Results 41 to 50 of about 127,328,871 (181)
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 +3 more
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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 +4 more
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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 +3 more
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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
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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 +3 more
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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.
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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 +5 more
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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 +3 more
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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
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, 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
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