立方非线性Schrodinger方程的Jacobi椭圆函数周期解

本文利用F-展开法,求出了立方非线性Schrodinger方程的由Jacobi椭圆函数表示的行波解;并且在极限情况下,得到了方程的孤波解.     

立方非线性Schrdinger方程的Jacobi椭圆函数周期解

本文利用F 展开法 ,求出了立方非线性Schr dinger方程的由Jacobi椭圆函数表示的行波解 ;并且在极限情况下 ,得到了方程的孤波解     

HIGHER ORDER BURGERS EQUATION

In this paper, the Burgers equation is generalized to the (compound) higher order Burgers equation which can be reduced to the higher order linear equation in terms of the Bcklund transformation (B T) between them. Also B T of the higher order Burgers equation to itself is derived. As an application, the exact solution of an initial value problem for a third order Burgers equation is given.     

Nizhnik方程组的一个非线性变换和多重孤子解

用齐次平衡原则导出了一个非线性变换,通过该变换Nizhnik方程组化为一个齐2次方程.用Hirota方法可求出齐2 次方程的一列解.将其代入非线性变换,得Nizhnik方程组的多重孤子解.详细分析了二重孤子解.     

两类非线性方程的精确解

利用行波约化方法，并借助于一维立方非线性Klein-Gordon方程的精确解，求出了（1+1）维Zakharov方程组、变系数Korteweg-de Vries方程的一些精确解- 关键词： 行波约化方法 一维立方非线性Klein-Gordon方程 （1+1）维Zakharov方程组 变系数Korteweg-de Vries方程     

1-苯基-3-(4-硝基苯基)-5-(9-蒽基)-2-吡唑啉分子内高位共轭

通过对1 苯基 3 (4 硝基苯基) 5 (9 蒽基) 2 吡唑啉及其相关化合物的吸收光谱进行比较研究,发现该分子的吸收不同于分子内"Ar—N—N=C—Ar"发色团与蒽发色团的叠加.其中"Ar—N—N=C—Ar"发色团的吸收系数增强了12倍,存在极大的增色效应,蒽的精细吸收峰也均红移了20nm左右.说明两者存在基态下的相互作用.优势构象理论分析表明这是由于基态π电子轨道重叠的高位共轭效应引起的.该发现将有助于解释该类分子激发态下发色团间的非共轭电荷转移以及能量转移,并为寻找更大吸收系数的该类化合物提供了较好的方法.     

THE EXACT SOLITARY WAVE SOLUTIONS FOR THE KLEIN- GORDON-SCHRDINGER EQUATIONS

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｅｐｒｅｓｅｎｔｐａｐｅｒｗｅｃｏｎｓｉｄｅｒｔｈｅｃｏｕｐｌｅｄＫｌｅｉｎ＿Ｇｏｒｄｏｎ＿Ｓｃｈｒ ｄｉｎｇｅｒ (ＫＧＳ)ｅｑｕａｔｉｏｎｓａｓｆｏｌｌｏｗｓ:ｉψｔ+ 12 Δψ=-φψ ,φｔｔ-Δφ+ｍ2 φ=｜ψ｜2 .( 1 )( 2 )( 1 )ａｎｄ ( 2 )ｄｅｓｃｒｉｂｅａｃｌａｓｓｉｃａｌｍｏｄｅｌｏｆｉｎｔｅｒａｃｔｉｏｎｏｆｎｕｃｌｅｏｎｆｉｅｌｄｗｉｔｈｍｅｓｏｎｆｉｅｌｄ[1],ｗｈｅｒｅψｉｓａｃｏｍｐｌｅｘｓｃａｌａｒｎｕｃｌｅｏｎｆｉｅｌｄ ,φ＿ａｒｅａｌｍｅｓｏｎｆｉ…     

非简谐振动对SiC类石墨烯热输运性质的影响

考虑到原子的非简谐振动,应用固体物理理论和方法,计算了SiC类石墨烯的简谐系数和非简谐系数,得到它的德拜温度、热容量和热导率等随温度的变化规律,探讨了原子非简谐振动对它的热输运性质的影响.结果表明:SiC类石墨烯的德拜温度随温度的升高而在117-126 K之间线性增大,定容比热随温度升高而非线性增大,热导率随温度升高而非线性减小,温度较低时变化较快,而温度较高时变化较慢,并随着温度升高而趋于常量;考虑到非简谐振动后,SiC类石墨烯的德拜温度、定容比热和热导率的值分别大于、小于和大于简谐近似的相应值,温度愈高,其差值愈大,即温度愈高,非简谐效应的影响愈显著;二维平面状的SiC类石墨烯的定容比热和热导率随温度的变化规律,与三维块状SiC晶体总体趋势相同,只是具体数值不同.     

Synthesis,Crystal Structures,Hirshfeld Surfaces,Thermo Characteristics and Solubility of Co-crystal of Buprofezin with Hydrofluoric Acid

A new kind of co-crystal of buprofezin(C(16)H(24)FN3OS) with hydrofluoric acid has been prepared through evaporation technique. It crystallizes in the triclinic space group P1, with a = 9.9733(8), b = 10.3460(9), c = 10.5739(12) ?, a = 68.655(9), b = 73.291(9), g = 66.738(8)o, V = 920.34(17) ?~3, Mr = 325.44, Dc = 1.174 g/cm^3, Z = 2, F(000) = 348, m = 0.190 mm^-1, the final GOOF = 1.042, R = 0.0485 and wR = 0.1167. Single-crystal X-ray diffraction, XRPD, DSC, TGA, Hirshfeld surface analysis, Raman spectroscopy and FT-IR were used to characterize the co-crystal. It has a twodimensional plane structure, and the intermolecular interactions of co-crystal are mainly H–F×××H, H–O×××H and H–O×××H. Thermology study further confirmed that co-crystal has stronger thermal stability and higher melting point than buprofezin, and it has stronger water solubility. The results show that this co-crystal is valuable for the study of residual activity and application effects of buprofezin.     

YBa2Cu3O7-δ超导体的物相及相变

本文利用原子集团变分方法,同时引入YBa₂Cu₃O_7-δ超导体Cu一0平面上O—O,O—□和□—□之间的近邻和次近邻相互作用的J,J′,取J′/J=0,±1/4,1/2和1几种值进行计算,给出了相应情况下的相图。理论计算指出,当J′/J=1/4时,其相图所给出的相变情况与目前YBa₂Cu₃O_7-δ超导体中的正交-四方相变一致;并讨论了低温下可能存在的几种相及其相变。