Double Exp-Function Method for Multisoliton Solutions of The Tzitzeica-Dodd-Bullough Equation

ESEN A., YAĞMURLU N. M., TASBOZAN O.

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, cilt.32, sa.2, ss.461-468, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s10255-016-0572-y
  • Dergi Adı: ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.461-468
  • Anahtar Kelimeler: double exp-function method, one-soliton, two-soliton, Tzitzeica-Dodd-Bullough equation, solitary waves, TRAVELING-WAVE SOLUTIONS, NONLINEAR EVOLUTION, (G'/G)-EXPANSION METHOD, ASYMPTOTIC METHODS, TRANSFORMATION
  • İnönü Üniversitesi Adresli: Evet

Özet

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.

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