Results 41 to 50 of about 496 (193)

Optical solitons of the Kudryashov Equation via an analytical technique [PDF]

, 2022
Some new optical solitons find for the Kudryashov equation (KE) in this study. These solutions are in the form of dark, bright, singular, singular-dark solitons and other solutions with certain conditions.
Bayram, Mustafa, Tala Tebue, Eric, Raheel, Muhammad, İnç, Mustafa   +3 more
core   +1 more source

SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]

, 2021
In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional
Ahmad, Hijaz, Gaber, Ahmed
core   +1 more source

Abundant stable novel solutions of fractional-order epidemic model along with saturated treatment and disease transmission

Open Physics, 2022
This article proposes and analyzes a fractional-order susceptible, infectious, susceptible (SIS) epidemic model with saturated treatment and disease transmission by employing four recent analytical techniques along with a novel fractional operator.
Khater Mostafa M. A., Lu Dianchen, Salama Samir A.   +2 more
doaj   +1 more source

Diversity of wave structures to the conformable fractional dynamical model

Journal of Ocean Engineering and Science, 2023
This manuscript examines the recently developed conformable three-dimensional Wazwaz–Benjamin–Bona–Mahony (3D-WBBM) equation’s dynamical behavior in terms of its spatial and temporal variables.
U. Younas, J. Ren
doaj   +1 more source

Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model

Journal of Ocean Engineering and Science, 2022
In this article, semi-analytical and numerical simulations of the well-known modified Benjamin–Bona–Mahony (mBBM) equation are processed. This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been ...
Mostafa M.A. Khater, Samir A. Salama
doaj   +1 more source

Multi–solitons, lumps, and breath solutions of the water wave propagation with surface tension via four recent computational schemes

Ain Shams Engineering Journal, 2021
This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater, Mustafa Inc, K.S. Nisar, Raghda A.M. Attia   +3 more
doaj   +1 more source

Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations

Nonlinear Engineering, 2021
In this paper, we investigate the effect of white noise on conformable time and space fractional KdV and BBM equations. For this purpose, we convert these equations with external noise to homogeneous conformable time and space fractional KdV and BBM ...
Pedram Leila, Rostamy Davoud
doaj   +1 more source

Finding exact solutions for selected nonlinear evolution differential equations [PDF]

, 2023
Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important.
Mohammed, Mayada G.., Strunin, Dmitry V., Bhanot, Rajeev P.   +2 more
core   +1 more source

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

Alexandria 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, Afaf Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +1 more source

Solving fractional nonlinear partial differential equations by the modified Kudryashov method

Journal of Physics: Conference Series, 2019
Abstract There are more and more methods for transforming nonlinear partial differential equations into ordinary differential equations by using the traveling wave transform. In this paper, the modified Kudryashov method is used to use the new traveling wave transform, and the exact solution of the space-time fractional equal-width ...
Menghan Hao, Yanni Zhang, Jing Pang
openaire   +1 more source