Results 41 to 50 of about 11,567,127 (180)

Travelling wave solutions and modulation instability analysis of the nonlinear Manakov-system

Journal of Taibah University for Science, 2023
In this paper, the accurate closed-form solutions of the Manakov-system are extracted via the extended [Formula: see text]-expansion method, the [Formula: see text]-expansion method and generalized Kudryashov method.
Ghazala Akram, Maasoomah Sadaf, Saima Arshed, Usama Ejaz   +3 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

Symmetric and asymmetric binary-solitons to the generalized two-mode KdV equation: Novel findings for arbitrary nonlinearity and dispersion parameters

Results in Physics, 2023
In this paper, the two-mode version of the generalized KdV (gTMKdV) equation is presented. The new model arises in weakly dispersive and nonlinear wave medium and describes the motion of either symmetric or asymmetric binary-waves regarding each wave’s ...
Mohammed Ali, Marwan Alquran, Abdallah BaniKhalid   +2 more
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

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.
S Tuluce Demiray, U Bayrakci
core   +2 more sources

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

Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations [PDF]

, 2010
The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
core   +4 more sources