By using the homogeneous balance principle(HBP), we derive a Backtund transformation(BT) to the generalized dispersive long wave equation with variable coefficients.Based on the BT, we give many kinds of the exact...By using the homogeneous balance principle(HBP), we derive a Backtund transformation(BT) to the generalized dispersive long wave equation with variable coefficients.Based on the BT, we give many kinds of the exact solutions of the equation, such as, singlesolitary solutions, multi-soliton solutions and generalized exact solutions.展开更多
The electro-optic properties of a poled second-order nonlinear optical maleimide polymer system were reported.This polymer was synthesized by doping disperse red 1 moieties into the maleimide system as the side chains...The electro-optic properties of a poled second-order nonlinear optical maleimide polymer system were reported.This polymer was synthesized by doping disperse red 1 moieties into the maleimide system as the side chains.Its glass transition temperature was measured to be 202 ℃ by Differential Scanning Calorimetry (DSC) technology.After being poled,the measured electro-optic coefficient of PHSD at the wavelength of 1 550 nm is as large as 3.03 pm/v.Except for an initial decay after being poled,PHSD exhibits little electro-optic relaxation in a long term and its electro-optic coefficient remains about 2.46 pm/v after 15 days.展开更多
New exact quasi-periodic and non-periodic solutions for the (2+ 1)-dimensional nonlinear systems are studied by means of the multi-linear variable separation approach (MLVSA) and the Jacobi elliptic functions wit...New exact quasi-periodic and non-periodic solutions for the (2+ 1)-dimensional nonlinear systems are studied by means of the multi-linear variable separation approach (MLVSA) and the Jacobi elliptic functions with the space-time-dependent modulus. Though the result is valid for all the MLVSA solvable models, it is explicitly shown for the long-wave and short-wave interaction model.展开更多
With the aid of symbolic computation system Maple, some families of new rational variable separation solutions of the (2+1)-dimensional dispersive long wave equations are constructed by means of a function transfor...With the aid of symbolic computation system Maple, some families of new rational variable separation solutions of the (2+1)-dimensional dispersive long wave equations are constructed by means of a function transformation, improved mapping approach, and variable separation approach, among which there are rational solitary wave solutions, periodic wave solutions and rational wave solutions.展开更多
The current paper introduces an empirical method for estimating the vertical distribution of background stratospheric aerosol extinction profiles covering the latitude bands of 50±5°N,40±5°N,30...The current paper introduces an empirical method for estimating the vertical distribution of background stratospheric aerosol extinction profiles covering the latitude bands of 50±5°N,40±5°N,30±5°N,and 20±5°N and the longitude range of 75 135°E based on Stratospheric Aerosol and Gas Experiment (SAGE) II aerosol extinction measurements at wavelengths of 1020 nm,525 nm,452 nm,and 386 nm for the volcanically calm years between 1998 2004.With this method,the vertical distribution of stratospheric aerosol extinction coefficients can be estimated according to latitude and wavelength.Comparisons of the empirically calculated aerosol extinction profiles and the SAGE II aerosol measurements show that the empirically calculated aerosol extinction coefficients are consistent with SAGE II values,with relative differences within 10% from 2 km above the tropopause to 33 km,and within 22% from 33 km to 35 km.The empirically calculated aerosol stratospheric optical depths (vertically integrated aerosol extinction coefficient) at the four wavelengths are also consistent with the corresponding SAGE II optical depth measurements,with differences within 2.2% in the altitude range from 2 km above the tropopause to 35 km.展开更多
基金Supported by the Natural Science Foundation of Education Committee of Henan Province(2003110003)
文摘By using the homogeneous balance principle(HBP), we derive a Backtund transformation(BT) to the generalized dispersive long wave equation with variable coefficients.Based on the BT, we give many kinds of the exact solutions of the equation, such as, singlesolitary solutions, multi-soliton solutions and generalized exact solutions.
基金This work is partially supported by National Natural ScienceFoundation of China ( Grant No:60377013 ,60507013) WHUT Foundation(XJJ2005175) .
文摘The electro-optic properties of a poled second-order nonlinear optical maleimide polymer system were reported.This polymer was synthesized by doping disperse red 1 moieties into the maleimide system as the side chains.Its glass transition temperature was measured to be 202 ℃ by Differential Scanning Calorimetry (DSC) technology.After being poled,the measured electro-optic coefficient of PHSD at the wavelength of 1 550 nm is as large as 3.03 pm/v.Except for an initial decay after being poled,PHSD exhibits little electro-optic relaxation in a long term and its electro-optic coefficient remains about 2.46 pm/v after 15 days.
基金The project supported by National Natural Science Foundation of China under Grant Nos. 90203001 and 10475055 Acknowledgment The authors are indebt to the discussions with Dr H.C. Hu
文摘New exact quasi-periodic and non-periodic solutions for the (2+ 1)-dimensional nonlinear systems are studied by means of the multi-linear variable separation approach (MLVSA) and the Jacobi elliptic functions with the space-time-dependent modulus. Though the result is valid for all the MLVSA solvable models, it is explicitly shown for the long-wave and short-wave interaction model.
基金supported by the Scientific Research Foundation of Beijing Information Science and Technology UniversityScientific Creative Platform Foundation of Beijing Municipal Commission of Education
文摘With the aid of symbolic computation system Maple, some families of new rational variable separation solutions of the (2+1)-dimensional dispersive long wave equations are constructed by means of a function transformation, improved mapping approach, and variable separation approach, among which there are rational solitary wave solutions, periodic wave solutions and rational wave solutions.
基金supported by the National Basic Research Program of China(Grant No.2011CB403401)the National Natural Science Foundation of China(Grant No.40875084)
文摘The current paper introduces an empirical method for estimating the vertical distribution of background stratospheric aerosol extinction profiles covering the latitude bands of 50±5°N,40±5°N,30±5°N,and 20±5°N and the longitude range of 75 135°E based on Stratospheric Aerosol and Gas Experiment (SAGE) II aerosol extinction measurements at wavelengths of 1020 nm,525 nm,452 nm,and 386 nm for the volcanically calm years between 1998 2004.With this method,the vertical distribution of stratospheric aerosol extinction coefficients can be estimated according to latitude and wavelength.Comparisons of the empirically calculated aerosol extinction profiles and the SAGE II aerosol measurements show that the empirically calculated aerosol extinction coefficients are consistent with SAGE II values,with relative differences within 10% from 2 km above the tropopause to 33 km,and within 22% from 33 km to 35 km.The empirically calculated aerosol stratospheric optical depths (vertically integrated aerosol extinction coefficient) at the four wavelengths are also consistent with the corresponding SAGE II optical depth measurements,with differences within 2.2% in the altitude range from 2 km above the tropopause to 35 km.