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一种变换型试探函数法的扩展与Burgers方程新的显式精确解
Extension of the Trial Function Method Based on Cole-Hopf Trans formation and New Explicit Exact Solutions for Burgers Equation
【摘要】 对试探函数法进行了一定的扩展,并借此求解出了Burgers方程多个新的显式精确解,其中包括一般形式的行波解、奇异行波解、孤波解、有理函数解和三角函数解.
【Abstract】 In this paper,the trial function method based on Cole-Hopf transformation is extended and by using the extended method the new explicit exact solutions for Burgers equation,which include traveling wave solution,solitary wave solutions rational function solution and triangle function solutions are obtained.
【关键词】 变换型试探函数法;
Burgers方程;
孤波解;
有理函数解;
三角函数解;
【Key words】 trial function method; Burgers equation; solitary wave solution; rational function solution; triangle function solution;
【Key words】 trial function method; Burgers equation; solitary wave solution; rational function solution; triangle function solution;
- 【文献出处】 长沙电力学院学报(自然科学版) ,Journal of Changsha University of Electric Power(Natural Science) , 编辑部邮箱 ,2006年03期
- 【分类号】O175.29
- 【被引频次】5
- 【下载频次】138