| New Exact Solutions of （1 ＋ 1）-Dimensional Coupled Integrable Dispersionless System |
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| 引用本文： | 戴朝卿,杨琴,王悦悦. New Exact Solutions of （1 ＋ 1）-Dimensional Coupled Integrable Dispersionless System[J]. 理论物理通讯, 2011, 55(4): 622-628 |
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| 作者姓名： | 戴朝卿 杨琴 王悦悦 |
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| 作者单位： | [1]School of Sciences, Zhejiang Agriculture and Forestry University, Lin＇an 311300, China [2]College of Mathematics and Information Engineering, Jiaxing University, Jiaxing 314001, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No. 11005092, the Program for Innovative Research Team of Young Teachers under Grant No. 2009RC01 and Scientific Research, and Developed Fund under Grant No. 2009FK42 of Zhejiang A＆F University |
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| 摘 要： |
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| 关 键 词： | 耦合系统 精确解 散射 可积 非线性演化方程 Riccati方程 变量分离解 黎卡提方程 |
| 收稿时间： | 2010-12-02 |
New Exact Solutions of (1+1)-Dimensional Coupled Integrable Dispersionless System |
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| DAI Chao-Qing,YANG Qin,WANG Yue-Yue. New Exact Solutions of (1+1)-Dimensional Coupled Integrable Dispersionless System[J]. Communications in Theoretical Physics, 2011, 55(4): 622-628 |
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| Authors: | DAI Chao-Qing YANG Qin WANG Yue-Yue |
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| Affiliation: | 1.School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China;2.College of Mathematics and Information Engineering, Jiaxing University, Jiaxing 314001, China |
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| Abstract: | This paper applies the exp-function method, which was originally proposed to find new exact travelling wave solutions of nonlinear evolution equations, to the Riccati equation, and some exact solutions of this equation are obtained. Based on the Riccati equation and its exact solutions, we find new and more generalvariable separation solutions with two arbitrary functions of (1+1)-dimensional coupled integrable dispersionless system. As some special examples, some new solutions can degenerate into variable separation solutions reported in open literatures. By choosing suitably two independent variables p(x) and q(t) inour solutions, the annihilation phenomena of the flat-basin soliton, arch-basin soliton, and flat-top soliton are discussed. |
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| Keywords: | variable separation solutions （1 ＋ 1）-dimensional coupled integrable dispersionless system expfunction method Riccati equation |
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