| 非线性“loop”孤子方程的确定解 |
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| 引用本文： | 蒲利春,张雪峰,徐丽君.非线性“loop”孤子方程的确定解[J].物理学报,2005,54(9):4186-4191. |
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| 作者姓名： | 蒲利春 张雪峰 徐丽君 |
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| 作者单位： | 攀枝花学院数理教学部，攀枝花 617000 |
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| 摘 要： | 提出一种求解非线性“loop”孤子方程确定解的新方法，即以“行波”为因子，利用幂级数直接求解该方程解析函数U(ξ)，用MatLab绘制c→光速和c→声速的U(ξ)-ξ图像，直 接观察该方程解的变化规律，找出该方程的确定解(含孤波解）. 该方法为求解难度大的非 线性孤子方程提供借鉴.
关键词：
非线性孤子方程
确定解
MatLab图像
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| 关 键 词： | 非线性孤子方程 确定解 MatLab图像 |
| 文章编号： | 1000-3290/2005/54(09)/4186-06 |
| 收稿时间： | 10 10 2004 12:00AM |
| 修稿时间： | 2004-10-102005-02-23 |
Exact solution of the nonlinear "loop" soliton equation |
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| Pu Li-Chun,Zhang Xue-Feng,Xu Li-Jun.Exact solution of the nonlinear "loop" soliton equation[J].Acta Physica Sinica,2005,54(9):4186-4191. |
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| Authors: | Pu Li-Chun Zhang Xue-Feng Xu Li-Jun |
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| Abstract: | In this paper the author proposes a new method to solve the nonlinear “loop” soliton equation,that is,to directly find the solution of the analytic function U(ξ) of the equation by using the traveling wave parameter ξ and the power ser ies expansion, and to find the exact solution of the equation (including the sol itary wave solution) by directly observing the variation of the equation using M atLab to depict the functional relationship of U(ξ)-ξ for the cases of c→ligh t speed and c→sound speed.This method should be helpful in solving difficult no nlinear soliton equations. |
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| Keywords: | nonlinear “loop” of the soliton equation exact solution MatLab picture |
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