Results 31 to 40 of about 9,582 (250)

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

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

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

Unification of all hyperbolic tangent function methods

open access: yesOpen 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   +2 more
doaj   +1 more source

A Tanh Control Method for the Third Mirror’s Z Axis of Large Optical Telescope

open access: yesIEEE Access, 2023
The position accuracy of the third mirror’s Z axis will directly affect the measurement accuracy of the optical telescope, so it is necessary to improve the position accuracy. In order to improve the control performances of the third mirror’
Wenlin Zhou   +6 more
doaj   +1 more source

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

open access: yesAlexandria 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   +1 more
doaj   +1 more source

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

open access: yesAlexandria 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   +2 more
doaj   +1 more source

Another Robust NMF: Rethinking the Hyperbolic Tangent Function and Locality Constraint

open access: yesIEEE Access, 2019
Non-negative matrix factorization (NMF) is a classical data analysis tool for clustering tasks. It usually considers the squared loss to measure the reconstruction error, thus it is sensitive to the presence of outliers. Looking into the literature, most
Xingyu Shen   +4 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

open access: yesAlexandria 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   +3 more
doaj   +1 more source

Two New Applications of the Modified Extended Tanh-Function Method

open access: yesZeitschrift 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   +3 more
openaire   +1 more source

Analysis of Efficient and Fast Prediction Method for the Kinematics Solution of the Steel Bar Grinding Robot

open access: yesApplied Sciences, 2023
Aiming at the robotization of the grinding process in the steel bar finishing process, the steel bar grinding robot can achieve the goal of fast, efficient, and accurate online grinding operation, a multi-layer forward propagating deep neural network ...
Wei Shi   +7 more
doaj   +1 more source

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