Speaker :
 Prof. Baofeng Feng (Univ of Texas, Pan American) 

Title :

General brightdark soliton solution to the continuous and discrete vector nonlinear Schrodinger equation 
Time :
 20140612 (Thu) 15:00  16:00 
Place : 
Lecture Hall, Inst. of Mathematics 

Abstract: 
In the present talk, we consider general brightdark soliton solution to the continuous and discrete vector nonlinear Schrodinger (NLS) equation of all possible combinations of nonlinearities including allfocusing, alldefocusing and mixed types. By using the KPhierarchy reduction method based on the Satotheory, we construct a general brightdark soliton solution expresses in term of Gramtype determinants for the continuous vector NLS equation. The conditions for the reality of this mixedtype soliton solution with all possible combinations of nonlinearities is elucidated. Regarding to the discrete vector NLS equation, we provide a general formula for brightdark soliton solution in the form of pfaans. Then we prove this pfaan solution by Hirota's bilinear method. 
