journal6 ›› 2008, Vol. 29 ›› Issue (5): 5-9.

• 数学 • 上一篇    下一篇

Burgers方程的新解

  

  1. (湖南理工学院物理与电子信息系,湖南 岳阳 414000)
  • 出版日期:2008-09-25 发布日期:2012-05-20

New Solutions of the Burgers Equation

  1. (Department of Physics and Electric Information,Hunan Institute of Science and Technology,Yueyang 414000,Hunan China)
  • Online:2008-09-25 Published:2012-05-20
  • About author:XIE Yuan-xi(1965-),male,was born in Lengshuijiang City,Hunan Province,professor,doctor;major in nonlinear physics and mechanics.
  • Supported by:

    Supported by the National Natural Science Foundation of China (10672053)

摘要:利用一个变换,并引入一个中间函数,简洁地求得Burgers方程的许多新显式精确解,包括有理函数解、孤波解、奇异行波解和三角函数型周期波解.

关键词: 中间函数, Burgers方程, 显式精确解

Abstract: By utilizing the transformation and introducing an intermediate function,many novel explicit and exact solutions to the Burgers equation,which include the rational function solution,the solitary wave solutions,the singular traveling wave solutions and the trigonometric function periodic wave solutions,are successfully derived in a simple manner.

Key words: intermediate function, Burgers equation, explicit and exact solution

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