Results 11 to 20 of about 3,515 (147)

Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations

open access: yesMathematics, 2022
In order to construct the multiple traveling wave solutions of the nonlocal modified Korteweg de Vires (mKdV) equation, the modified tanh-function approach for local soliton equations is extended to a nonlocal complex mKdV equation.
Xiaodong Wang   +3 more
doaj   +4 more sources

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

open access: yesAlexandria 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   +4 more sources

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

open access: yesFractal 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   +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: yesScientific 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

An Improved Modified Extended tanh-Function Method

open access: yesZeitschrift 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   +3 more sources

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

open access: yesNonlinear 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

Modified extended tanh-function method and its applications to the Bogoyavlenskii equation

open access: yesApplied Mathematical Modelling, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emad H.M. Zahran, Mostafa M.A. Khater
openaire   +4 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: 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   +3 more sources

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

open access: yesResults 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   +4 more
doaj   +3 more sources

Exploration of new solitons in optical medium with higher-order dispersive and nonlinear effects via improved modified extended tanh function method

open access: yesAlexandria Engineering Journal, 2023
Throughout this article, the improved modified extended tanh function method is presented for deriving fresh travelling wave alternative solutions in different forms of nonlinear Schrödinger equation (NLSE) with higher-order dispersive and nonlinear ...
Ola El-shamy   +4 more
doaj   +3 more sources

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