Results 41 to 50 of about 132,714,206 (184)

New exact solutions for the time fractional coupled Boussinesq–Burger equation and approximate long water wave equation in shallow water

Journal of Ocean Engineering and Science, 2017
The aim of the article is to construct exact solutions for the time fractional coupled Boussinesq–Burger and approximate long water wave equations by using the generalized Kudryashov method. The fractional differential equation is converted into ordinary
Mostafa M.A. Khater, Dipankar Kumar
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., Tuluce Demiray, S.   +2 more
core   +2 more sources

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

Some new exact solitary wave solutions of the van der Waals model arising in nature

Results in Physics, 2018
This work proposes two well-known methods, namely, Exponential rational function method (ERFM) and Generalized Kudryashov method (GKM) to seek new exact solutions of the van der Waals normal form for the fluidized granular matter, linked with natural ...
Sadaf Bibi, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud-Din   +3 more
doaj   +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

Finding soliton solutions of some partial differential equations by generalized Kudryashov method [PDF]

, 2022
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez çalışması beş farklı kısımdan oluşmaktadır. Birinci kısımda genelleştirilmiş Kudryashov metodunun oluşumu ve metodun uygulanması ile ilgili bazı bilgiler verilmiştir.
Ceren, Emre
core  

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

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

Application of Kudryashov method for the Ito equations [PDF]

, 2017
In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact
Akbari, Mozhgan
core   +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