中国物理B ›› 2008, Vol. 17 ›› Issue (1): 10-16.doi: 10.1088/1674-1056/17/1/002

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A new supersymmetric classical Boussinesq equation

刘青平1, 王娟1, 张孟霞2, 吴可2   

  1. (1)Department of Mathematics, China University of Mining and Technology, Beijing 100083, China; (2)School of Mathematical Sciences, Capital Normal University, Beijing 100037, China
  • 出版日期:2008-01-20 发布日期:2008-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10671206).

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)   

  1. a School of Mathematical Sciences, Capital Normal University, Beijing 100037, China; b Department of Mathematics, China University of Mining and Technology, Beijing 100083, China
  • Online:2008-01-20 Published:2008-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10671206).

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摘要： 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.

关键词: classical Boussinesq equation, supersymmetric integrable system, solitons, Painlev\'{e analysis

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.

Key words: classical Boussinesq equation, supersymmetric integrable system, solitons, Painlevé analysis

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Ik (Integrable systems)