Triki-Biswas model: Its symmetry reduction, Nucci's reduction and conservation laws

Akbulut A., Mirzazadeh M., Hashemi M. S., Hosseini K., Salahshour S., Park C.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, vol.37, no.7, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 7
  • Publication Date: 2023
  • Doi Number: 10.1142/s0217979223500637
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Triki-Biswas equation, Nucci's reduction method, symmetry reduction method, new conservation theorem, exact solutions, conservation laws, DIFFERENTIAL-EQUATIONS, INVARIANT SOLUTIONS, SOLITONS
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, the symmetry reduction method and Nucci's reduction method are used to obtain exact solutions to the Triki-Biswas equation. Furthermore, the new conservation theorem is utilized for finding the conservation laws of the given model. The conservation laws are derived for each admitted symmetry of the Triki-Biswas equation and satisfy the divergence condition. The 3D, contour and 2D figures are finally plotted to show the dynamics of the obtained exact solutions.