Results 1 to 10 of about 3,515 (147)

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

Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

Nonlinear Engineering, 2021
In this work, we study the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation. We employ the extended tanh function method and the simple equation method to achieve analytical soliton solutions.
Ali Khalid K., Mehanna Mona S., Wazwaz Abdul-Majid   +2 more
doaj   +1 more source

Improved (G′/G)-expansion and extended tanh methods for (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation

Alexandria Engineering Journal, 2015
Traveling wave solutions of nonlinear (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation are constructed by using improved (G′/G)-expansion and extended tanh-function methods. We demonstrate that some of the obtained exact solutions of these two
Muhammad Shakeel, Syed Tauseef Mohyud-Din   +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

Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations

Universal Journal of Mathematics and Applications, 2018
In this paper, we implemented an improved tanh function Method for multiple soliton solutions of new coupled Konno-Oono equation and extended (3+1)-dimensional KdV-type equation.
İbrahim Enam İnan
doaj   +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

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

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

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

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