| General Solution and Localized COherent Soliton Structures of the （2＋1）—Dimensional Generalized Davey—Stewarson Equations |
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| 引用本文： | ZHENGChun－Long HUANGWen－Hua 等.General Solution and Localized COherent Soliton Structures of the （2＋1）—Dimensional Generalized Davey—Stewarson Equations[J].理论物理通讯,2002,38(6):653-656. |
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| 作者姓名： | ZHENGChun－Long HUANGWen－Hua |
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| 作者单位： | [1]DepartmentofPhysics,ZhejiangLishuiNormalCollege,Lishui323000,CHina;NonlinearPhysics,ZhejiangNormalUniversity,Jinhua321004,CHina [2]NonlinearPhysics,ZhejiangNormalUniversity,Jinhua321004,CH |
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| 摘 要： | In this paper,the variable separation approach is used to obtain localized coherent structures of the (2 1)-dimensional generalized Davey-Stewarson equations:iqt 1/2(qxx=qyy) (R S)q=0,Rx=-σ/2|q|y^2,Sy=-σ/2|q|2/x.Applying a special Baecklund transformation and introducing arbitrary functions of the seed solutions.and abundance of the localized structures of this model is derived,By selceting the arbitrary functions appropriately,some special types of localized excitations such as dromions,dromion lattice,breathers,and instantons are constructed.
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| 关 键 词： | 非线性偏微分方程 Darey－Stewa－Son方程 相干孤子结构 |
| 收稿时间： | 2002-04-11 |
General Solution and Localized Coherent Soliton Structures of the(2+1)-Dimensional Generalized Davey- Stewarson Equations |
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| ZHENG Chun-Long,HUANG Wen-Hua,ZHANG Jie-Fang.General Solution and Localized Coherent Soliton Structures of the(2+1)-Dimensional Generalized Davey- Stewarson Equations[J].Communications in Theoretical Physics,2002,38(6):653-656. |
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| Authors: | ZHENG Chun-Long HUANG Wen-Hua ZHANG Jie-Fang |
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| Institution: | 1. Department of Physics, Zhejiang Lishui Normal College,
Lishui 323000, China
;2. Nonlinear Physics, Zhejiang Normal University,
Jinhua 321004, China
;3. Department of Physics, Jiangxi Yichun University,
Yichun 336000, China |
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| Abstract: | In this paper, the variable separation approach is used to obtain localized coherent structures of the (2+1)-dimensional generalized Davey-Stewarson
equations: iqt+(1/2)(qxx+qyy)+(R+S)q=0, Rx=-(σ/2)|q|y2,
Sy=-(σ/2)|q|x2.
Applying a special Bäcklund transformation and introducing
arbitrary functions of the seed solutions, an abundance of the
localized structures of this model is derived. By selecting the
arbitrary functions appropriately, some special types of localized
excitations such as dromions, dromion lattice, breathers, and instantons
are constructed. |
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| Keywords: | variable separation approach generalized Davey-Stewarson equations coherent structure |
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