sine-Gordon型方程的无穷序列新精确解

为了获得sine-Gordon型方程的无穷序列精确解,给出三角函数型辅助方程和双曲函数型辅助方程及其Bäcklund变换和解的非线性叠加公式,借助符号计算系统Mathematica,构造了sine-Gordon方程、mKdV-sine-Gordon方程、(n+1)维双sine-Gordon方程和sinh-Gordon方程的无穷序列新精确解.其中包括无穷序列三角函数解、无穷序列双曲函数解、无穷序列Jacobi椭圆函数解和无穷序列复合型解. 关键词： sine-Gordon型方程 解的非线性叠加公式 辅助方程 无穷序列精确解     

几种广义非线性发展方程的新解

本文研究了构造了广义Kd V方程和广义KP-Burgers方程等几种广义非线性发展方程的新解的问题.利用三种辅助方程及其新解,获得了广义Kd V方程和广义KP-Burgers方程等几种广义非线性发展方程的新解.这些解由双曲余割函数、双曲正切函数、双曲正割函数、双曲余切函数和余割函数组成.     

High－Power Blue Light Generation by External Frequency Doubling of an Optical Parametric Oscillator ＊

We report on an all-solid-state high-power quasi-continuous blue light source by the frequency doubling of asignal wave from an optical parametric oscillator (OPO). A 50-mm-long LiB305 (LBO) crystal is used for theOPO, which is pumped by a diode-pumped Nd:YAG green laser (1OkHz, 50ns). Tunable blue emission in a newnonlinear crystal BiB306 (BiBO) is obtained with a wavelength range from 450 to 495 nm. The average power ofthe signal output is as high as 9.3 W from 924 to 970nm. The maximum output of the blue laser with the secondharmonic walk-off compensation is 1.3W average power at 470nm for 6.2W of OPO signal light at 940nm.     

Study on welded seam recognition using circular laser vision sensor

A novel visual robotic arc welding system based on circular laser vision sensor is developed.After image de-noising,image segmentation,and image thinning,the relation of depth value of workpiece and off-axis angleγ,three-dimensional(3D)calculation,and seam tracking experiments are carried out.Finally,the error for seam tracking system is analyzed.The results show that 1)3D information can be obtained using the proposed visual robotic arc welding system and the real-time seam tracking is realized;2)the seam tracking error is small enough for gas tungsten arc welding(GTAW)process,and this system can be used for seam location and seam tracking or seam finder.     

Degasperis-Procesi方程的类孤子新解

利用辅助方程与函数变换相结合的方法,构造了Degasperis-Procesi(D-P)方程的无穷序列类孤子新解.首先,通过两种函数变换,把D-P方程化为常微分方程组.然后,利用常微分方程组的首次积分,把D-P方程的求解问题化为几种常微分方程的求解问题.最后,利用几种常微分方程的Bcklund变换等相关结论,构造了D-P方程的无穷序列类孤子新解.这里包括由Riemannθ函数、Jacobi椭圆函数、双曲函数、三角函数和有理函数组成的无穷序列光滑孤立子解、尖峰孤立子解和紧孤立子解.     

具任意次非线性项的Camassa-Holm方程的双孤子新解

给出辅助方程、函数变换与变量分离解相结合的方法,构造了具任意次非线性项的Camassa-Holm方程的双孤子和双周期新解.首先,通过两个辅助方程、函数变换与变量分离解,将具任意次非线性项的Camassa-Holm方程的求解问题转化为非线性代数方程的求解问题.然后,借助符号计算系统Mathematica求出该方程组的解,并用辅助方程的相关结论,构造了双周期解和双孤子新解.     

Al2O3性质对加氢脱硫催化剂Co-Mo/Al2O3活性相形成的影响

以两种商用Al2O3为载体,制备了汽油选择性加氢脱硫催化剂Co-Mo/Al2O3,并采用红外光谱、X射线衍射、N2吸附-脱附、透射电镜、扫描透射-能谱和X射线光电子能谱等手段系统研究了载体物化性质对催化剂活性相形成的影响.结果表明,表面羟基数量少和结晶程度高的载体与活性金属间相互作用减弱,促进了Mo物种的硫化还原,使MoS2片晶的尺寸和层数增加,且其硫化态催化剂上CoMoS活性位更多,CoMoS/MoS2比更大,因而显著提高了相应Co-Mo催化剂加氢脱硫活性和选择性.     

常系数耦合mKdV方程的复合型新解

利用一种函数变换与第一种椭圆方程相结合的方法,构造了常系数耦合mKdV方程的由Riemann θ函数、Jacobi椭圆函数、双曲函数和三角函数两两组合的双孤子解、双周期解以及孤子解与周期解组合的无穷序列复合型新解.