非线性扰动薛定谔耦合系统的冲击波解  

Shock Wave Solution for Nonlinear Disturbed Schrdinger Coupled System

作　　者：徐惠[1] 许永红[2] 刘晓伟[2] 温朝晖[1] 

机构地区：[1]安徽财经大学统计与应用数学学院,安徽蚌埠233030 [2]蚌埠学院数理系,安徽蚌埠233030

出　　处：《吉林大学学报（理学版）》2013年第1期53-56,共4页Journal of Jilin University:Science Edition

基　　金：安徽省高校自然科学研究项目(批准号:KJ2012Z245;KJ2012B002;KJ2012A001);安徽省青年科学基金(批准号:1208085QA11)

摘　　要：研究一类非线性扰动薛定谔耦合系统.利用泛函映射方法及精确解与近似解相关联的技巧,讨论对应典型的耦合系统.利用变分迭代原理和近似方法得到了扰动薛定谔耦合系统的冲击波渐近解,并得到相关物理量的近似式.A class of the nonlinear disturbed SchrOdinger cou the functional mapping method and the technique to relate corresponding typical coupled system was considered. With and approximate method, the shock wave asymptotic solut pied system was studied. With the help of ions exact and approximate solutions, the aid of the variational iteration theory of the disturbed SchrOdinger coupled system were found. Unceasingly differential and integral operations of this approximate solution can obtain approximations of dependent physical quantities.

关 键 词：薛定谔系统 冲击波 渐近解 

分 类 号：O175.29[理学—数学] O413[理学—基础数学]