| 移植法精确求解广义变系数KP方程 |
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| 引用本文： | 毛杰健,黄先恺,杨建荣,庄玲.移植法精确求解广义变系数KP方程[J].上饶师范学院学报,2010,30(3):13-24. |
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| 作者姓名： | 毛杰健 黄先恺 杨建荣 庄玲 |
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| 作者单位： | 上饶师范学院,江西,上饶,334001 |
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| 基金项目： | 江西省自然科学基金资助课题 |
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| 摘 要： | 我们将（1＋1）维Korteweg-de Vries（KdV）方程的解,移植到含有5个变系数的广义Kaolomtsev-Petviashvili（KP）方程,成功地获得了19组KP方程的精确解和类孤波解,讨论了类孤波解随时间和边界的变化情况。
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| 关 键 词： | 移植法 精确解 孤波解 |
A Transplantation Method Exactly Solving the Generalized Variable Coefficients KP Equation |
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| MAO Jie-jian,HUANG Xian-kai,YANG Jian-rong,ZHUANG Ling.A Transplantation Method Exactly Solving the Generalized Variable Coefficients KP Equation[J].Journal of Shangrao Normal College,2010,30(3):13-24. |
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| Authors: | MAO Jie-jian HUANG Xian-kai YANG Jian-rong ZHUANG Ling |
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| Institution: | (Shangrao Normal University,Shangrao Jiangxi 334001,China) |
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| Abstract: | In this paper, we transplant the Jacobi elliptic function solutions of (1+1)-dimensional Korteweg-de Vries (KdV) equation to the generalized variable coefficients Kaolomtsev-Petviashvili (KP) system containing five variable coefficients, and successfully obtain nineteen groups of new exact solutions and solitary wave-like solutions about this KP equation. Then discuss the cases that the solitary wave-like solutions produce fraction and deformation with the change of time and boundary. |
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| Keywords: | A transplantation method exact solutions solitary wave-like solution |
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