Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients

Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients

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 a...

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Main Authors: Dianchen Lu, Tingting Chen, Baojian Hong
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/593642
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spelling doaj-bca12681cdc74b9d81f68a88bf3186692020-11-24T21:48:03ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/593642593642Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable CoefficientsDianchen Lu0Tingting Chen1Baojian Hong2Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaCenter of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaCenter of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaThis 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 εun are also induced.http://dx.doi.org/10.1155/2014/593642
collection DOAJ
language English
format Article
sources DOAJ
author Dianchen Lu
Tingting Chen
Baojian Hong
spellingShingle Dianchen Lu
Tingting Chen
Baojian Hong
Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
The Scientific World Journal
author_facet Dianchen Lu
Tingting Chen
Baojian Hong
author_sort Dianchen Lu
title Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
title_short Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
title_full Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
title_fullStr Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
title_full_unstemmed Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients
title_sort homotopic approximate solutions for the perturbed ckdv equation with variable coefficients
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
description 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 εun are also induced.
url http://dx.doi.org/10.1155/2014/593642
work_keys_str_mv AT dianchenlu homotopicapproximatesolutionsfortheperturbedckdvequationwithvariablecoefficients
AT tingtingchen homotopicapproximatesolutionsfortheperturbedckdvequationwithvariablecoefficients
AT baojianhong homotopicapproximatesolutionsfortheperturbedckdvequationwithvariablecoefficients
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