| Folded Solitary Waves and Foldons in （2＋1） Dimensions |
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| 作者姓名： | TANGXiao-Yan LOUSen-Yue |
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| 作者单位： | [1]DepartmentofPhysics,ShanghaiJiaoTongUniversity,Shanghai200030,China [2]SchoolofMathematics,TheUniversityofNewSouthWales,Sydney,NSW2052,Australia |
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| 摘 要： | A general type of local/zed excitations, folded solitary waves and foldons, is defined and studied both analytically and graphically. The folded solitary waves and foldons may be “folded“ in quite complicated ways and possess qnite rich structures and abundant interaction properties. The folded phenomenon is quite universal in the real natural world. The folded solitary waves and foldons are obtained from a quite universal formula and the universal formul is valid for some quite universal (2 1)-dimensional physical mode/s. The “universal“ formula is also extended to a more general form with many more independent arbitrary functions.
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| 关 键 词： | 折迭孤波 （2＋1）维物理模型 非线性偏微分方程 孤波解 |
| 收稿时间： | 2003-01-06 |
Folded Solitary Waves and Foldons in (2+1) Dimensions |
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| TANGXiao-Yan LOUSen-Yue.Folded Solitary Waves and Foldons in (2+1) Dimensions[J].Communications in Theoretical Physics,2003,40(1):62-66. |
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| Authors: | TANG Xiao-Yan and LOU Sen-Yue |
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| Institution: | 1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
;2. School of Mathematics, The University of New South Wales,
Sydney, NSW 2052, Australia
;3. Department of Physics, Ningbo University, Ningbo 315211,
China |
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| Abstract: | A general type of localized excitations, folded solitary waves and
foldons, is defined and studied both analytically and graphically. The folded solitary waves and foldons may be
“folded”in quite complicated ways and possess quite rich structures and abundant interaction properties. The folded phenomenon is quite universal in the real natural world. The folded solitary waves and foldons are obtained from a quite universal formula and the universal formula is valid for some
quite universal (2+1)-dimensional physical models. The “universal” formula is also extended to a more general form with many more independent arbitrary functions. |
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| Keywords: | folded solitary wave foldon |
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