量子电子学报2011，Vol.28Issue(6)：674-681,8.DOI:10.3969/j.issn.1007-5461.2011.05.005
利用(G’/G)展开法求解广义变系数Burgers方程
Solving generalized Burgers equation with variable coefficients by (G’/G)-expansion method
摘要
Abstract
In recent years, nonlinear evolution equations with variable coefficients received more and more attention. (G' / G)-expansion method, a new method put forward by Wang Ming-liang et al in 2008 was applied to the nonlinear evolution equations with variable coefficients for the first time. The generalized Burgers equation with variable coefficient was taken as an example, and new exact solutions were obtained successfully when the coefficient meet the controlled conditions. When this expansion method was improved, the new solution of generalized Burgers equation with variable coefficients can be obtained successfully once again. It is proved that this expansion method is not only easy when solving nonlinear evolution equations with constant coefficients but also very efficient, concise and practical when solving the nonlinear evolution equations with variable coefficients, and it also has a broad application.关键词
非线性发展方程/精确解/(G’/G)展开法/广义变系数Burgers方程Key words
nonlinear evolution equations/exact solution/(G' / G)-expansion method/generalized Burgers equation with variable coefficient分类
数理科学引用本文复制引用
庞晶,靳玲花,应孝梅..利用(G’/G)展开法求解广义变系数Burgers方程[J].量子电子学报,2011,28(6):674-681,8.基金项目
国家教育部博士点基金(20070128001)、内蒙古自然科学基金(2010MS0115)和内蒙古工业大学自然科学基金(ZS201035)资助项目 （20070128001）
