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

open access: goldFractal 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   +3 more sources

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

open access: goldAlexandria 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   +2 more
doaj   +3 more sources

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

open access: goldAlexandria 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   +3 more sources

Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method [PDF]

open access: goldScientific Reports
In this work, a sixth–order extension of the nonlinear Schrödinger equation (NLSE) within its integrable hierarchy is investigated to model higher–order nonlinear and dispersive effects relevant to optical fiber systems and nonlinear wave propagation. By
Mina M. Fahim   +3 more
doaj   +4 more sources

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

open access: goldScientific Reports
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.
Amany Tarek   +3 more
doaj   +4 more sources

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

open access: goldAlexandria 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   +3 more sources

Construction of new solitons and other wave solutions for a concatenation model using modified extended tanh-function method

open access: goldAlexandria Engineering Journal, 2023
In this work, we consider a concatenation model that is a concatenated version of the familiar nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel equation and the Sasa–Satsuma equation.
Wafaa B. Rabie   +3 more
doaj   +3 more sources

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

open access: goldAin Shams Engineering Journal, 2023
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   +2 more
doaj   +3 more sources

Extraction of solitons in multimode fiber for CHNLSEs using improved modified extended tanh function method

open access: goldAlexandria Engineering Journal
The coupled higher-order nonlinear Schrödinger equations (CHNLSEs) are investigated in this paper. This model mimic the actuation of the solitons through multimode fibers.
Ola El-Shamy   +4 more
doaj   +3 more sources

Structures solitons in birefringent fibers with Kerr and non-local laws of refractive index using improved modified extended tanh-function method

open access: goldResults in Physics, 2022
In this article, the improved modified extended tanh-function method is used to construct new structure of highly dispersive optical solitons for nonlinear Schrödinger equation in birefringent fibers with Kerr law and non-local law of refractive index ...
Hanaa A. Eldidamony   +4 more
doaj   +3 more sources

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