Complex solutions and novel complex wave localized excitations for the(2+1)-dimensional Boiti-Leon-Pempinelli system

With the help of the symbolic computation system Maple, the Riccati equation mapping approach and a linear variable separation approach, a new family of complex solutions for the （2＋ 1）-dimensional Boiti-Leon-Pempinelli system （BLP） is derived. Based on the derived solitary wave solution, some novel complex wave localized excitations are obtained.

New Complex Solutions of the Coupled KdV Equations

In this paper,new infinite sequence complex solutions of the coupled Kd V equations are constructed with the help of function transformation and the second kind of elliptic equation.First of all,according to the function transformation,the coupled Kd V equations are changed into the second kind of elliptic equation.Secondly,the new solutions and Bäcklund transformation of the second kind of elliptic equation are applied to search for new infinite sequence complex solutions of the coupled Kd V equations.These solutions include new infinite sequence complex solutions composed by Jacobi elliptic function,hyperbolic function and triangular function.

Complex variable solution for boundary value problem with X-shaped cavity in plane elasticity and its application*

A new type of displacement pile, the X-section cast-in-place concrete （XCC） pile, has recently been developed in China. Extensive field tests and laboratory experi- ments are undertaken to evaluate its performance and quantify the non-uniform deforma- tion effect （NUDE） of the X-shaped cross section during installation. This paper develops a simplified theoretical model that attempts to capture the NUDE. Based on the theory of complex variable plane elasticity, closed-form solutions of the stress and displacement for the X-shaped cavity boundary value problem are given. Subsequently, the analytical solution is used to evaluate the NUDE, the concrete filling index （CFI）, and the perimeter reduction coefficient of the XCC pile cross section. The computed results are compared with field test results, showing reasonable agreement. The present simplified theoretical model reveals the deformation mechanism of the X-shaped cavity and facilitates applica- tion of the newly developed XCC pile technique in geotechnical engineering.

TERNARY Cu(Ⅱ)(ATP)AND HETEROAROMATIC N BASE COMPLEXES IN SOLUTION:STABILITY CONSTANTS AND ANTITUMOR MECHANISM EXPLORATION

The stability of the complexes of four pyridine-like ligands with Cu(ATP)^(2-) was studied and by comparing the stability constants of the ternary complexes[Cu(ATP)L]^(2-) with those of the binary complexes[CuL]^(2+),a stacking interaction between the pyridine ring and the purine ring of ATP is indicated.It is possible to interpret the antitumor mechanism of[Pt(NH_3)_8 (N-het)Cl]Cl in terms of this stacking interaction.

COMPLEX VARIABLE-VARIATIONALMETHOD OF SOLUTION FOR BI-METALLAMINATES WITH INTERFACE CRACKSAND ITS APPLICATION IN GLUED JOINTS

In this paper, the eigen function expansions of displacements and stresses of bi-metal laminates with interface cracks are obtained. Furthermore, the stress intensity factors are determined by the variational method to satisfy the boundary conditions and there are only line integrals in the variational equations due to the previous satisfaction of all basic equations. The computations show that this method of solution has the advantages of rapid convergency and time-saving. The results obtained by this method for homogeneous material agree with the known ones very well.

Effects of Complexes and pH Buffer Solution in Electrokinetic Oxidation Treatment on Sediments Chromium Removal

Three electrokinetic（EK） experiments were designed to study the remediation efficiency of Cr（Ⅲ） by EK-oxidation method and to investigate the influence of complexes and p H buffer solution in EK-oxidation process. Sediments Cr（Ⅲ） can be oxidized into Cr（Ⅵ） effectively by KMn O4, but the oxidation efficiency is not proportional to the dose of oxidant, and chemical oxidation process leads to a bit lower buffering capacity of the sediment. Compared with the simple EK remediation, the removal efficiency of total Cr in the sediments increased 32.6% by EK-oxidation method, and the concentrations of total chromium in the sediment showed increasing trend from the cathode to the anode after EK-oxidation treatment. The p H control and KMn O4 improved the removal of Cr（Ⅵ） and total Cr from the sediments. Due to stronger complexation action of citric acid with Cr（Ⅲ） in sediments, citric acid in the catholyte obviously increased the removal rate of total Cr in sediments. Finally, the removal rate of total Cr from sediments reached 60.9% by adding complex and controlling the p H of cathode and anode pond solution on EK-oxidation processes.

Multinuclear NMR study of lanthanide(Ⅲ)complexes of 1,2-PDTA in aqueous solution

The complexation oflanthanide(Ⅲ) cations with 1,2-propanediaminetetraacetate (1,2-PDTA) in aqueous solution has been investigated by ^(23)Na,^(35)Cl,~2H and ^(17)O NMR shift measurements.It has been shown that the contact shifts are dominant for ^(17)O,^(35)Cl and ~2H (only for the heavier lanthanide series) and the pseudocontact shifts are dominant for ^(23)Na.It is suggested that the 1,2-PDTA ligand is bound pentadentately via the two nitrogens and the three carboxylates for the lighter lanthanide complexes,hexdentately via the two nitrogens and the four carboxylates for the heavier ones.The numbers of the water coordinated were determined.The small amount of chloride anion in inner coordination sphere was observed.

Novel hybrids of Cu^(2+) ternary complexes of salicylidene-amino acid Schiff base with phenanthroline(or bipyridine) intercalated in Mg/Al-NO_3-layered double hydroxide

Four Cu2＋ complexes of salicylidene-amino acid Schiff base with 1,10-phenanthroline （Phen） or 2,2＇- bipyridine （Bipy） were successfully intercalated in interlayer galleries of Mg/AI-NO3-1ayered double hydroxide （LDH） by the swelling-restored method. The hybrids were characterized by elemental analysis, X-ray diffraction, FT-IR spectra, UV-vis DRS, TG-DTA and SEM observation. Good protection of the complexes by LDH in neutral and weak acidic solutions was revealed by UV spectra, cyclic voltammograms and luminescence spectra.

Analyzing study for the 3D potential Yu-Toda-Sasa-Fukuyama equation in the two-layer liquid medium

In this work,we use the(m+1/G')-expansion method and the Adomian decomposition method to study the 3D potential Yu-Toda-Sasa-Fukuyama(3D-pYTSF)equation which has a good application in the twolayer liquid medium.For the first time,the(m+1/G')-expansion and the Adomian decomposition methods are used to establish novel exact wave solutions and to study some numerical solutions for the 3D-pYTSF equation,respectively.Through using the analytical method,kink-type wave,singular solution and some complex solutions to the suggested equation are successfully revealed.The obtained wave solutions are represented with some figures in 3D and contour plots.

New-Type Urbanization and the Development of the Sciences of Human Settlements in China

As urbanization is an evolutionary process of the open giant system of complex spaces,solutions should be sought based on the scientifi c method of "limited solutions to complex problems." Firstly,as people are the core of human settlements,urbanization should show its care for humans and thus for human settlements; secondly,a human settlement civilization should be cultivated on the basis of ecological civilization; thirdly,rural development should be promoted in units of county,in order to coordinate the urban-rural development; fourthly,it should encourage the decision-makers and think tanks to improve the management mechanism. As transformation becomes the general trend of this era,we need also to understand the Sciences of Human Settlements from the perspective of scientifi c transformation,which is expected to break new grounds in the Sciences of Human Settlements.

Mechanical responses of multi-layered ground due to shallow tunneling with arbitrary ground surface load

An analytical model based on complex variable theory is proposed to investigate ground responses due to shallow tunneling in multi-layered ground with an arbitrary ground surface load.The ground layers are assumed to be linear-elastic with full-stick contact between them.To solve the proposed multi-boundary problem,a series of analytic functions is introduced to accurately express the stresses and displacements contributed by different boundaries.Based on the principle of linear-elastic superposition,the multi-boundary problem is converted into a superposition of multiple single-boundary problems.The conformal mappings of different boundaries are independent of each other,which allows the stress and displacement fields to be obtained by the sum of components from each boundary.The analytical results are validated based on numerical and in situ monitoring results.The present model is superior to the classical model for analyzing ground responses of shallow tunneling in multi-layered ground;thus,it can be used with assurance to estimate the ground movement and surface building safety of shallow tunnel constructions beneath surface buildings.Moreover,the solution for the ground stress distribution can be used to estimate the safety of a single-layer composite ground.