Results 11 to 20 of about 3,384 (261)

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

Exact Solutions and Non-Traveling Wave Solutions of the (2+1)-Dimensional Boussinesq Equation

Mathematics, 2022
By the extended (G′G) method and the improved tanh function method, the exact solutions of the (2+1) dimensional Boussinesq equation are studied. Firstly, with the help of the solutions of the nonlinear ordinary differential equation, we obtain the new ...
Lihui Gao, Chunxiao Guo, Yanfeng Guo, Donglong Li   +3 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

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

Derivation of new optical solitons for Biswas-Milovic equation with dual-power law nonlinearity using improved modified extended tanh-function method

Alexandria Engineering Journal, 2023
Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty, Niveen M. Badra, Hamdy M. Ahmed, Ahmed M. Elsherbeny   +3 more
doaj   +1 more source

An Improved Modified Extended tanh-Function Method

Zeitschrift für Naturforschung A, 2006
In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include
Zonghang Yang, Benny Y. C. Hon
openaire   +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

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