| New Complexiton Solutions of （2＋1）-Dimensional Nizhnik-Novikov-Veselov Equations |
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| 引用本文： | ZHANG Yuan-Yuan ZHENG Ying ZHANG Hong-Qing. New Complexiton Solutions of （2＋1）-Dimensional Nizhnik-Novikov-Veselov Equations[J]. 理论物理通讯, 2006, 46(3): 407-414 |
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| 作者姓名： | ZHANG Yuan-Yuan ZHENG Ying ZHANG Hong-Qing |
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| 作者单位： | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| 基金项目： | The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000 . |
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| 摘 要： | In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the （2＋ 1 ）-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.
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| 关 键 词： | 有理数扩展法 （2＋1）维Nizhnik-Novikov-Veselov方程 完全解 多重Riccati方程 |
| 收稿时间： | 2005-11-09 |
| 修稿时间： | 2005-11-09 |
New Complexiton Solutions of (2+1)-DimensionalNizhnik-Novikov-Veselov Equations |
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| ZHANG Yuan-Yuan,ZHENG Ying,ZHANG Hong-Qing. New Complexiton Solutions of (2+1)-DimensionalNizhnik-Novikov-Veselov Equations[J]. Communications in Theoretical Physics, 2006, 46(3): 407-414 |
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| Authors: | ZHANG Yuan-Yuan ZHENG Ying ZHANG Hong-Qing |
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| Affiliation: | Department of Applied Mathematics, Dalian University ofTechnology, Dalian 116024, China |
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| Abstract: | In this paper, we extend the multiple Riccati equations rationalexpansion method by introducing a new ansatz. Using this method, many complexiton solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equations are obtained which includevarious combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations. |
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| Keywords: | rational expansion method (2+1)-dimensionalNizhnik-Novikov-Veselov equations complexiton solutions |
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