Recently, the Clarkson and Kruskal direct method has been modified to find new similarity reductions (conditional similarity reductions) of nonlinear systems and the results obtained by the modified direct method cann...Recently, the Clarkson and Kruskal direct method has been modified to find new similarity reductions (conditional similarity reductions) of nonlinear systems and the results obtained by the modified direct method cannot be obtained by the current classical and/or non-classical Lie group approach. In this paper, we show that the conditional similarity reductions of the Jimbo-Miwa equation can be reobtained by adding an additional constraint equation to the original model to form a conditional equation system first and then solving the model system by means of the classical Lie group approach.展开更多
This research is intended as a practical guide on how to custom-tailor post-disaster housing approaches to suit the countries in which they are implemented.Three classical approaches are chosen,discussed and analytica...This research is intended as a practical guide on how to custom-tailor post-disaster housing approaches to suit the countries in which they are implemented.Three classical approaches are chosen,discussed and analytically compared in order to unveil the shortcomings of their implementation in a country such as Egypt which is faced by technological,economic and time-related challenges in our current time.Strategies are synthesized to in order to overcome these challenges and enhance the prospect of implementing the approaches in the country.Finally,the research presents a series of recommendations which can guide the implementation of the strategically enhanced approaches while bearing reference to real-life challenges and opportunities.展开更多
In the presented work, we consider applications of non-classical equations and their approaches to the solution of some classes of equations that arise in the Kelvin-Helmholtz Mechanism (KHM) and instability. In all a...In the presented work, we consider applications of non-classical equations and their approaches to the solution of some classes of equations that arise in the Kelvin-Helmholtz Mechanism (KHM) and instability. In all areas where the Kelvin-Helmholtz instability (KHI) problem is investigated with the corresponding data unchanged, the solution can be taken directly in a specific form (for example, to determine the horizontal structure of a perturbation in a barotropic rotational flow, which is a boundary condition taken, as well as other types of Kelvin-Helmholtz instability problems). In another example, the shear flow along the magnetic field in the Z direction, which is the width of the contact layer between fast and slow flows, has a velocity gradient along the X axis with wind shear. The most difficult problems arise when the above unmentioned equation has singularities simultaneously at points and in this case, our results also remain valid. In the case of linear wave analysis of Kelvin-Helmholtz instability (KHI) at a tangential discontinuity (TD) of ideal magneto-hydro-dynamic (MHD) plasma, it can be attributed to the presented class, and in this case, as far as we know, solutions for eigen modes of instability KH in MHD plasma that satisfy suitable homogeneous boundary conditions. Based on the above mentioned area of application for degenerating ordinary differential equations in this work, the method of functional analysis in order to prove the generalized solution is used. The investigated equation covers a class of a number of difficult-to-solve problems, namely, generalized solutions are found for classes of problems that have analytical and mathematical descriptions. With the aid of lemmas and theorems, the existence and uniqueness of generalized solutions in the weight space are proved, and then general and particular exact solutions are found for the considered problems that are expressed analytically explicitly. Obtained our results may be used for all the difficult-to-solve processes of KHM and instabilities and instabilities, which cover widely studied areas like galaxies, Kelvin-Helmholtz instability in the atmospheres of planets, oceans, clouds and moons, for example, during the formation of the Earth or the Red Spot on Jupiter, as well as in the atmospheres of the Sun and other stars. In this paper, also, a fairly common class of equations and examples are indicated that can be used directly to enter data for the use of the studied suitable tasks.展开更多
As an important aspect of fiction or narrative in general,characterization has long been a popular object for scholarly enquiries in literary studies. However,the well-known distinction into direct and indirect charac...As an important aspect of fiction or narrative in general,characterization has long been a popular object for scholarly enquiries in literary studies. However,the well-known distinction into direct and indirect characterizations discursively formulated in Western literary theory may not be capable of accommodating various forms of characterization in other literatures and cultures. This article sets out to summarize and discuss the distinctive approaches to characterization in classical Chinese fiction in the triple purpose of complementing the binary distinction in the West,introducing the indigenous Chinese literary theory to Western readers,and facilitating their reading and understanding of Chinese fiction.展开更多
基金国家杰出青年科学基金，the Research Fund for the Doctoral Program of Higher Education of China
文摘Recently, the Clarkson and Kruskal direct method has been modified to find new similarity reductions (conditional similarity reductions) of nonlinear systems and the results obtained by the modified direct method cannot be obtained by the current classical and/or non-classical Lie group approach. In this paper, we show that the conditional similarity reductions of the Jimbo-Miwa equation can be reobtained by adding an additional constraint equation to the original model to form a conditional equation system first and then solving the model system by means of the classical Lie group approach.
文摘This research is intended as a practical guide on how to custom-tailor post-disaster housing approaches to suit the countries in which they are implemented.Three classical approaches are chosen,discussed and analytically compared in order to unveil the shortcomings of their implementation in a country such as Egypt which is faced by technological,economic and time-related challenges in our current time.Strategies are synthesized to in order to overcome these challenges and enhance the prospect of implementing the approaches in the country.Finally,the research presents a series of recommendations which can guide the implementation of the strategically enhanced approaches while bearing reference to real-life challenges and opportunities.
文摘In the presented work, we consider applications of non-classical equations and their approaches to the solution of some classes of equations that arise in the Kelvin-Helmholtz Mechanism (KHM) and instability. In all areas where the Kelvin-Helmholtz instability (KHI) problem is investigated with the corresponding data unchanged, the solution can be taken directly in a specific form (for example, to determine the horizontal structure of a perturbation in a barotropic rotational flow, which is a boundary condition taken, as well as other types of Kelvin-Helmholtz instability problems). In another example, the shear flow along the magnetic field in the Z direction, which is the width of the contact layer between fast and slow flows, has a velocity gradient along the X axis with wind shear. The most difficult problems arise when the above unmentioned equation has singularities simultaneously at points and in this case, our results also remain valid. In the case of linear wave analysis of Kelvin-Helmholtz instability (KHI) at a tangential discontinuity (TD) of ideal magneto-hydro-dynamic (MHD) plasma, it can be attributed to the presented class, and in this case, as far as we know, solutions for eigen modes of instability KH in MHD plasma that satisfy suitable homogeneous boundary conditions. Based on the above mentioned area of application for degenerating ordinary differential equations in this work, the method of functional analysis in order to prove the generalized solution is used. The investigated equation covers a class of a number of difficult-to-solve problems, namely, generalized solutions are found for classes of problems that have analytical and mathematical descriptions. With the aid of lemmas and theorems, the existence and uniqueness of generalized solutions in the weight space are proved, and then general and particular exact solutions are found for the considered problems that are expressed analytically explicitly. Obtained our results may be used for all the difficult-to-solve processes of KHM and instabilities and instabilities, which cover widely studied areas like galaxies, Kelvin-Helmholtz instability in the atmospheres of planets, oceans, clouds and moons, for example, during the formation of the Earth or the Red Spot on Jupiter, as well as in the atmospheres of the Sun and other stars. In this paper, also, a fairly common class of equations and examples are indicated that can be used directly to enter data for the use of the studied suitable tasks.
文摘As an important aspect of fiction or narrative in general,characterization has long been a popular object for scholarly enquiries in literary studies. However,the well-known distinction into direct and indirect characterizations discursively formulated in Western literary theory may not be capable of accommodating various forms of characterization in other literatures and cultures. This article sets out to summarize and discuss the distinctive approaches to characterization in classical Chinese fiction in the triple purpose of complementing the binary distinction in the West,introducing the indigenous Chinese literary theory to Western readers,and facilitating their reading and understanding of Chinese fiction.
