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^*

^*Bu çalışma için yazışmadan sorumlu yazar

Yildiz Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

21 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	178
Dergi	Advances in Difference Equations
Hacim	2012
DOI'lar	https://doi.org/10.1186/1687-1847-2012-178
Yayın durumu	Yayınlandı - 2012
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1186/1687-1847-2012-178

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Alıntı Yap

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title = "Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method",

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.",

keywords = "homotopy analysis method, the modified Kawahara equation",

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journal = "Advances in Difference Equations",

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AU - Kurulay, Muhammet

PY - 2012

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/84873365249

U2 - 10.1186/1687-1847-2012-178

DO - 10.1186/1687-1847-2012-178

M3 - Article

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

Özet

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