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Burgers-BBM方程新的精确解
引用本文:洪宝剑,卢殿臣,赵康生.Burgers-BBM方程新的精确解[J].应用数学,2007,20(1):134-139.
作者姓名:洪宝剑  卢殿臣  赵康生
作者单位:1. 南京工程学院基础部,江苏,南京,210013;江苏大学非线性科学研究中心,江苏,镇江,212013
2. 江苏大学非线性科学研究中心,江苏,镇江,212013
3. 南昌航空工业学院数信学院,江西,南昌,330063
摘    要:借助两个推广形式的Riccati方程组和Mathematica软件,求出了Burgers-BBM方程,BBM方程,KDV—Burgers方程的大量新的精确解,包括各种形式的孤立波解和三角函数周期解.

关 键 词:Riccati方程组  Burgers-BBM方程  KDV-Burgers方程  精确解
文章编号:1001-9847(2007)01-0134-06
修稿时间:2006-06-05

Explicit and Exact Solutions to the Burgers-BBM Equation
HONG Bao-jian,LU Dian-chen,ZHAO Kang-sheng.Explicit and Exact Solutions to the Burgers-BBM Equation[J].Mathematica Applicata,2007,20(1):134-139.
Authors:HONG Bao-jian  LU Dian-chen  ZHAO Kang-sheng
Institution:1, Department of Basic Courses, Nanjing Institute of Technology, Nanjing 210013, China 2. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China 3, Department of Mathematics and Information, Nanchang Institute of Aeronautical Technology Nanchang 330063, China
Abstract:We study the Burgers-BBM equation, BBM equation and KDV-Burgers equation by using two new improved projective Riccati equations method. As a result,many explicit exact solutlons,which contain new solitary wave solutions,periodic wave solutions, the combined formal solitary wave solutions and periodic wave solutions are obtained.
Keywords:Riccati equations  Burgers-BBM equation KDV-Burgers equation Explicit solutions
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