一种广义的(G′/G)-展开法及其应用(英文)

提出了一种广义的(G′/G)-展开法,利用该方法可以得到非线性发展方程的更多不同种类的精确行波解.利用广义的(G′/G)-展开法得到了耦合KdV方程和广义KdV-mKdV组合方程的行波解.     

求非线性发展方程行波解的(G′/G)展开法

利用齐次平衡法和(G′/G)展开法, 借助于Matlab数学软件, 获得了非线性KdV mKdV方程及Zhiber Shabat方程的精确行波解. 结果表明, 与其他方法相比, (G′/G)展开法求解非线性方程行波解更简明、 有效.     

组合KDV方程的精确解

利用(G’/G)展开法求解了组合KdV方程,得到了组合KdV方程的精确行波解。由于此方法中的G为某个一阶常系数线性ODE的通解,故方法具有直接、简洁的优点;更重要的是,这种方法可用于求得其它许多非线性演化方程的行波解。     

耦合KdV型方程有界行波解的存在性及其显式表达式

利用平面动力系统理论对非线性耦合KdV型方程的行波解进行定性分析,给出耦合方程所对应的平面动力系统在不同参数条件下的相图和有界行波解存在的条件.得出耦合方程只可能存在钟状孤波解和周期解,并利用改进的(G′/G)方法求出了方程4个有界行波解的显式表达式.     

6阶KdV方程的精确解

借助于6阶KdV方程的分解式,运用最近提出的(G’/G)-展开法获得了6阶KdV方程的行波解,分别以含两个任意参数的双曲函数、三角函数及有理函数表示,并运用变换方程方法得到了该6阶KdV方程的多孤子解。结合解的图形对所获得的2-孤子解做了细致的分析,讨论了两个孤波的相互作用。     

一种广义的(G'/G)-展开法及其应用

提出了一种广义的(G'/G)-展开法,利用该方法可以得到非线性发展方程的更多不同种类的精确行波解.利用广义的(G'/G)-展开法得到了耦合KdV方程和广义KdV-mKdV组合方程的行波解.

Abstract：

A generalization of the (G'/G)- expansion method is proposed which results more different types of exact travelling wave solutions to nonlinear evolution equations.As applications, the exact travelling wave solutions to the coupled KdV equation and the generalized compound KdV-mKdV equation are obtained by using the generalized method.     

G′/G-展开法的推广及其应用

把G′/G-展开法推广到G满足椭圆方程与Riccati方程的一般情形而给出构造非线性方程精确行波解的新方法并以KdV方程为例实现了该方法.该方法还可用来求解其它的非线性方程.     

非线性KdV-Burgers-Kuramoto方程新的行波解

用双曲正切函数∑i=-ntanhi(ζ)展开法,得到了非线性KdV-Burgers-Kuramoto方程:ut uux αuxx βuxxx γuxxxx=0的36组行波解.KdV方程、KdV-Burgers方程和KS-KdV方程等的孤波解和行波解可作为特例类推得到.     

两类变系数KdV方程的显示精确解

将(G'/G)-展开法扩展并应用到构造变系数非线性发展方程的显示精确解,发展了(G;/G)-展开法,并用该方法获得了第一类变系数KdV方程和第二类变系数KdV方程的丰富显示精确解,分别以含两个任意参数的双曲函数、三角函数及有理函数解表示.     

幂级数形变映射法求5阶KdV方程的精确解

文章寻找复杂非线性5阶KdV方程的行波解和简单非线性KdV方程的行波解之间的形变关系。复杂非线性5阶KdV方程的行波解和相对应的简单线性方程的行波解之间类似的关系也得到了讨论。计算结果表明,幂级数形变映射法十分有效,它形成了非线性复杂方程的求解新途径。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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