Application of the homotopy analysis method for solving the variable coefficient KdV-Burgers equation
type: Item
instance of: scholarly article
title: Application of the homotopy analysis method for solving the variable coefficient KdV-Burgers equation
zbMATH Open document ID: 1472.35337
DOI: 10.1155/2014/309420
author: Dianchen Lu
author: Jie Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 65M99
zbMATH DE Number: 7022138
zbMATH Keywords: KdV-Burgers equation
zbMATH Keywords: homotopy analysis method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/309420
OpenAlex ID: W1982885395
Wikidata QID: Q59038060
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description: scientific article; zbMATH DE number 7022138