节点文献
(2+1)维Burgers方程新的复合解
New Complexiton Solutions for the(2+1)-dimensional Burgers Equation
【摘要】 <正>In this paper,a new generalized compound Riccati equations rational expansion method(GCRERE)is proposed.Compared with most existing rational expansion methods and other sophisticated methods,the proposed method is not only recover some known solutions,but also find some new and general complexiton solutions.Being concise and straightforward,it is applied to the(2+1)-dimensional Burgers equation.As a result,eight families of new exact analytical solutions for this equation are found.The method can also be applied to other nonlinear partial differential equations.
【Abstract】 In this paper,a new generalized compound Riccati equations rational expansion method(GCRERE)is proposed.Compared with most existing rational expansion methods and other sophisticated methods,the proposed method is not only recover some known solutions,but also find some new and general complexiton solutions.Being concise and straightforward,it is applied to the(2+1)-dimensional Burgers equation.As a result,eight families of new exact analytical solutions for this equation are found.The method can also be applied to other nonlinear partial differential equations.
【Key words】 generalized compound Riccati equations rational expansion method; (2+1)-dimensional Burgers equation; complexiton solution;
- 【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2007年05期
- 【分类号】O175
- 【下载频次】86