New analytic approximate solutions to the generalized regularized long wave equations

Bildik N., Deniz S.

Bulletin of the Korean Mathematical Society, vol.55, no.3, pp.749-762, 2018 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.4134/bkms.b170221
  • Journal Name: Bulletin of the Korean Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.749-762
  • Keywords: Optimal perturbation iteration method, Partial differential equations, Regularized long wave equations, Solitons
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.