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Integrability of a differential-difference KP equation with self-consistent sources

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  • Gegenhasi,
  • Hu, Xing-Biao

Abstract

We introduce a differential-difference KP equation with self-consistent sources (DΔ KPESCS) which is a generalization of the DΔ KP equation. The integrability of the differential-difference equation is shown through bilinear transformation method and Wronskian technique: it possesses N-soliton solution expressed in terms of Casorati determinants, bilinear Bäcklund transformation and Lax pairs.

Suggested Citation

  • Gegenhasi, & Hu, Xing-Biao, 2007. "Integrability of a differential-difference KP equation with self-consistent sources," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(2), pages 145-158.
    • Handle: RePEc:eee:matcom:v:74:y:2007:i:2:p:145-158
    DOI: 10.1016/j.matcom.2006.10.034
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    References listed on IDEAS

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    1. Zhang, Da-Jun & Chen, Deng-yuan, 2003. "The N-soliton solutions of the sine-Gordon equation with self-consistent sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 467-481.
    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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