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ON NONLINEAR GRAVITY travelling WAVE

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Science China Chemistry 1992年第12期35卷 1471-1484页

作者：黄思训张铭 LASG Academia Sinica Nanjing 211101 PRC

In this paper, a two--layer model with dispersive and dissipative effects but without Co-?iolis effect is investigated. It is proved that in the model, under certain parameter condi-tions, there exists monotone travelling wave as well as oscillation travelling wave in additionto the nonlinear periodic solution and solitary wave. The conditions for their existence areprovided. It is particularly pointed out that the pattern of the oscillation travelling wave issimilar to that of the pressure upwelling wave of a squall line which passes certain region.

关键词： squall line homoclinic orbit monotone travelling wave oseillation travelling wave

Thoughts of a travelling ecologist 17.One biosecurity

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生物安全学报 2021年第1期30卷 1-2,28页

作者： Gabor L.LOVEI Institute of Applied Ecology Fujian Agriculture and Forestry UniversityFuzhouFujian 350002China&Department of AgroecologyAarhus UniversityFlakkebjerg Research CentreDK-4200 SlagelseDenmark

The still-untamed SARS-CoV-2 pandemic underlined,again,two important facts that have been known for a long while but conveniently forgotten by humankind.One is that we are profoundly linked to other organisms and natu... 详细信息

关键词： chains travelling conveniently

travelling Solitary Wave Solutions to Higher Order Korteweg-de Vries Equation

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Open Journal of Applied Sciences 2019年第5期9卷 354-360页

作者： Chunhuan Xiang Honglei Wang School of Public Health and Management Chongqing Medical University Chongqing China College of Medical Informatics Chongqing Medical University Chongqing China

The travelling solitary wave solutions to the higher order Korteweg-de Vries equation are obtained by using tanh-polynomial method. The method is effective and concise, which is also applied to various partial differential equations to obtain traveling wave solutions. The numerical simulation of the solutions is given for completeness. Numerical results show that the tanh-polynomial method works quite well.

关键词： Higher Order Korteweg-de Vries Equation travelling Wave Solutions Solitary Wave

travelling Waves: Interplay of Low to High Reynolds Number and Tan-Cot Function Method to Solve Burger’s Equations

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Journal of Applied Mathematics and Physics 2019年第4期7卷 861-873页

作者： Md. Kamrujjaman Asif Ahmed Jahrul Alam Department of Mathematics University of Dhaka Dhaka Bangladesh Department of Mathematics and Statistics Memorial University St. John’s Canada

We study the nonlinear parabolic equations for travelling wave solutions of Burger’s equations. The purpose of the present work is to study various types of Burger’s equations describing waves and those are based on nonlinear equations. We focus on to describe the analytic solution in the special pattern of travelling wave solutions using tan-cot function method. We discuss about inviscid and viscous version of Burger’s equation for fluid flow and investigate the effects of internal friction of a fluid via Reynolds number. By changing the velocity amplitude, the nature of flows with shock wave and disturbance are observed. For numerical solutions, the Crank-Nicolson scheme is introduced to establish the wave solutions.

关键词： Nonlinear PDEs Tan-Cot Function Method travelling Wave Solutions Burg-er’s Equation Reynolds Number Crank-Nicolson Scheme

travelling Wave Solution of the Fisher-Kolmogorov Equation with Non-Linear Diffusion

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Applied Mathematics 2013年第8期4卷 148-160页

作者： Muhammad Shakeel Department of Mathematics Air University Islamabad Pakistan

In this paper we study one-dimensional Fisher-Kolmogorov equation with density dependent non-linear diffusion. We choose the diffusion as a function of cell density such that it is high in highly cell populated areas and it is small in the regions of fewer cells. The Fisher equation with non-linear diffusion is known as modified Fisher equation. We study the travelling wave solution of modified Fisher equation and find the approximation of minimum wave speed analytically, by using the eigenvalues of the stationary states, and numerically by using COMSOL (a commercial finite element solver). The results reveal that the minimum wave speed depends on the parameter values involved in the model. We observe that when diffusion is moderately non-linear, the eigenvalue method correctly predicts the minimum wave speed in our numerical calculations, but when diffusion is strongly non-linear the eigenvalues method gives the wrong answer.

关键词： Fisher-Kolmogorov Equation Non-Linear Diffusion travelling Wave Wave Speed Pulled Front Pushed Front

Effect of cyclotron resonance on ‘hot’ dispersion in a staggered double metallic grating sheet beam travelling wave tube

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Plasma Science and Technology 2019年第8期21卷 89-96页

作者：王晶樊宇杨晨赵鼎王刚罗积润 Research and Development Center of Space TWT Beijing100190People’s Republic of China Key Laboratory of High Power Microwave Sources and Technologies Chinese Academy of SciencesBeijing100190People’s Republic of China University of Chinese Academy of Sciences Beijing100049People’s Republic of China

Based on the beam wave synchronous interaction in transverse and longitudinal directions at the same time and starting from Maxwell’s equation and linear Vlasov equation, the beam–wave interaction ‘hot’ dispersion equation considering both cyclotron resonance and Cherenkov resonance in a staggered double metallic grating traveling wave tube is deduced.Through the reasonable selection for geometric and electrical parameters, the numerical calculation and analysis of the ‘hot’ dispersion equation shows that the beam–wave interaction gain and frequency band with the cyclotron resonance enhancement effect are higher than those with only Cherenkov resonance radiation.

关键词： staggered double metallic grating sheet beam travelling wave tube cyclotron resonance Cherenkov effects gain

Separation of inclusions from liquid metal contained in a triangle/square pipe by travelling magnetic field

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中国有色金属学会会刊：英文版 2000年第2期10卷 240-245页

作者：钟云波任忠鸣邓康蒋国昌徐匡迪上海大学上海钢铸冶金重点实验室上海

By using plug flow and trajectory model, the elimination efficiency of the inclusions from liquid metals purified by travelling magnetic field (TMF) in either a triangle or a square pipe was analyzed theoretically. The ways to improve the elimination efficiency were suggested. The results using different kinds of pipes were reciprocally compared. It is determined that by means of TMF to eliminate inclusions the efficiency is affected by the diameter of the inclusions, in which the inclusions can be removed most efficiently, is optimized.

关键词： travelling magnetic fields purification inclusion