摘要
通过引进新的位势函数u =u(t,x ,y) ,导出了一个 (2 +1)维Burgers方程 :ut-uxx- 2ux- 1y ux =0。并利用齐次平衡原则导出了该方程的自 -B¨acklund变换 (BT) ,借助BT获得了 (2 +1)维Burgers方程的各种精确解 ,如多重孤立波解 。
A (2+1) Dimensional Burgers equation is derived via introducing a new potential function. Using the homogeneous balance principle we derive an auto BAa¨ cklund transformation (BT) for this equation. Various exact solutions of the equation are given by means of the BT, such as multi solitary wave solutions, integral form solutions which contains any functions, and so on.
出处
《洛阳工学院学报》
2001年第1期68-70,共3页
Journal of Luoyang Institute of Technology
基金
甘肃省自然科学基金! (ZR -97-0 0 2 )
河南省教委自然科学基金资助项目! (2 0 0 0 110 0 0 8)
