| 变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解 |
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| 引用本文： | 徐兰兰,陈怀堂.变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解[J].物理学报,2013,62(9):90204-090204. |
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| 作者姓名： | 徐兰兰 陈怀堂 |
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| 作者单位： | 1. 临沂大学理学院, 临沂 276005;
2. 山东师范大学数学科学学院, 济南 250014 |
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| 摘 要： | 本文为获得非线性发展方程的相互作用解,研究了辅助方程法,并扩展应用辅助方程法和(G'/G)展开法, 获得了变系数非线性(2+1)维Nizhnik-Novikov-Vesselov方程的由椭圆函数、双曲函数、 三角函数和有理函数混合构成的新相互作用解.
关键词：
G'/G)展开法')" href="#">(G'/G)展开法
辅助方程法
三孤子解
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| 关 键 词： | (G'/G)展开法 辅助方程法 三孤子解 |
| 收稿时间： | 2012-11-11 |
New three-soliton solutions to (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients |
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| Xu Lan-Lan,Chen Huai-Tang.New three-soliton solutions to (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients[J].Acta Physica Sinica,2013,62(9):90204-090204. |
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| Authors: | Xu Lan-Lan Chen Huai-Tang |
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| Abstract: | In this paper, in order to obtain new solutions to nonlinear evolution equations, the auxiliary equation method and (G'/G)-expansion method are studied and extended. By using the method, many new exact solutions of the nonlinear (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients are obtained. The interaction new solutions include Jacobi elliptic function, hyperbolic function, triangular function and rational function.
Keywords：
G'/G)-expansion method')" href="#">(G'/G)-expansion method
auxiliary equation method
three-soliton solution |
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| Keywords: | (G′/G)-expansion method auxiliary equation method three-soliton solution |
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