| Backlund Transformation and Exact Solution to Kadomtsev-Petviashvili Equation with Variable Coefficients |
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| 引用本文： | 张金良,王明亮,程东明,王跃明,方宗德. Backlund Transformation and Exact Solution to Kadomtsev-Petviashvili Equation with Variable Coefficients[J]. 东北数学, 2002, 0(4) |
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| 作者姓名： | 张金良 王明亮 程东明 王跃明 方宗德 |
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| 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) |
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| 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 |
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| 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.
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Backlund Transformation and Exact Solutionto Kadomtsev-Petviashvili Equationwith Variable Coefficients |
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| ZHANG Jinliang,WANG Mingliang CHENG DongmingWANG Yueming and FANG Zongde. Backlund Transformation and Exact Solutionto Kadomtsev-Petviashvili Equationwith Variable Coefficients[J]. Northeastern Mathematical Journal, 2002, 0(4) |
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| Authors: | ZHANG Jinliang WANG Mingliang CHENG DongmingWANG Yueming FANG Zongde |
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| 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. |
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| Keywords: | Kadomtsev-Petviashvili (K-P) equation with variable coefficients homogeneous balance principle (HBP) Backlund transformation (BT) solitary wave solution |
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