New analytic approximate solutions to the generalized regularized long wave equations

Bildik N., Deniz S.

Bulletin of the Korean Mathematical Society, cilt.55, sa.3, ss.749-762, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.4134/bkms.b170221
  • Dergi Adı: Bulletin of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.749-762
  • Anahtar Kelimeler: Optimal perturbation iteration method, Partial differential equations, Regularized long wave equations, Solitons
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, the new optimal perturbation iteration method has been applied to solve the generalized regularized long wave equation. Comparing the new analytic approximate solutions with the known exact solutions reveals that the proposed technique is extremely accurate and effective in solving nonlinear wave equations. We also show that, un like many other methods in literature, this method converges rapidly to exact solutions at lower order of approximations.