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On the solution of the nonlinear Korteweg–de Vries equation by the homotopy perturbation method

✍ Scribed by Yildirim, Ahmet

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
79 KB
Volume
25
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

In this paper, the homotopy perturbation method is used to implement the nonlinear Korteweg–de Vries equation. The analytical solution of the equation is calculated in the form of a convergent power series with easily computable components. A suitable choice of an initial solution can lead to the needed exact solution by a few iterations. Copyright © 2008 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Large Time Asymptotics of Solutions to t
Large Time Asymptotics of Solutions to the Generalized Korteweg–de Vries Equation
✍ Nakao Hayashi; Pavel I. Naumkin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 389 KB

We study the asymptotic behavior for large time of solutions to the Cauchy problem for the generalized Korteweg de Vries (gKdV) equation u t + ( |u| \&1 u) x + 1 3 u xxx =0, where x, t # R when the initial data are small enough. If the power \ of the nonlinearity is greater than 3 then the solution