Analytical study of nonlinear water wave equations for their fractional solution structures-Reference-Cited by-同舟云学术

Analytical study of nonlinear water wave equations for their fractional solution structures

Published:2022-05-20 Issue:14 Volume:36 Page:
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Zafar Asim¹,Inc Mustafa²³⁴^ORCID,Shakeel Muhammad¹,Mohsin Muhammad¹

Affiliation:

1. Department of Mathematics, COMSATS University, Vehari Campus, Pakistan

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

3. Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey

4. Department of Medical Research, China Medical University Taichung, Taiwan

Abstract

This paper examines the three-dimensional nonlinear time-fractional water wave equations for their analytical wave solutions. These are the equations of the names [Formula: see text]-Zakharov–Kuznetsov–Burgers equation and [Formula: see text]-Yu–Toda–Sasa–Fukuyama equation. The obtained wave solutions are in the form of kink, periodic and singular waves by utilizing the [Formula: see text]-expansion approach. The aforesaid solutions are verified and demonstrated graphically via symbolic soft computations.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984922500713

Reference40 articles.

1. Meromorphic solutions of some algebraic differential equations related Painlevé equation IV and its applications

2. Characterizations of all real solutions for the KdV equation and WR

3. A new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equation

4. General Soliton Solutions of ann-Dimensional Complex Ginzburg–Landau Equation

Cited by 6 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. A study of novel optical solutions of the space-time fractional cubic nonlinear Schrödinger equation;Optical and Quantum Electronics;2023-12-16

2. Construction of diverse water wave structures for coupled nonlinear fractional Drinfel’d-Sokolov-Wilson model with Beta derivative and its modulus instability;Scientific Reports;2023-10-16

3. Dynamical study of a time fractional nonlinear Schrödinger model in optical fibers;Optical and Quantum Electronics;2023-09-15

4. Solitary wave solutions of Camassa–Holm and Degasperis–Procesi equations with Atangana’s conformable derivative;Computational and Applied Mathematics;2023-02-28

5. Study of optical solitons for Kudryashov’s Quintuple power-law with dual form of nonlinearity using two modified techniques;Optik;2023-02