Applications of the extended rational sine-cosine and sinh-cosh techniques to some nonlinear complex models arising in mathematical physics-Reference-Cited by-同舟云学术

Applications of the extended rational sine-cosine and sinh-cosh techniques to some nonlinear complex models arising in mathematical physics

Published:2021-04-06 Issue:2 Volume:6 Page:19-30
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Akkılıc Ayse Nur¹,Sulaiman Tukur Abdulkadir²,Bulut Hasan¹³

Affiliation:

1. Firat University , Faculty of Science , Elazig , Turkey

2. Department of Computer Engineering , Biruni University , Istanbul , Turkey

3. Final International University , Faculty of Education , Kyrenia , Cyprus

Abstract

Abstract This study presents the applications of the extended rational sine-cosine/sinh-cosh schemes to the Klein-Gordon-Zakharov equations and the (2+1)-dimensional Maccari system. Various wave solutions such as singular periodic, periodic wave, topological, topological kink-type, dark and singular soliton solutions are successfully revealed. To display the physical features of the reported solutions, we use some appropriate choice of parameters in plotting the 3D, 2D, and contour graphs of some attained solutions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2021.1.00021

Reference44 articles.

1. G. Wang and T. Xu, Optical soliton of time fractional Schrödinger equations with He's semi-inverse method, Laser Phys., 25 (2015) 055402

2. A.H. Bhrawy, E.H. Doha, S.S. Ezz-Eldien and R.A. Van Gorder, A new Jacobi spectral collocation method for solving 1+1 fractional Schrödinger equations and fractional coupled Schrödinger systems, The European Physical Journal Plus, 129 (2014) 260

3. H. Zhen, B. Tian, Y. Wang, H. Zhong and W. Sun, Dynamic behavior of the quantum Zakharov-Kuznetsov equations in dense quantum magnetoplasmas, Physics of Plasmas, 21 (2014), 012304.

4. X.J. Yang, F. Gao and H.M. Srivastava, Exact Travelling Wave solutions for the Local Fractional Two-Dimensional Burgers-Type Equations, Computers and Mathematics with Applications, 73(2) (2017), 203–210.

5. C.T. Sindi and J. Manafian, Soliton Solutions of the Quantum Zakharov-Kuznetsov Equation Which Arises in Quantum Magneto-Plasmas, Eur. Phys. J. Plus, 132(67) (2017), DOI 10.1140/epjp/i2017-11354-7.

Cited by 11 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. Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM;Nonlinear Dynamics;2024-07-08

2. Diversity of solitonic wave structures to the M‐truncated dynamical system in ultrasound imaging;Mathematical Methods in the Applied Sciences;2024-06-05

3. Dynamic behaviour and semi-analytical solution of nonlinear fractional-order Kuramoto–Sivashinsky equation;Pramana;2024-03-26

4. Effects of Wiener process on analytical wave solutions for (3+1) dimensional nonlinear Schrödinger equation using modified extended mapping method;Results in Physics;2024-01

5. On the implementation of fractional homotopy perturbation transform method to the Emden–Fowler equations;Pramana;2023-08-07