Results 31 to 40 of about 3,294 (150)

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

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

Lagrangian Formulation, Conservation Laws, Travelling Wave Solutions: A Generalized Benney-Luke Equation

Mathematics, 2021
The aim of this paper is to find the Noether symmetries of a generalized Benney-Luke equation. Thereafter, we construct the associated conserved vectors.
Sivenathi Oscar Mbusi, Ben Muatjetjeja, Abdullahi Rashid Adem   +2 more
doaj   +1 more source

Modified extended tanh-function method and its applications to the Bogoyavlenskii equation

Applied Mathematical Modelling, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emad H.M. Zahran, Mostafa M.A. Khater
openaire   +2 more sources

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

Novel soliton solutions and localized structures of KdV equation

Results in Physics, 2023
A (1 + 1)-dimensional Korteweg-de Vries (KdV) equation is studied. Using the extended Tanh-function method, the analytical soliton solutions are obtained by symbolic calculation, and the localized coherent structures containing the compacton, the peakon,
Shaofu Wang
doaj   +1 more source

On some new soliton solutions of (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation using two different methods

Arab Journal of Basic and Applied Sciences, 2021
In this article, a new solution for the dimensions Boiti–Leon–Manna–Pempinelli (BLMP) equation using the sine Gordon expansion method and the extended tanh function method is given.
Khalid K. Ali, M. S. Mehanna
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

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

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