| 一类高维广义扰动孤子方程的行波渐近解 |
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| 引用本文： | 欧阳成,陈贤峰,莫嘉琪.一类高维广义扰动孤子方程的行波渐近解[J].吉林大学学报(理学版),2015,53(5):841-845. |
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| 作者姓名： | 欧阳成 陈贤峰 莫嘉琪 |
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| 作者单位： | 1. 湖州师范学院 理学院, 浙江 湖州 313000; 2. 上海交通大学 数学系, 上海 200240; 3. 安徽师范大学 数学系, 安徽 芜湖 241003 |
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| 摘 要： | 用行波变换和摄动理论研究一类(2+1)维扰动破裂孤子方程,先讨论其对应典型的破裂方程,并利用非线性方程待定常数投射方法得到了它的孤子精确解,再利用摄动方法得到了扰动破裂方程的孤子行波渐近解.
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| 关 键 词： | 孤子 精确解 渐近解 |
| 收稿时间： | 2015-04-08 |
Travelling Asymptotic Solution for a Class of Higher Dimensions Generalized Disturbed Soliton Equation |
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| OUYANG Cheng,CHEN Xianfeng,MO Jiaqi.Travelling Asymptotic Solution for a Class of Higher Dimensions Generalized Disturbed Soliton Equation[J].Journal of Jilin University: Sci Ed,2015,53(5):841-845. |
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| Authors: | OUYANG Cheng CHEN Xianfeng MO Jiaqi |
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| Institution: | 1. School of Science, Huzhou University, Huzhou 313000, Zhejiang Province, China;2. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;3. Department of Mathematics, Anhui Normal University, Wuhu 241003, Anhui Province, China |
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| Abstract: | A class of (2+1) dimentions disturbed breaking solitonequation was studied via the travelling wave transformation and perturbation theory. Firstly, the corresponding typical breaking equation was considered, and its exact soliton solution was obtained by means of the undetermined constants projectile method. Then, the soliton travelling wave asymptotic solution of a disturbed breaking equation was found by a perturbation method. |
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| Keywords: | soliton exact solution asymptotic solution |
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