Results 31 to 40 of about 1,537 (209)

Two New Applications of the Modified Extended Tanh-Function Method

Zeitschrift für Naturforschung A, 2003
Based on a modified extended tanh-function method and symbolic computation, new exact solutions are found for a soliton breaking equation and coupled kdv system. The obtained solutions include rational, soliton, singular and periodical solutions.
S. A. Elwakil, S. K. El-labany, M. A. Zahran, R. Sabry   +3 more
openaire   +1 more source

Optical solutions and other solutions for Radhakrishnan-Kundu-Laksmannan equation by using improved modified extended tanh-function method [PDF]

, 2021
Abstract This paper studies Radhakrishnan-Kundu-Laksmannan equation which is used to describe the pulse propagation in optical fiber communications. By using improved modified extended tanh-function method various types of solutions are extracted such as bright solitons, singular solitons, singular periodic wave solutions, Jacobi elliptic ...
Ahmed M. Elsherbeny, Reda El–Barkouky, Hamdy Ahmed, Rabab M. I. El-Hassani, Ahmed H. Arnous   +4 more
openaire   +1 more source

Unification of all hyperbolic tangent function methods

Open Physics, 2016
Over the last twenty years, several “different” hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs).
Gözükızıl Ömer Faruk, Akçağıl Şamil, Aydemir Tuğba   +2 more
doaj   +1 more source

Quasi hyperbolic function expansion method and tanh-function method for solving vibrating string equation and elastic rod equation

Journal of Low Frequency Noise, Vibration and Active Control, 2019
This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation.
Yi Tian
doaj   +1 more source

Soliton solutions for time fractional ocean engineering models with Beta derivative

Journal of Ocean Engineering and Science, 2022
In this study, the authors obtained the soliton and periodic wave solutions for time fractional symmetric regularized long wave equation (SRLW) and Ostrovsky equation (OE) both arising as a model in ocean engineering.
İbrahim Yalçınkaya, Hijaz Ahmad, Orkun Tasbozan, Ali Kurt   +3 more
doaj   +1 more source

Kink, periodic and solitary solutions for coupled Benjamin–Bona–Mahony–KdV system

Journal of Taibah University for Science, 2023
In this paper, exp[Formula: see text]-expansion method, modified extended tanh-function method and Kudryashov method are used to investigate the exact solutions of the coupled Benjamin–Bona–Mahony–KdV (BBM-KdV) system.
Yanzhi Ma, Zenggui Wang
doaj   +1 more source

Bifurcations, chaotic behaviour, sensitivity analysis, and diverse soliton structures for fractional nonlinear Kraenkel-Manna-Merle system adopting two techniques

Mathematical and Computer Modelling of Dynamical Systems
The generalized Riccati equation mapping method and the modified extended tanh-function are the two analytical techniques that are used to solve the nonlinear fractional-order differential equations.
Xiaoming Wang, Maham Nageen, Muhammad Abbas, Muhammad Zain Yousaf, M. R. Alharthi, Essam R. El-Zahar   +5 more
doaj   +1 more source

Three Different Methods for New Soliton Solutions of the Generalized NLS Equation

Abstract and Applied Analysis, 2017
Three different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to ...
Anwar Ja’afar Mohamad Jawad
doaj   +1 more source

Ultrawide Bandwidth Optomechanical Magnetometry Using Flux Concentration

Advanced Functional Materials, EarlyView.
High‐permeability flux concentrators enable ultrawide‐bandwidth chip‐scale optomechanical magnetometry by exploiting magnetic nonlinearity to up‐convert low‐frequency fields to the mechanical resonance, where sensitivity is optimal. This enables flat wideband operation over more than four orders of magnitude, from tens of kilohertz to sub‐hertz ...
Benjamin J. Carey, Nathaniel Bawden, Fernando Gottardo, James S. Bennett, Douglas Bulla, Scott Foster, Warwick P. Bowen   +6 more
wiley   +1 more source

Analytical investigation of space–time shifted nonlocal stochastic Sasa–Satsuma equation using the enhanced modified extended tanh-expansion method for stochastic solitary waves Solutions

Results in Physics
In this paper, discover exact solutions of the space–time shifted nonlocal stochastic Sasa–Satsuma equations using the enhanced modified extended tanh-expansion method.
Zuha Manzoor, Farrah Ashraf, Muhammad Sajid Iqbal, Ali Akgül, Md Yushalify Misro   +4 more
doaj   +1 more source