Results 41 to 50 of about 454 (184)

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

Optical soliton solutions of Schrödinger–Hirota equation with parabolic law nonlinearity via generalized Kudryashov algorithm [PDF]

, 2023
The aim of this study is to peruse the dispersive Schrödinger–Hirota equation (SH equation) with parabolic law linearity to get optical soliton solutions by utilizing the generalized Kudryashov method (GKM).
Bayram, Mustafa, Çakıcıoğlu, Hasan, Seçer, Aydın, ÖZIŞIK, Müslüm, Özışık, Müslüm, Cakicioglu, Hasan   +5 more
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New exact travelling wave solutions for space-time fractional nonlinear equations describing nonlinear transmission lines

Results in Physics, 2018
In this paper, we examines the effectiveness of newly developed algorithms called the exp(-ϕ(ξ))-expansion function method and generalized Kudryashov method for constructing new and important travelling wave solutions of space-time fractional nonlinear ...
M.A. Abdou, A.A. Soliman
doaj   +1 more source

Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method

Mathematics, 2021
This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity.
Noha M. Rasheed, Mohammed O. Al-Amr, Emad A. Az-Zo’bi, Mohammad A. Tashtoush, Lanre Akinyemi   +4 more
doaj   +1 more source

Soliton solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp(-Ω(η))-expansion function method

, 2021
This paper addresses the Heisenberg ferromagnetic spin chain equation with beta derivative. Initially, beta derivatives and their features are presented.
Demiray, S. Tuluce, Bayrakci, U.
core   +1 more source

Some analytic and series solutions of integrable generalized Broer-Kaup system

Alexandria Engineering Journal, 2022
In this article, we have updated the results obtained by Zhang et al. (2019) and derived some certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup (BK) system. First, we have shown the integrability of the model. Then,
Sandeep Malik, Sachin Kumar, Pinki Kumari, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation

Results in Physics, 2023
We investigate a generalized scale-invariant analogue of the Korteweg–de Vries (KdV) equation, establishing a connection with the recently discovered short-wave intermediate dispersive variable (SIdV) equation.
Sayed Saifullah, M.M. Alqarni, Shabir Ahmad, Dumitru Baleanu, Meraj Ali Khan, Emad E. Mahmoud   +5 more
doaj   +1 more source

Dynamics of Nonlinear Optics with Different Analytical Approaches

Fractal and Fractional, 2023
In this article, we investigate novel optical solitons solutions for the Lakshmanan–Porsezian–Daniel (LPD) equation, along with group velocity dispersion and spatio-temporal dispersion, via three altered analytical techniques.
Naeem Ullah, Muhammad Imran Asjad, Musawa Yahya Almusawa, Sayed M. Eldin   +3 more
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, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Investigation of Dark and Bright Soliton Solutions of Some Nonlinear Evolution Equations

ITM Web of Conferences, 2018
In this paper, generalized Kudryashov method (GKM) is used to find the exact solutions of (1+1) dimensional nonlinear Ostrovsky equation and (4+1) dimensional Fokas equation. Firstly, we get dark and bright soliton solutions of these equations using GKM.
Demiray Seyma Tuluce, Bulut Hasan
doaj   +1 more source