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

الملخص EN

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.