Double exp-function method for multisoliton solutions of the Tzitzeica-Dodd-Bullough equation


ESEN A., YAĞMURLU N. M., Tasbozan O.

Acta Mathematicae Applicatae Sinica, vol.32, no.2, pp.461-468, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1007/s10255-016-0572-y
  • Journal Name: Acta Mathematicae Applicatae Sinica
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.461-468
  • Keywords: double exp-function method, one-soliton, solitary waves, two-soliton, Tzitzeica-Dodd-Bullough equation
  • Hatay Mustafa Kemal University Affiliated: No

Abstract

In this work, it is aimed to find one- and two-soliton solutions to nonlinear Tzitzeica-Dodd-Bullough (TDB) equation. Since the double exp-function method has been widely used to solve several nonlinear evolution equations in mathematical physics, we have also used it with the help of symbolic computation for solving the present equation. The method seems to be easier and more accurate thanks to the recent developments in the field of symbolic computation.