Triki–Biswas model: Its symmetry reduction, Nucci’s reduction and conservation laws

Author:

Akbulut A.1,Mirzazadeh M.2,Hashemi M. S.3,Hosseini K.45,Salahshour S.56,Park C.7

Affiliation:

1. Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Bursa, Turkey

2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran

3. Department of Mathematics, Basic Science Faculty, University of Bonab, P. O. Box 55513-95133, Bonab, Iran

4. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

5. Department of Mathematics, Near East University TRNC, Mersin, Turkey

6. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

7. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, South Korea

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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