Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications


Ozkan Y. S. , YAŞAR E.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1515/ijnsns-2021-0016
  • Journal Name: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: extended (G '/G)-expansion method, ITEM, simplest equation method, van der Waals equation, RIEMANN-HILBERT APPROACH, DE-VRIES EQUATION, WAALS NORMAL-FORM, OPTICAL SOLITONS
  • Bursa Uludag University Affiliated: Yes

Abstract

The improved tan(phi/2)-expansion, simplest equation, and extended (G'/G)-expansion methods are employed to construct the exact solutions involving parameters of the Van der Waals equation arising in the material industry. This model explains the phase separation phenomenon. Understanding the prominent dynamic and static properties of this model and other models of this type is of great importance for the physical phenomena encountered in many areas of industry. Therefore, for such models, it is also important to obtain guiding solutions in obtaining new information. Many explicit wave solutions consisting of trigonometric, hyperbolic, rational, and exponential functions are found by using analytical techniques. The obtained solutions were verified with Maple by placing them back into the original equations. Moreover, graphical demonstrations for some of the obtained solutions are given.