Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation. (27th March 2014)

• Record Type: Journal Article
• Authors: Lu, Dianchen; Liu, Jie
• Other Names: Hong Baojian Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-27
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/309420
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The homotopy analysis method is applied to solve the variable coefficient KdV-Burgers equation. With the aid of generalized elliptic method and Fourier's transform method, the approximate solutions of double periodic form are obtained. These solutions may be degenerated into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases. The results indicate that this method is efficient for the nonlinear models with the dissipative terms and variable coefficients.