title: Homotopic approximate solutions for the perturbed CKdV equation with variable coefficients.
abstract: This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. The obtained solutions may degenerate into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases. Moreover, the first order approximate solutions and the second order approximate solutions of the variable coefficients CKdV equation in perturbation εu (n) are also induced.
authors.affiliation: Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
authors.forename: Dianchen
authors.initials: D
authors.lastname: Lu
authors.affiliation: Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
authors.forename: Tingting
authors.initials: T
authors.lastname: Chen
authors.affiliation: Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
authors.forename: Baojian
authors.identifier: 0000-0002-4764-3594
authors.initials: B
authors.lastname: Hong