| Backlund Transformation and Exact Solution to Kadomtsev-Petviashvili Equation with Variable Coefficients |
| |
| 作者姓名： | 张金良 王明亮 程东明 王跃明 方宗德 |
| |
| 作者单位： | ZHANG Jinliang，WANG Mingliang CHENG DongmingWANG Yueming and FANG Zongde(Depart，of Flight Vehicle Manufact.，Northwest. Polytech. Univ.，Xi'an，710072)(Depart，of Math，and Phys.，Henan Univ. of Sci. and Tech.，Luoyang，Henan，471003)(Department of Mathematics，Lanzhou University，Lanzhou，730000) |
| |
| 基金项目： | This work is supported in part by the Natural Science Foundation (0111050200) of Henan Province of China，the Natural Science Foundation of Education Committee (2000110008) of Henan Province of China |
| |
| 摘 要： | By using the homogeneous balance principle, we derive a Backlund transformation (BT) to (3+1)-dimensionaI Kadomtsev-Petviashvili (K-P) equation with variable coefficients if the variable coefficients are linearly dependent. Based on the BT, the exact solution of the (3+1)-dimensional K-P equation is given. By the same method, we derive a BT and the solution to (2+1)-dimensional K-P equation. The variable coefficients can change the amplitude of solitary wave, but cannot change the form of solitary wave.
|
Backlund Transformation and Exact Solutionto Kadomtsev-Petviashvili Equationwith Variable Coefficients |
| |
| ZHANG Jinliang,WANG Mingliang CHENG DongmingWANG Yueming and FANG Zongde.Backlund Transformation and Exact Solution to Kadomtsev-Petviashvili Equation with Variable Coefficients[J].Northeastern Mathematical Journal,2002(4). |
| |
| Authors: | ZHANG Jinliang WANG Mingliang CHENG DongmingWANG Yueming and FANG Zongde |
| |
| Abstract: | By using the homogeneous balance principle, we derive a Backlund transformation (BT) to (3+1)-dimensionaI Kadomtsev-Petviashvili (K-P) equation with variable coefficients if the variable coefficients are linearly dependent. Based on the BT, the exact solution of the (3+1)-dimensional K-P equation is given. By the same method, we derive a BT and the solution to (2+1)-dimensional K-P equation. The variable coefficients can change the amplitude of solitary wave, but cannot change the form of solitary wave. |
| |
| Keywords: | Kadomtsev-Petviashvili (K-P) equation with variable coefficients homogeneous balance principle (HBP) Backlund transformation (BT) solitary wave solution |
| 本文献已被 CNKI 等数据库收录！ |
