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物理学报. 2005, 54(11): 4999-5002.
doi: 10.7498/aps.54.4999.
变系数KP方程新的类孤波解和解析解
- 收稿日期: 2005-03-09
- 修回日期: 2005-04-30
- 刊出日期: 2005-11-20
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.
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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
English Abstract
New solitary wave-like solution and exact solution of variable coefficient KP equation
- Received Date:
09 March 2005
- Accepted Date:
30 April 2005
- Published Online:
20 November 2005
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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