Diffractive Interaction for Short Pulses in 2×2 System  

作　　者：袁明生 

机构地区：[1]International Business School,Shanghai Institute of Foreign Trade

出　　处：《Journal of Shanghai Jiaotong university(Science)》2008年第4期499-508,共10页上海交通大学学报（英文版）

基　　金：the National Natural Science Foundation of China (No. 10131050);the Educational Ministry of China and the Shanghai Science and Technology Committee Foundation (No. 03QMH1407)

摘　　要：This paper studies the asymptotic behavior of the diffractive interaction of pulses with two linear phases of length ε ≤ 1 in 2 × 2 semilinear strictly hyperbolic system with constant coefficiients. By a formal analysis, it derives problems of profiles in the expansion of the pulse like solution with respect to the length s, and obtains that the leading profile satisfies a nonlinear Schrodinger type system. The problems of profiles are solved, and the formal expansion is justified. It is observed that there is interaction between two phases starting at the third order profiles.This paper studies the asymptotic behavior of the diffractive interaction of pulses with two linear phases of length ε 1 in 2 × 2 semilinear strictly hyperbolic system with constant coeffcients. By a formal analysis, it derives problems of profiles in the expansion of the pulse like solution with respect to the length ε, and obtains that the leading profile satisfies a nonlinear Schrdinger type system. The problems of profiles are solved, and the formal expansion is justified. It is observed that there is interaction between two phases starting at the third order profiles.

关 键 词：short pulses diffractive interaction 2 × 2 system 

分 类 号：O175.27[理学—数学]