Results 31 to 40 of about 1,533 (240)

Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations

Mathematics, 2022
In order to construct the multiple traveling wave solutions of the nonlocal modified Korteweg de Vires (mKdV) equation, the modified tanh-function approach for local soliton equations is extended to a nonlocal complex mKdV equation.
Xiaodong Wang, Jianping Wu, Yazi Wang, Can Chen   +3 more
doaj   +1 more source

The Solitary Travelling Wave Solutions of Some Nonlinear Partial Differential Equations Using the Modified Extended Tanh Function Method with Riccati Equation

Asian Research Journal of Mathematics, 2018
Mahmoud El‐Horbaty, Fawad Ahmed
openalex   +2 more sources

Bifurcation and solitary wave solutions of a time-dependent paraxial equation using improved modified extended tanh function method

AIMS Mathematics
Arooma Zainab, Muhammad Abbas, Yagoub. A. S. Arko, Alina Alb Lupaş, Tahir Nazir, Muhammad Zain Yousaf   +5 more
openalex   +2 more sources

Construction of solitons and other solutions for NLSE with Kudryashov’s generalized nonlinear refractive index

Alexandria Engineering Journal, 2023
In our study we implement an improved modified extended tanh-function (IMETF) method for constructing new solitons and other types of solutions with NLSE having Kudryashov’s generalized nonlinear refractive index.
Manar Ahmed, Afaf Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +1 more source

Constructions of the soliton solutions to coupled nonlinear Schrödinger equation with advanced mathematical techniques

AIP Advances, 2023
In our research paper, we explore the application of mathematical techniques, both analytical and numerical, to solve the coupled nonlinear Schrödinger equation.
Taghread Ghannam Alharbi, Abdulghani Alharbi   +1 more
doaj   +1 more source

A Study of Traveling Wave Structures and Numerical Investigations into the Coupled Nonlinear Schrödinger Equation Using Advanced Mathematical Techniques

Mathematics, 2023
This article explores adapted mathematical methods to solve the coupled nonlinear Schrödinger (C-NLS) equation through analytical and numerical methods.
Taghread Ghannam Alharbi, Abdulghani Alharbi   +1 more
doaj   +1 more source

Constructing new solitary wave solutions to the strain wave model in micro-structured solids

Alexandria Engineering Journal, 2022
In the present article, the improved modified extended tanh function method is implemented to investigate the strain wave model which governs the wave propagation in micro-structured solids.
Taher A. Nofal, Islam Samir, Niveen Badra, Adel Darwish, Hamdy M. Ahmed, Ahmed H. Arnous   +5 more
doaj   +1 more source

New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

Journal of Ocean Engineering and Science, 2023
The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques. The adopted methods are generalized Kudryashov method (GKM), exponential rational function method (ERFM), and ...
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Fractional-stochastic shallow water equations and its analytical solutions

Results in Physics, 2023
In this paper, the stochastic shallow water wave equation with M-Truncated derivative is taken into account. New rational, trigonometric and hyperbolic solutions are produced using the He’s semi-inverse method and modified extended tanh-function method ...
Amjad E. Hamza, Mohammad Alshammari, D. Atta, Wael W. Mohammed   +3 more
doaj   +1 more source

Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics

Heliyon, 2021
In this current study, we described a modified extended tanh-function (mETF) method to find the new and efficient exact travelling and solitary wave solutions to the modified Liouville equation and modified regularized long wave (mRLW) equation in water ...
Abdulla - Al Mamun, Samsun Nahar Ananna, Tianqing An, Nur Hasan Mahmud Shahen, Md. Asaduzzaman, Foyjonnesa   +5 more
doaj   +1 more source