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Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation

Author

Listed:
  • Huanhe Dong
  • Yanfeng Zhang
  • Yongfeng Zhang
  • Baoshu Yin

Abstract

We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of ( )-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized -operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. As applications, we solve the periodic wave solution of BLMP equation and it can be reduced to soliton solution via asymptotic analysis when the value of is 5.

Suggested Citation

  • Huanhe Dong & Yanfeng Zhang & Yongfeng Zhang & Baoshu Yin, 2014. "Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, July.
    • Handle: RePEc:hin:jnlaaa:738609
    DOI: 10.1155/2014/738609
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    Cited by:

    1. Xiangrong Wang & Xiaoen Zhang & Yong Zhang & Huanhe Dong, 2015. "The Interactions of N‐Soliton Solutions for the Generalized (2 + 1)‐Dimensional Variable‐Coefficient Fifth‐Order KdV Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    2. Hongwei Yang & Yong Zhang & Xiaoen Zhang & Xin Chen & Zhenhua Xu, 2016. "The Rational Solutions and Quasi‐Periodic Wave Solutions as well as Interactions of N‐Soliton Solutions for 3 + 1 Dimensional Jimbo‐Miwa Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).

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