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

Wenjuan Rui and Yufeng Zhang

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:424059

DOI: 10.1155/2014/424059

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