| 非线性离散微分方程的双曲函数法求解 |
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| 引用本文： | 朱加民.非线性离散微分方程的双曲函数法求解[J].中国物理 B,2005,14(7):1290-1295. |
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| 作者姓名： | 朱加民 |
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| 作者单位： | Department of Physics, Lishui University, Lishui 323000,China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No 10172056) and the
Outstanding Youth Foundation of Lishui University, China (Grant No QN04008) |
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| 摘 要： | 本文推广了双曲函数方法用于求解非线性离散系统。求解离散的(2+1)维Toda系统和离散的mKdV系统，成功地得到了离散钟型孤立子、离散冲击波型孤立子及一些新的精确行波解。
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| 关 键 词： | 离散的(2+1)维Toda系统 离散的mKdV系统 行波解 双曲函数方法 |
| 收稿时间： | 2004-10-21 |
Hyperbolic function method for solving nonlinear differential-different equations |
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| Zhu Jia-Min.Hyperbolic function method for solving nonlinear differential-different equations[J].Chinese Physics B,2005,14(7):1290-1295. |
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| Authors: | Zhu Jia-Min |
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| Institution: | Department of Physics, Lishui University, Lishui 323000,China |
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| Abstract: | An algorithm is devised to obtained exact travelling wave solutions of differential-different equations by means of hyperbolic function. For illustration, we apply the method to solve the
discrete nonlinear (2+1)-dimensional Toda lattice equation and the discretized nonlinear mKdV lattice equation, and successfully constructed some explicit and exact travelling wave solutions. |
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| Keywords: | discrete (2+1)-dimensional Toda lattice equation discretized mKdV lattice
equation travelling wave solutions hyperbolic function approach |
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