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Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation

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  • Wenjuan Rui
  • Yufeng Zhang

Abstract

Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained by using the Riemann theta function. The asymptotic properties of one-periodic wave solution and two-periodic wave solutions are also established, respectively.

Suggested Citation

  • Wenjuan Rui & Yufeng Zhang, 2014. "Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, May.
    • Handle: RePEc:hin:jnlaaa:424059
    DOI: 10.1155/2014/424059
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