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, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • 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.