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New Modified Jacobi Elliptic Function Expansion Method and Its Application to （3＋1）-Dimensional KP Equation

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Communications in Theoretical Physics 2006年第6期45卷 1063-1068页

作者： DOU Fu-Quan SUN Jian-An DUAN Wen-Shan shi yu-ren Lü Ke-Pu HONG Xue-ren College of Physics and Electronics Engineering Northwest Normal University Lanzhou 730070 China

With the aid of computerized symbolic computation, the new modified Jacobi elliptic function expansion method for constructing exact periodic solutions of nonlinear mathematical physics equation is presented by a new general ansatz. The proposed method is more powerful than most of the existing methods. By use of the method, we not only can successfully recover the previously known formal solutions but also can construct new and more general formal solutions for some nonlinear evolution equations. We choose the （3＋1）-dimensional Kadomtsev-Petviashvili equation to illustrate our method. As a result, twenty families of periodic solutions are obtained. Of course, more solitary wave solutions, shock wave solutions or triangular function formal solutions can be obtained at their limit condition.

关键词： MJEFE method KP equation periodic solutions solitary wave solutions

Effect of Polynomial Expressed Distribution Dust Particles for Unmagnetized Two-Ion-Temperature Dusty Plasma

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Communications in Theoretical Physics 2009年第8期52卷 346-350页

作者： HE Guang-Jun LI Xiao-Li LIN Mai-Mai shi yu-ren DUAN Wen-Shan Department of Physics Northwest Normal University Lanzhou 730070 China

Linear dispersion relation for linear wave and a Kadomtsev-Petviashvili (KP) equation for nonlinearwave are given for the unmagnetized two-ion-temperature cold dusty plasma with many different dust grain *** numerical results of variations of linear dispersion with respect to the different dust size distribution are ***,how the amplitude,width,and propagation velocity of solitary wave vary vs different dust size distribution isalso studied numerically in this paper.

关键词： polynomial expressed dust size distribution linear dispersion relation Kadomtsev-Petviashvili (KP) equation

Effect of an Arbitrary Dust Size Distribution Dust Particles for Vortex-Like Ion Distribution Dusty Plasma

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Communications in Theoretical Physics 2009年第9期52卷 517-522页

作者： WEI Ju-Na shi yu-ren HE Guang-Jun JIANG Xin DUAN Wen-Shan CHEN Jian-Min Department of Physics Northwest Normal University Lanzhou 730070 China State Key Laboratory of Solid Lubrication Lanzhou Institute of Chemical Physics Chinese Academy of Science Lanzhou 720000 China

In order to investigate the effect of an arbitrary dust size distribution for vortex-like ion distributiondusty plasma,we use a reasonable polynomial-expressed function to represent an arbitrary dust size *** results of linear dispersion relation,nonlinear solitary wave amplitude,width and velocity for polynomialexpressed dust size distribution dusty plasma with vortex-like ion distribution have been studied.

关键词： vortex-like ion distribution linear dispersion relation solitary wave

Analytical Solutions to the Time-Independent Gross-Pitaevskii Equation with a Harmonic Trap

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Chinese Physics Letters 2012年第11期29卷 8-12页

作者： shi yu-ren WANG Guang-Hui LIU Cong-Bo ZHOU Zhi-Gang YANG Hong-Juan College of Physics and Electronic Engineering Northwest Normal UniversityLanzhou 730070

We try to find the analytical solutions to the time-independent Gross-Pitaevskii equation,a nonlinear Schrodinger equation used in the simulation of Bose–Einstein condensates trapped in a harmonic *** the homotopy analysis method and the Galerkin spectral method are *** investigate the one-dimensional case and obtain the approximate analytical solutions *** between the analytical solutions and the numerical solutions has been *** results indicate that they agree very well with each other when the atomic interaction is not too strong.

关键词： potential equation analytical

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同伦分析法在求解耗散系统中的应用

物理学报 2010年第1期59卷 67-74页

作者：石玉仁杨红娟西北师范大学物理与电子工程学院兰州730070

利用同伦分析法求解了KdV-Burgers方程,得到了它的解析近似解,该解与精确解符合得非常好.结果表明同伦分析法在求解某些耗散系统时,仍然是一种行之有效的方法.

关键词：同伦分析法 KdV—Burgers方程解析解

电网建设外部环境中利益群体博弈关系仿真分析

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电力系统保护与控制 2010年第22期38卷 8-14页

作者：刘贞阎建明施於人重庆理工大学工商管理学院重庆400030 清华大学能源环境经济研究室北京100084

目前电网建设政策处理难度加大,导致电网建设发展缓慢,并严重制约了经济发展。基于复杂自适应系统理论,采用经济学仿真的方法构建了基于讨价还价的三方谈判模型。再现了电网公司、基层组织及当地居民三方在电网建设政策处理过程中的行... 详细信息

目前电网建设政策处理难度加大,导致电网建设发展缓慢,并严重制约了经济发展。基于复杂自适应系统理论,采用经济学仿真的方法构建了基于讨价还价的三方谈判模型。再现了电网公司、基层组织及当地居民三方在电网建设政策处理过程中的行为特征。基于电网建设政策处理的约束,分析了博弈三方对谈判成本的敏感度及其对三方决策行为的影响。认为越早达成协议,则谈判的沉淀成本就越小,从而造成冲突升级的概率变小。研究从理论与方法上为设计冲突互适应机制奠定了基础。

关键词：电网建设利益群体博弈模型仿真分析

Alteration mechanism and classification and mechanical properties of altered granite

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Journal of Earth Science 2025年

作者： DONG Jinyu shi Shang LIU Handong ren Minghao LI Jianyong North China University of Water Resources and Electric Power College of Geosciences and Engineering， North China University of Water Resources and Electric Power

Altered rock， often encountered in major engineering projects， can seriously affect the stability of rocks and slopes surrounding deeply buried tunnels. This study addressed the alteration mechanism， alteration degree classification， and mechanical parameters of altered rock in engineering project areas using field testing， thin slice identification， X-ray diffraction， and major element testing. Results showed that the altered rock types in the areas of the Pingjiang Pumped Storage Power Station (Hunan Province) and a diversion tunnel in northern Xinjiang include biotite granodiorite， biotite monzogranite， and cataclastic granite， and that the main alteration mechanisms are chloritization of biotite and clayization of feldspar minerals. The altered rocks were classified as slightly， moderately， or strongly altered according to their apparent characteristics， rebound value， longitudinal wave velocity， metamorphic mineral content， and porosity. The bulk density， elastic modulus， cohesion， and internal friction angle (Poisson’s ratio) of the altered rocks decreased (increased) with increase in the degree of alteration. Numerical simulations showed that in altered rock slope areas， the zone of strong rock alteration and the moderate–strong alteration contact zone exhibit locally large deformations that represent certain hazard to engineering projects. These results provide valuable guidance and support for major projects in altered rock areas.

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环形运动势搅拌下偶极玻色-爱因斯坦凝聚体中的von Kármán涡街

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物理学报 2023年第8期72卷 77-83页

作者：席忠红赵永珍王光弼石玉仁甘肃民族师范学院物理与水电工程系合作747000 西北师范大学物理与电子工程学院兰州730070 甘肃省原子分子物理与功能材料重点实验室兰州730070

数值研究了偶极玻色-爱因斯坦凝聚体(Bose-Einstein condensate,BEC)在环形运动高斯势搅拌时的动力学行为.当高斯势运动速度和尺寸逐渐变化时,偶极BEC中将出现稳定层流、涡旋偶极子、Bénard–von Kármán(BvK)涡街以及混乱激发4种模式... 详细信息

数值研究了偶极玻色-爱因斯坦凝聚体(Bose-Einstein condensate,BEC)在环形运动高斯势搅拌时的动力学行为.当高斯势运动速度和尺寸逐渐变化时,偶极BEC中将出现稳定层流、涡旋偶极子、Bénard–von Kármán(BvK)涡街以及混乱激发4种模式.结果表明高斯势在偶极BEC中圆周运动时产生涡街的条件非常苛刻,只有适当尺寸的高斯势以合适的速度运动时,尾流中周期性脱落的具有相同旋量的涡旋对稳定的分布在内外两个圆环上,形成BvK涡街.在实验参数下进行系统数值计算得到了不同偶极相互作用时的相图,讨论了偶极相互作用以及高斯势速度和尺寸对不同激发模式的影响.通过高斯势所受拖拽力的计算,分析了不同激发的物理学机制.

关键词：偶极Bose-Einstein 凝聚偶极子 Bénard–von Kármán 涡街

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缩小收入差距构建社会主义和谐社会

重庆工学院学报 2006年第1期20卷 27-29,93页

作者：余世仁重庆工商大学商务策划学院重庆400067

社会公平是建设和谐社会的基石。分析了收入差距扩大的不利影响。采取有效措施,缩小收入差距,实现社会成员间经济利益的平等,构建社会主义和谐社会。

关键词：收入差距和谐社会社会公平