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Chin. Phys. B, 2008, Vol. 17(1): 10-16    DOI: 10.1088/1674-1056/17/1/002
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A new supersymmetric classical Boussinesq equation

Zhang Meng-Xia(张孟霞)a),Liu Qing-Ping(刘青平)b), Wang Juan(王娟)b), and Wu Ke(吴可)a)
a School of Mathematical Sciences, Capital Normal University, Beijing 100037, China; b Department of Mathematics, China University of Mining and Technology, Beijing 100083, China
Abstract  In this paper, we obtain a supersymmetric generalization for the classical Boussinesq equation. We show that the supersymmetric equation system passes the Painlev\'{e test and we also calculate its one- and two-soliton solutions.
Keywords:  classical Boussinesq equation      supersymmetric integrable system      solitons      Painlevé analysis  
Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Ik (Integrable systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10671206).

Cite this article: 

Zhang Meng-Xia(张孟霞), Liu Qing-Ping(刘青平), Wang Juan(王娟), and Wu Ke(吴可) A new supersymmetric classical Boussinesq equation 2008 Chin. Phys. B 17 10

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