| 变系数KP方程新的类孤波解和解析解 |
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| 引用本文： | 毛杰健,杨建荣.变系数KP方程新的类孤波解和解析解[J].物理学报,2005,54(11):4999-5002. |
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| 作者姓名： | 毛杰健 杨建荣 |
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| 作者单位： | 江西上饶师范学院物理系，上饶 334001 |
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| 摘 要： | 用普通Sine-Gordon的行波变换方程，提出了一种新的求解变系数Kaolomtsev-Petviashvili(KP)方程的方法，获得了变系数KP方程新的类孤波解、类Jacobi椭圆函数解和三角函数解.
关键词：
变系数KP方程
Sine-Gordon方程
类椭圆函数解
类孤波解
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| 关 键 词： | 变系数KP方程 Sine-Gordon方程 类椭圆函数解 类孤波解 |
| 文章编号： | 1000-3290/2005/54(11)/4999-04 |
| 收稿时间： | 3/9/2005 12:00:00 AM |
| 修稿时间： | 2005-03-092005-04-30 |
New solitary wave-like solution and exact solution of variable coefficient KP equation |
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| Mao Jie-Jian,Yang Jian-Rong.New solitary wave-like solution and exact solution of variable coefficient KP equation[J].Acta Physica Sinica,2005,54(11):4999-5002. |
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| Authors: | Mao Jie-Jian Yang Jian-Rong |
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| Institution: | Department of Physics, Shangrao Normal College, Shangrao 334001, China |
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| Abstract: | With the help of the general Sine-Gordon travelling wave transformation equation, we present a new method for solving the variable coefficient KP equation, and successfully obtain the new solitary wave-like solution, the Jacobi elliptic function-like solution and trigonometric function solution of variable coefficient KP equation. |
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| Keywords: | variable coefficient KP equation Sine-Gordon equation elliptic function-like solution solitary wave-like solution |
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