中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100302-100302.doi: 10.1088/1674-1056/19/10/100302

• GENERAL • 上一篇    下一篇

Solving (2+1)-dimensional sine-Poisson equation by a modified variable separated ordinary differential equation method

苏卡林, 谢元喜   

  1. Department of Physics and Electric Information, Hunan Institute of Science and Technology, Yueyang 414000 China
  • 收稿日期:2010-03-29 修回日期:2010-04-23 出版日期:2010-10-15 发布日期:2010-10-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10672053).

Solving (2+1)-dimensional sine-Poisson equation by a modified variable separated ordinary differential equation method

Su Ka-Lin(苏卡林) and Xie Yuan-Xi(谢元喜)   

  1. Department of Physics and Electric Information, Hunan Institute of Science and Technology, Yueyang 414000 China
  • Received:2010-03-29 Revised:2010-04-23 Online:2010-10-15 Published:2010-10-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10672053).

摘要: By introducing a more general auxiliary ordinary differential equation (ODE), a modified variable separated ordinary differential equation method is presented for solving the (2+1)-dimensional sine-Poisson equation. As a result, many explicit and exact solutions of the (2+1)-dimensional sine-Poisson equation are derived in a simple manner by this technique.

Abstract: By introducing a more general auxiliary ordinary differential equation (ODE), a modified variable separated ordinary differential equation method is presented for solving the (2+1)-dimensional sine-Poisson equation. As a result, many explicit and exact solutions of the (2+1)-dimensional sine-Poisson equation are derived in a simple manner by this technique.

Key words: modified variable separated ODE method, (2+1)-dimensional sine-Poisson equation, explicit and exact solution

中图分类号:  (Ordinary differential equations)

  • 02.30.Hq
02.30.Jr (Partial differential equations)