Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(3): 749-762

Online first article January 12, 2018      Printed May 31, 2018

https://doi.org/10.4134/BKMS.b170221

Copyright © The Korean Mathematical Society.

New analytic approximate solutions to the generalized regularized long wave equations

Necdet Bildik, Sinan Deniz

Manisa Celal Bayar University, Manisa Celal Bayar University

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,unlike many other methods in literature, this method converges rapidly to exact solutions at lower order of approximations.

Keywords: optimal perturbation iteration method, partial differential equations, regularized long wave equations, solitons

MSC numbers: 70K60, 65N99, 33E15, 35C08