Results 21 to 30 of about 3,384 (261)
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 +2 more
doaj +1 more source
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
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 +2 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 +3 more
openaire +1 more source
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
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 +5 more
doaj +1 more source
Journal of Applied Mathematics, 2013 We study a two-dimensional integrable generalization of the Kaup-Kupershmidt equation, which arises in various problems in mathematical physics. Exact solutions are obtained using the Lie symmetry method in conjunction with the extended tanh method and ...
Abdullahi Rashid Adem +1 more
doaj +1 more source
, 2021 In this paper, we study the novel exact solutions of the (2 + 1)-dimensional Biswas-Milovic equation for the description of pulse propagation in optical fiber. We successfully constructed some important solutions, such as dark, singular, combined dark-singular soliton, singular periodic wave and rational function solutions, have been analytically ...
Cinar, Melih +5 more
openaire +3 more sources
Exact soliton solutions and stability analysis to (3 + 1)-dimensional nonlinear Schrödinger model
Alexandria Engineering Journal, 2023 In this research, a dynamical (3 + 1)-dimensional nonlinear Schrödinger model (NLSM) is under consideration which is used to model the propagation of ultra-short optical pulses in highly-nonlinear media.
Asghar Ali +3 more
doaj +1 more source