Triki–Biswas model: Its symmetry reduction, Nucci’s reduction and conservation laws-Reference-Cited by-同舟云学术

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

Published:2022-10-05 Issue:07 Volume:37 Page:
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

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

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979223500637

Reference47 articles.

1. A new conservation theorem

2. Conservation laws for a class of soil water equations

3. On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky–Konopelchenko equation in wave propagation

4. Group Invariant Solutions and Conservation Laws of the Fornberg– Whitham Equation

5. Motion through a non-homogeneous porous medium: Hydrodynamic permeability of a membrane composed of cylindrical particles

Cited by 49 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Schrödinger-Hirota equation in birefringent fibers with cubic-quantic nonlinearity and multiplicative white noise in the ito sense: Nucci’s reductions and soliton solutions;Physica Scripta;2024-08-16

2. Exploring the impact of multiplicative white noise on novel soliton solutions with the perturbed Triki–Biswas equation;The European Physical Journal Plus;2024-07-25

3. Soliton solutions and sensitive analysis to nonlinear wave model arising in optics;Physica Scripta;2024-07-17

4. Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis;Partial Differential Equations in Applied Mathematics;2024-06

5. Stochastic wave solutions of fractional Radhakrishnan–Kundu–Lakshmanan equation arising in optical fibers with their sensitivity analysis;Journal of Optics;2024-05-28