Acquiring the solitons of inhomogeneous Murnaghan's rod using extended Kudryashov method with Bernoulli-Riccati approach


ÖZIŞIK M., Secer A., Bayram M., Sulaiman T. A. , Yusuf A.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1142/s0217979222502216
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Murnaghan's rod, extended Kudryashov method, Bernoulli-Riccati equation, soliton, NONLINEAR EVOLUTION-EQUATIONS, VARIATIONAL ITERATION METHOD, SOLITARY, COMPLEX

Abstract

In this scientific work, we explore the solutions of an important mathematical model appearing in the nonlinear elastic inhomogeneous Murnaghan's rod (NEIMR) or called doubly dispersive equation (DDE) with a useful and powerful analytical technique; which is the extended Kudryashov method with the Bernoulli-Riccati approach. In our research, we have successfully obtained some important solutions of the above-mentioned model such as topological, nontopological, singular solitons, singular periodic and rational solutions. Using the appropriate values of the parameters, we clearly plotted the solutions of the model, 3D, 2D and contour plots. We think that the method used in the study and the results obtained will be an effective motivation tool for many researchers doing research in this field.