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

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Kurulay M.

ADVANCES IN DIFFERENCE EQUATIONS, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1186/1687-1847-2012-178
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: the modified Kawahara equation, homotopy analysis method, PERTURBATION METHOD, DIFFERENTIAL-EQUATIONS, SMALL PARAMETERS
  • Yıldız Teknik Üniversitesi Adresli: Evet

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.