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Commutativity of source generation procedure and Bäcklund transformation: A BKP equation

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  • Wang, Hong-Yan

Abstract

The source generation procedure is applied to a BKP-type equation and a modified BKP-type (m-BKP) equation, respectively. As a result, a BKP equation with self-consistent sources (ESCS) and a m-BKP ESCS are derived. It is also proved that the bilinear m-BKP ESCS constitutes a bilinear Bäcklund transformation for the BKP ESCS. This means that the commutativity between the source generation procedure and Bäcklund transformation is valid for the BKP equation.

Suggested Citation

  • Wang, Hong-Yan, 2009. "Commutativity of source generation procedure and Bäcklund transformation: A BKP equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 779-785.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:4:p:779-785
    DOI: 10.1016/j.matcom.2009.08.011
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    References listed on IDEAS

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    1. Ma, Wen-Xiu, 2005. "Complexiton solutions of the Korteweg–de Vries equation with self-consistent sources," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1453-1458.
    2. Lin, Runliang & Zeng, Yunbo & Ma, Wen-Xiu, 2001. "Solving the KdV hierarchy with self-consistent sources by inverse scattering method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 287-298.
    3. Xiao, Ting & Zeng, Yunbo, 2005. "A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 38-60.
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