An integrable （2＋1）-dimensional coupled mKdV equation is decomposed into two （1 ＋1）-dimensional soliton systems, which is produced from the compatible condition of three spectral problems. With the help of decom...An integrable （2＋1）-dimensional coupled mKdV equation is decomposed into two （1 ＋1）-dimensional soliton systems, which is produced from the compatible condition of three spectral problems. With the help of decomposition and the Darboux transformation of two （1＋1）-dimensional soliton systems, some interesting explicit solutions of these soliton equations are obtained.展开更多
This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensional PT-symmetric coupled quintic potential in its most general form. Employing wavefunction ansatz method, general an...This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensional PT-symmetric coupled quintic potential in its most general form. Employing wavefunction ansatz method, general analytic expressions for eigenvalues and eigenfunctions for first four states are obtained. Solutions of a particular case are also presented.展开更多
The present paper analyzes historically the relationship between carbon emission and economic development by different stages through adopting elastic decoupling methods and Tapio evaluation criteria along with a comp...The present paper analyzes historically the relationship between carbon emission and economic development by different stages through adopting elastic decoupling methods and Tapio evaluation criteria along with a comparison with the national Five Year Plans. The analysis shows that the influencing factors to the relationship between carbon emission and economy in China are different, and economic development and carbon emission have less connection in the recent 30 years of reform and opening-up in China. It is a difficult task to realize the promise that we will reduce carbon emission by 40%-50% in 2020 based on the data from historical experience and different expectations for economic development from economists. Through constructing the calcula- tion model of carbon emission intensity gap according to different development scenarios, the analysis shows that economic growth, infrastructure investment and further development of industrial-ization are the main drivers to the increase of carbon emission, technological progress, and particularly, the reduction of energy consumption is the primary means to reduce carbon emission in China. It is imperative to transform the economic growth pattern, and it is a grand task to perform and there is a long way to go for China to maintain economic growth and reduce carbon intensity.展开更多
基金the Special Funds for Major State Basic Research Project of China under No.G2000077301
文摘An integrable （2＋1）-dimensional coupled mKdV equation is decomposed into two （1 ＋1）-dimensional soliton systems, which is produced from the compatible condition of three spectral problems. With the help of decomposition and the Darboux transformation of two （1＋1）-dimensional soliton systems, some interesting explicit solutions of these soliton equations are obtained.
文摘This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensional PT-symmetric coupled quintic potential in its most general form. Employing wavefunction ansatz method, general analytic expressions for eigenvalues and eigenfunctions for first four states are obtained. Solutions of a particular case are also presented.
文摘The present paper analyzes historically the relationship between carbon emission and economic development by different stages through adopting elastic decoupling methods and Tapio evaluation criteria along with a comparison with the national Five Year Plans. The analysis shows that the influencing factors to the relationship between carbon emission and economy in China are different, and economic development and carbon emission have less connection in the recent 30 years of reform and opening-up in China. It is a difficult task to realize the promise that we will reduce carbon emission by 40%-50% in 2020 based on the data from historical experience and different expectations for economic development from economists. Through constructing the calcula- tion model of carbon emission intensity gap according to different development scenarios, the analysis shows that economic growth, infrastructure investment and further development of industrial-ization are the main drivers to the increase of carbon emission, technological progress, and particularly, the reduction of energy consumption is the primary means to reduce carbon emission in China. It is imperative to transform the economic growth pattern, and it is a grand task to perform and there is a long way to go for China to maintain economic growth and reduce carbon intensity.
