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Bilinear approach to N = 2 supersymmetric KdV equations

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Abstract

The N = 2 supersymmetric KdV equations are studied within the framework of Hirota bilinear method. For two such equations, namely N = 2, a = 4 and N = 2, a = 1 supersymmetric KdV equations, we obtain the corresponding bilinear formulations. Using them, we construct particular solutions for both cases. In particular, a bilinear Bäcklund transformation is given for the N = 2, a = 1 supersymmetric KdV equation.

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Authors and Affiliations

  1. Department of Mathematics, China University of Mining and Technology, Beijing, 100083, China

    MengXia Zhang & QingPing Liu

  2. School of Mathematical Sciences, Capital Normal University, Beijing, 100037, China

    MengXia Zhang & Ke Wu

  3. Department of Applied Mathematics, Yuncheng University, Yuncheng, 044000, China

    YaLi Shen

Authors
  1. MengXia Zhang
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  2. QingPing Liu
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  3. YaLi Shen
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  4. Ke Wu
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Corresponding author

Correspondence to QingPing Liu.

Additional information

This work was supported by National Natural Science Foundation of China (Grant Nos. 10671206, 10231050) and NKBRPC (Grant No. 2004CB318000) and Beijing Jiao-Wei Key Project (Grant No. KZ200810028013)

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Zhang, M., Liu, Q., Shen, Y. et al. Bilinear approach to N = 2 supersymmetric KdV equations. Sci. China Ser. A-Math. 52, 1973–1981 (2009). https://doi.org/10.1007/s11425-009-0014-x

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  • DOI: https://doi.org/10.1007/s11425-009-0014-x

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