| (3+1)维Burgers系统的瞬内嵌孤子和瞬锥形孤子 |
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| 引用本文： | 马松华,方建平,任清褒.(3+1)维Burgers系统的瞬内嵌孤子和瞬锥形孤子[J].物理学报,2010,59(7):4420-4425. |
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| 作者姓名： | 马松华 方建平 任清褒 |
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| 作者单位： | 丽水学院物理系,丽水,323000 |
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| 基金项目： | 浙江省自然科学基金(批准号:Y6090545,Y606252)和丽水学院自然科学基金(批准号:KZ09005)资助的课题. |
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| 摘 要： | 利用投射方程法和变量分离法,得到了(3+1)维Burgers系统的变量分离解(包括孤波解、周期波解和有理函数解).根据孤波解和有理函数解,构造出Burgers系统新颖的局域结构,例如瞬内嵌孤子和瞬锥形孤子.
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| 关 键 词： | 投射方程法 (3+1)维Burgers系统 瞬内嵌孤子 瞬锥形孤子 |
| 收稿时间： | 2009-10-14 |
Instantaneous embed soliton and instantaneous taper-like soliton for the(3+1)-dimensional Burgers system |
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| Ma Song-Hua,Fang Jian-Ping,Ren Qing-Bao.Instantaneous embed soliton and instantaneous taper-like soliton for the(3+1)-dimensional Burgers system[J].Acta Physica Sinica,2010,59(7):4420-4425. |
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| Authors: | Ma Song-Hua Fang Jian-Ping Ren Qing-Bao |
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| Institution: | Department of Physics, Lishui University, Lishui 323000, China;Department of Physics, Lishui University, Lishui 323000, China;Department of Physics, Lishui University, Lishui 323000, China |
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| Abstract: | With a projective equation method and a variable separation method, new families of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) for (3+1)-dimensional Burgers system is derived. Based on a derived solitory wave solution and a rational function solution, we obtain some novel localized structures such as instantaneous embed soliton and instantaneous taper-like soliton. |
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| Keywords: | projective equation method (3+1)-dimensional Burgers system instantaneous embed soliton instatntaneous taper-like soliton |
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