| A new(2+1)-dimensional supersymmetric Boussinesq equation and its Lie symmetry study |
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| 作者姓名： | 王友法 楼森岳 钱贤民 |
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| 作者单位： | Department of Physics, Ningbo University, Ningbo 315211, China;Department of Physics, Shaoxing University, Shaoxing 312000, China;Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;School of Mathematics, Fudan University,
Shanghai 200433, China;Department of Physics, Ningbo University, Ningbo 315211, China;Department of Physics, Shaoxing University, Shaoxing 312000, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of
China (Grant No.~10735030), the Scientific Research Fund of Zhejiang
Provincial Education Department (Grant No.~20040969), the
National Basic Research Programs of China (Grant Nos.~2007CB814800
and 2005CB422301) and the PCSIRT (IRT0734). |
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| 摘 要： | According to the conjecture based on some known facts of integrable models,a new(2+1)-dimensional supersymmetric integrable bilinear system is proposed.The model is not only the extension of the known(2+1)-dimensional negative Kadomtsev-Petviashvili equation but also the extension of the known(1+1)-dimensional supersymmetric Boussinesq equation.The infinite dimensional Kac-Moody-Virasoro symmetries and the related symmetry reductions of the model are obtained.Furthermore,the traveling wave solutions including soliton solutions are explicitly presented.
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| 关 键 词： | integrable models supersymmetry symmetries and symmetry reductions exact solutions |
| 收稿时间： | 2009-07-27 |
A new (2+1)-dimensional supersymmetric Boussinesq equation and its Lie symmetry study |
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| Wang You-F,Lou Sen-Yue and Qian Xian-Min.A new(2+1)-dimensional supersymmetric Boussinesq equation and its Lie symmetry study[J].Chinese Physics B,2010,19(5):50202-050202. |
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| Authors: | Wang You-F Lou Sen-Yue and Qian Xian-Min |
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| Affiliation: | Department of Physics, Ningbo University, Ningbo 315211, China;Department of Physics, Shaoxing University, Shaoxing 312000, China; Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;School of Mathematics, Fudan University,
Shanghai 200433, China |
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| Abstract: | According to the conjecture based on some known facts of integrable
models, a new (2+1)-dimensional supersymmetric integrable bilinear
system is proposed. The model is not only the extension of the known
(2+1)-dimensional negative Kadomtsev--Petviashvili equation but also
the extension of the known (1+1)-dimensional supersymmetric
Boussinesq equation. The infinite dimensional Kac--Moody--Virasoro
symmetries and the related symmetry reductions of the model are
obtained. Furthermore, the traveling wave solutions including
soliton solutions are explicitly presented. |
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| Keywords: | integrable models supersymmetry symmetries and symmetry
reductions exact solutions |
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