| Variable Separation Solutions in （1＋1）-Dimensional and （3＋1）-Dimensional Systems via Entangled Mapping Approach |
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| 作者姓名： | DAI Chao-Qing YAN Cai-Jie ZHANG Jie-Fang |
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| 作者单位： | [1]Department of Information Physics, School of Sciences, Zhejiang Forestry Univcrsity, Lin＇an 311300, China [2]Department of Physics, Zhejiang Lishui University, Lishui 323000, China [3]Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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| 基金项目： | The authors express their sincere thanks to the anonymous referees for their constructive suggestions and kind help. |
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| 摘 要： | ![]()
In this paper, the entangled mapping approach （EMA） is applied to obtain variable separation solutions of （1＋1）-dimensional and （3＋1）-dimensional systems. By analysis, we firstly find that there also exists a common formula to describe suitable physical fields or potentials for these （1＋1）-dimensional models such as coupled integrable dispersionless （CID） and shallow water wave equations. Moreover, we find that the variable separation solution of the （3＋1）-dimensional Burgers system satisfies the completely same form as the universal quantity U1 in （2＋1）-dimensional systems. The only difference is that the function q is a solution of a constraint equation and p is an arbitrary function of three independent variables.
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| 关 键 词： | 纠缠映射逼近 （1＋1）维系统 （3＋1）维Burgers系统 EMA |
| 收稿时间： | 2005-11-28 |
| 修稿时间： | 2005-11-282006-01-13 |
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