J4 ›› 2013, Vol. 51 ›› Issue (01): 53-56.

• 数学 • 上一篇    下一篇

非线性扰动薛定谔耦合系统的冲击波解

徐惠1, 许永红2, 刘晓伟2, 温朝晖1   

  1. 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
  • 收稿日期:2012-04-05 出版日期:2013-01-26 发布日期:2013-01-31
  • 通讯作者: 徐惠 E-mail:ahcdxh@126.com

Shock Wave Solution for Nonlinear DisturbedSchrdinger Coupled System

XU Hui1, XU Yonghong2, LIU Xiaowei2, WEN Zhaohui1   

  1. 1. School of Statistics &|Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, AnhuiProvince, China;
     2. Department of Mathematics &|Physics, Bengbu College, Bengbu 233030, Anhui Province, China
  • Received:2012-04-05 Online:2013-01-26 Published:2013-01-31
  • Contact: XU Hui E-mail:ahcdxh@126.com

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.

关键词: 薛定谔系统, 冲击波, 渐近解

Abstract:

A class of the nonlinear disturbed Schrdinger coupled system was studied. With the help of  the functional mapping method and the technique to relate the exact and approximate solutions, the corresponding typical coupled system was considered. With the aid of  the variational iteration theory and approximate method, the shock wave asymptotic solutions of the disturbed Schrdinger coupled system were found. Unceasingly differential and integral operations of this approximate solution can  obtain approximations of dependent physical quantities.

Key words: Schrdinger system, solitary wave, asymptotic solution

中图分类号: 

  • O175.29