Embedded-Soliton and Complex Wave Excitations of (3+1)-Dimensional Burgers System |
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作者姓名: | ZHU Hai-Ping ;PAN Zhen-Huan ;Chun-Long |
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作者单位: | [1]College of Mathematics and Physics, Lishui University, Lishui 323000, China; [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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基金项目: | The project supported by the Natural Science Foundation of Zhejiang Province under Grant Nos. Y604106 and Y606181, the Foundation of New Century "151 Talent Engineering" of Zhejiang Province, the Scientific Research Foundation of Key Discipline of Zhejiang Province. |
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摘 要: | Starting from the extended mapping approach and a linear variable separation method, we find new families of variable separation solutions with some arbitrary functions for the (3+1)-dimensionM Burgers system. Then based on the derived exact solutions, some novel and interesting localized coherent excitations such as embedded-solitons, taper-like soliton, complex wave excitations in the periodic wave background are revealed by introducing appropriate boundary conditions and/or initial qualifications. The evolutional properties of the complex wave excitations are briefly investigated.
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关 键 词: | 延伸映射近似值 (3+1)维Burgers系统 插入孤解 复杂波 |
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