Results 1 to 10 of about 3,363 (248)

Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method

Alexandria Engineering Journal, 2022
In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed, Afaf A.S. Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +2 more sources

Solitary Wave Solutions to a Fractional Model Using the Improved Modified Extended Tanh-Function Method

Fractal and Fractional, 2023
Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a variety of phenomena arisen in several disciplines such as applied mathematics, engineering, physics, and a wide range of other applications.
Mohammed Bakheet Almatrafi
doaj   +2 more sources

Be careful with variable separation solutions via the extended tanh-function method and periodic wave structures

Nonlinear Analysis, 2015
We analyze the extended tanh-function method to realize variable separation, however, we find that various "different" solutions obtained by this method are seriously equivalent to the general solution derived by the multilinear variable separation ...
Chaoqing Dai, Qin Liu
doaj   +3 more sources

On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity. [PDF]

Sci Rep
This study examines the pure-cubic nonlinear Schrödinger equation associated with Kerr-type optical responses and formulates an integrated analytical–computational strategy for exploring its nonlinear wave behavior.
Tariq KU, Khan R, Alsharidi AK, Almusallam N.   +3 more
europepmc   +2 more sources

The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations

Results in Physics, 2022
The improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons,
Abdulla – Al – Mamun, Samsun Nahar Ananna, Partha Protim Gharami, Tianqing An, Md. Asaduzzaman   +4 more
doaj   +3 more sources

Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method. [PDF]

Sci Rep
This study investigates solitary wave solutions of the three-dimensional, time-dependent nonlinear Schrödinger equation with cubic–quintic effects and a generalized Kudryashov-type self-phase modulation term.
Tarek A, Ahmed HM, Badra N, Samir I.
europepmc   +2 more sources

Novel analytical solutions of stochastic Ginzburg-Landau equation driven by Wiener process via the improved modified extended tanh function method

Alexandria Engineering Journal, 2023
In this manuscript, the improved modified extended tanh integration technique is implemented to investigate the exact solutions of stochastic Ginzburg–Landau model driven by Wiener process which appeared in various fields of chemistry, mathematics and ...
Yazid Alhojilan, Hamdy M. Ahmed
doaj   +2 more sources

Analytical construction and visualization of nonlinear waves in the (2+1) dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with stability analysis. [PDF]

Sci Rep
In this study, we investigate the (2+1)-dimensional Kadomtsev–Petviashvili–Sawada–Kotera–Ramani (KPSKR) equation, a physically significant model describing nonlinear wave phenomena in higher-dimensional spaces.
Ahmed M, Ahmed HM, Badra N, Samir I.
europepmc   +2 more sources

Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method

Ain Shams Engineering Journal
In this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the
Hisham H. Hussein, Hamdy M. Ahmed, Wassim Alexan   +2 more
doaj   +2 more sources

Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method

Mathematics, 2022
Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying the improved modified extended tanh-function method, many soliton solutions can be obtained such as bright soliton ...
Karim K. Ahmed, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie   +3 more
doaj   +2 more sources