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 ap...

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Bibliographic Details
Published inTheScientificWorld Vol. 2014; no. 2014; pp. 1 - 5
Main Authors Lu, Dianchen, Hong, Baojian, Chen, Tingting
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2014
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Approximation theory
Differential equations, Partial
Finite element analysis
Fluid mechanics
Heuristic
Homotopy theory
Mathematical research
Partial differential equations
Perturbation (Mathematics)
Quantum field theory
Studies
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Summary: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 ε u n are also induced.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Academic Editors: T. Fang and X. Jing
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/593642