutions and other exact analytical solution for Whitham-Broer-Kaup equations(WBK) are derived. These solutions contain Fan's, Xie's and Yan's results and other new types of analytical solutions, such as rational function solutions and periodic solutions. The method can also be applied to solve more nonlinear differential equations.

关键词： improved homogenous balance method Backlund transformation solitary wave solution multiple solution exact analytical solution rational solution

Estimation of Critical Rate of Temperature Rise for Thermal Explosion of First Order Autocatalytic Decomposition Reaction Systems by Using Non-isothermal DSC

在线全文

学校读者我要写书评

暂无评论

Chemical Research in Chinese Universities 2004年第2期20卷 163-165页

作者： GUOPeng-jiang HURong-zu ZHANGHai xiazhi-ming SONGJi-rong GAOSheng-li NINGBin-ke SHIQi-zhen LIURong LUGui-e JIANGJi-you SchoolofChemistryandChemicalEngineering SouthwesternNormalUniversityChongqing400715P.R.China ShaanxiKeyLaboratoryofPhysico-InorganicChemistryandDepartmentofChemistry Xi''anModernChemistryResearchInstitute Xi''an710065P.R.China DepartmentofMathematics NorthwestUniversityXi''an710069P.R.China DepartmentofFoodEngineering NanchangUniversityNanchang330047P.R.China OrdnanceEngineeringInstitute Shijiazhuang050000P.R.China

A method of estimating the critical rate of temperature rise for the thermal explosion of first order autocatalytic decomposition reaction systems by using non-isothermal DSC is presented. The information was obtained on the increasing rate of temperature for the first order autocatalytic decomposition of nitrocellulose containing 13.86% nitrogen converting into the thermal explosion.

关键词： DSC Critical rate of temperature rise NC Non-isothermal change Thermal explosion