| Baecklund Transformation and Localized Coherent Structure for the （2＋1）—Dimensional Asymmetric Nizhnik—Novikov—Veselov Equation |
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| 引用本文： | 张解放,刘宇陆.Baecklund Transformation and Localized Coherent Structure for the （2＋1）—Dimensional Asymmetric Nizhnik—Novikov—Veselov Equation[J].上海大学学报(英文版),2002,6(3):191-195. |
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| 作者姓名： | 张解放 刘宇陆 |
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| 作者单位： | ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China |
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| 摘 要： | This article is concerned with the extended homogeneous balance method for studying the abundant lacalized solution structure of the (2 1)-dimensional asymmetric Nizhnik-novikov-Veselov equation.A Baecklund transformation was first obtained.and then the richness of the localized coherent structures was found,which was caused by the entrance of two variable-separated arbitrary functions,in the model.For some spectial choices of the arbitrary functions,it is shown that the localized structures of the model may be dromions,lumps,and rinmg solitons.
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| 关 键 词： | 非线性系统 ANNV方程 定域相干结构 Backlund变换 |
| 收稿时间： | 31 January 2002 |
Bäcklund transformation and localized coherent structure for the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation |
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| Zhang?Jie-Fang,Liu?Yu-Lu.B?cklund transformation and localized coherent structure for the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation[J].Journal of Shanghai University(English Edition),2002,6(3):191-195. |
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| Authors: | Zhang Jie-Fang Liu Yu-Lu |
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| Institution: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, China |
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| Abstract: | This article is concerned with the extended homogeneous balance method for studying the abundant localized solution structure
of the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation. A Backlund transformation was first obtained, and then
the richness of the localized coherent structures was found, which was caused by the entrance of two variable-separated arbitrary
functions, in the model. For some special choices of the arbitrary functions, it is shown that the localized structures of
the model may be dromions, lumps, and ring solitons. |
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| Keywords: | homogeneous balance method coherent soliton structures asymmetric Nizhnik-Novikov-veselov equation (ANNV equation) Backlund transformation |
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