具外力项变系数Burgers方程和Witham-Broer-Kaup方程新的显式精确解  

New Explicit and Exact Solutions to the Variable Coefficient Burgers Equation with Forced Term outside and Witham-Broer-Kaup Equation

作　　者：洪宝剑[1] 卢殿臣[2] 

机构地区：[1]南京工程学院基础部,江苏南京211167 [2]江苏大学非线性科学研究中心,江苏镇江212013

出　　处：《南京工程学院学报（自然科学版）》2007年第2期1-8,共8页Journal of Nanjing Institute of Technology(Natural Science Edition)

摘　　要：借助两个推广形式的Riccati方程组和Mathematica软件,求出了具外力项变系数Burgers方程和Witham- Broer-Kaup方程的一些精确解,包括各种类孤立波解、类周期解和变速孤立波解,其中许多解是新的.By using two extended Riccati equations and Mathematica software, the author obtains exact solutions to the Variable Coefficient Burgers Equation with forced term outside and Witham-Broer-Kaup equation, including many kinds of solitary-wave-like solutions, like periodical solutions and solitary wave solutions with variable speed, many of which are found for the first time.

关 键 词：RICCATI方程组 变系数BURGERS方程 Witham-Broer-Kaup方程 类孤立波解 

分 类 号：O175.2[理学—数学]