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.
Wenjuan Rui. Yufeng Zhang. "Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/424059