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1.
利用扩展的双曲函数展开法,对饱和离散非线性波导阵列模型离散非线性薛定谔方程进行了研究,获得了多组新的精确解析局域解,包括亮孤子解、暗孤子解,以及亮、暗复合孤子解等,并给出了这些解存在对方程系数的特殊约束关系  相似文献   

2.
基于新的2×2离散矩阵谱问题,研究广义Ablowitz-Ladik(AL)方程的守恒律和Darboux变换.首先,利用Riccati方法给出广义AL方程的无穷守恒律,并得到其显式表示;其次,借助Lax对和规范变换构造广义AL方程的Darboux变换;最后,选择恰当的种子解,给出广义AL方程的显式精确解,得到2-扭结孤子解,并分析解的动力学性质.  相似文献   

3.
从谱问题出发,导出了广义非等谱的导数非线性薛定谔方程,并利用Hirota方法给出了该方程的N-孤子解。  相似文献   

4.
利用多重尺度方法,研究了布拉格光栅中光波和声波的相互作用.将光声耦合方程组约化到标准的非线性薛定谔方程,从而由非线性薛定谔方程的解得到了原方程组的近似单孤子解和二孤子解,分析了孤子的速度和二孤子碰撞的图像.  相似文献   

5.
在非交换微分学的基础上,给出了半离散演化方程的研拓结构理论,并利用这一理论讨论了非线性薛定谔方程的一个离散模型(Ablowitz-Ladik方程).在本文中,讨论了正弦-戈登方程的一个半离散模型,并得到了它的拉克斯对.  相似文献   

6.
通过独立变量变换,给出了负向的等谱4位势Ablowitz-Ladik方程的双线性形式,借助Hirota直接方法得到该方程的N孤子解.  相似文献   

7.
薛定谔(Schroedinger)方程是量子力学的基本方程,正如其他数理方程一样,线性方程较易求解,而非线性方程则遇到很大困难。20世纪60年代由于发现KdV方程的孤子解,使一大类非线性问题得到精确解,其中包括离散和连续的非线性薛定谔方程与方程组,主要的是应用逆散射变换(IST)方法。这类方程有着重要的物理应用,  相似文献   

8.
利用拓展的Riccati方程映射法,研究一个新形式的非线性薛定谔方程,并得到一类非线性薛定谔方程的精确解析解,包括孤子解、周期波解和变量分离解.这种方法在寻找其他非线性发展方程的新精确解方面具有普遍意义.  相似文献   

9.
利用直接微扰方法求解微扰耦合非线性薛定谔方程   总被引:2,自引:0,他引:2  
将直接微扰方法应用于含时间色散项的耦合非线性薛定谔方程来获得该微扰方程的包含零阶和一阶修正的解析近似解,并借此近似解分析了微扰项对孤子的各个参数的影响.特别地,通过楼森岳的直接微扰方法能同时得到方程的各种不同形式的微扰解,包括单孤子解、双孤子解甚至N孤子解等.为了进一步检验直接微扰方法的有效性,还对微扰耦合非线性薛定谔方程进行了数值求解.结果表明,当微扰参数足够小时,解析解与数值解符合得相当好.  相似文献   

10.
最近,一类可积非局部非线性Schr?dinger(NLS)型系统被提出.利用达布变换求解非局部非线性耦合薛定谔方程(RS-NCNLS),给出在消失波和平面波背景下的N次Darboux变换.从一个特殊的Lax对出发,利用N次Darboux变换得到RS-NCNLS方程的1-孤子解、2-孤子解和N-孤子解的公式,导出了平面波...  相似文献   

11.
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.  相似文献   

12.
何延凌 《科技信息》2008,(4):258-258
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.  相似文献   

13.
王慧 《科技信息》2008,(10):240-240
Wuthering Heights, Emily Bronte's only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.  相似文献   

14.
The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.  相似文献   

15.
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。  相似文献   

16.
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.  相似文献   

17.
Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.  相似文献   

18.
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-  相似文献   

19.
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-  相似文献   

20.
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  相似文献   

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