Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method

Muhammet Kurulay

doi:10.1186/1687-1847-2012-178

Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method

Muhammet Kurulay^*

^*Corresponding author for this work

Yildiz Technical University

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

In this paper, we applied the homotopy analysis method (HAM) to solve the modified Kawahara equation. Numerical results demonstrate that the methods provide efficient approaches to solving the modified Kawahara equation. It is shown that the method, with the help of symbolic computation, is very effective and powerful for discrete nonlinear evolution equations in mathematical physics.

Original language	English
Article number	178
Journal	Advances in Difference Equations
Volume	2012
DOIs	https://doi.org/10.1186/1687-1847-2012-178
Publication status	Published - 2012
Externally published	Yes

Keywords

homotopy analysis method
the modified Kawahara equation

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10.1186/1687-1847-2012-178

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abstract = "In this paper, we applied the homotopy analysis method (HAM) to solve the modified Kawahara equation. Numerical results demonstrate that the methods provide efficient approaches to solving the modified Kawahara equation. It is shown that the method, with the help of symbolic computation, is very effective and powerful for discrete nonlinear evolution equations in mathematical physics.",

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AB - In this paper, we applied the homotopy analysis method (HAM) to solve the modified Kawahara equation. Numerical results demonstrate that the methods provide efficient approaches to solving the modified Kawahara equation. It is shown that the method, with the help of symbolic computation, is very effective and powerful for discrete nonlinear evolution equations in mathematical physics.

KW - homotopy analysis method

KW - the modified Kawahara equation

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U2 - 10.1186/1687-1847-2012-178

DO - 10.1186/1687-1847-2012-178

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AN - SCOPUS:84873365249

SN - 1687-1839

VL - 2012

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 178

ER -

Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method

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Keywords

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