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A new (2+1)-dimensional supersymmetric Boussinesq equation and its Lie symmetry study |
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| Authors: | Wang You-F Lou Sen-Yue Qian Xian-Min |
| 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 |
| Abstract: | According to the conjecture based on some known facts of integrablemodels, a new (2+1)-dimensional supersymmetric integrable bilinearsystem is proposed. The model is not only the extension of the known(2+1)-dimensional negative Kadomtsev--Petviashvili equation but alsothe extension of the known (1+1)-dimensional supersymmetricBoussinesq equation. The infinite dimensional Kac--Moody--Virasorosymmetries and the related symmetry reductions of the model areobtained. Furthermore, the traveling wave solutions includingsoliton solutions are explicitly presented. |
| Keywords: | integrable models supersymmetry symmetries and symmetryreductions exact solutions |
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