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Soliton solutions for Korteweg-de Vries equation by homotopy analysis method

Lookup NU author(s): Dr Hao Song, Professor Longbin Tao

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Abstract

This article solves the well-known Korteweg-de Vries equation by the homotopy analysis method, an analytical, totally explicit technique. By choosing a proper auxiliary parameter, the new series solution converges rapidly to the exact solution, with a simple way to adjust the convergence region. In addition, we show that a significant improvement of the convergence rate and region is achieved by applying homotopy-pade approximants. The present method holds promise in providing soliton solutions for more complicated wave equations.

Publication metadata

Author(s): Song H, Tao L

Publication type: Article

Publication status: Published

Journal: ANZIAM Journal

Year: 2008

Volume: 50

Pages: C152-C165

Print publication date: 01/01/2008

Date deposited: 16/03/2011

ISSN (print): 1446-1811

ISSN (electronic): 1446-8735

Publisher: Cambridge University Press

URL: http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1354

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