Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrodinger-KdV equation

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12 Citations (Scopus)

Abstract

In this paper, we apply the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the coupled Schrodinger-KdV equation. The results show that HAM is a very efficient method and that HPM is a special case of HAM.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalJournal of Applied Mathematics and Computing
Volume31
Issue number1-2
DOIs
Publication statusPublished - Sep 2009

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Schrodinger equation
Schrodinger Equation
Homotopy Analysis Method
Homotopy Perturbation Method
KdV Equation
Analytical Solution

Keywords

  • Analytical solution
  • Coupled Schrodinger-kdv equation
  • Homotopy analysis method
  • Homotopy perturbation method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

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abstract = "In this paper, we apply the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the coupled Schrodinger-KdV equation. The results show that HAM is a very efficient method and that HPM is a special case of HAM.",
keywords = "Analytical solution, Coupled Schrodinger-kdv equation, Homotopy analysis method, Homotopy perturbation method",
author = "Alomari, {A. K.} and {Md. Noorani}, {Mohd. Salmi} and {Mohd. Nazar}, Roslinda",
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AU - Alomari, A. K.

AU - Md. Noorani, Mohd. Salmi

AU - Mohd. Nazar, Roslinda

PY - 2009/9

Y1 - 2009/9

N2 - In this paper, we apply the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the coupled Schrodinger-KdV equation. The results show that HAM is a very efficient method and that HPM is a special case of HAM.

AB - In this paper, we apply the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) to obtain approximate analytical solutions of the coupled Schrodinger-KdV equation. The results show that HAM is a very efficient method and that HPM is a special case of HAM.

KW - Analytical solution

KW - Coupled Schrodinger-kdv equation

KW - Homotopy analysis method

KW - Homotopy perturbation method

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