Approximate solving method of shock for nonlinear disturbed coupled Schrdinger system  

作　　者：姚静荪 欧阳成 陈丽华 莫嘉琪 

机构地区：[1]Department of Mathematics,Anhui Normal University [2]Faculty of Science,Huzhou Teacher College [3]Department of Mathematics and Computer Science,Fuqing Branch of Fujian Normal University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第12期1583-1594,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.41175058);the "Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province of China(No.KJ2011A135);the Natural Science Foundation of Zhejiang Province of China(No.Y6110502);the Foundation of the Education Department of Fujian Province of China (No.JA10288);the Natural Science Foundation of Jiangsu Province of China(No.BK2011042)

摘　　要：A class of nonlinear disturbed coupled SchrSdinger systems is studied. The specific technique is used to relate the exact and approximate solutions. The correspond- ing typical coupled system is considered. An exact shock travelling solution is obtained by a mapping method. The travelling asymptotic solutions of the disturbed coupled SchrSdinger system are then found with an approximate method.A class of nonlinear disturbed coupled SchrSdinger systems is studied. The specific technique is used to relate the exact and approximate solutions. The correspond- ing typical coupled system is considered. An exact shock travelling solution is obtained by a mapping method. The travelling asymptotic solutions of the disturbed coupled SchrSdinger system are then found with an approximate method.

关 键 词：SchrSdinger system solitary wave asymptotic solution 

分 类 号：O175[理学—数学]