New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method

Dusunceli F., Celik E., Askin M., Bulut H.

INDIAN JOURNAL OF PHYSICS, cilt.95, sa.2, ss.309-314, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 95 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s12648-020-01707-5
  • Dergi Adı: INDIAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.309-314
  • Anahtar Kelimeler: Doubly dispersive equation, Improved Bernoulli sub-equation function method, Singular soliton solutions, Travelling wave solutions, 02, 60, Lj, 02, 70, -c, 02, 90, +p, NUMERICAL-METHOD
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this study, the doubly dispersive equation is presented by the application of the improved Bernoulli sub-equation function method (IBSEFM). The doubly dispersive equation which is a nonlinear partial differential equation is transformed into nonlinear ordinary differential equation using a wave transformation and then is solved by IBSEFM. Some new solutions are successfully constructed. All the obtained solutions in this study have been satisfied the doubly dispersive equation. In the present study, we have used Wolfram Mathematica 9 software for all of the computations and graphic plottings.