Results 41 to 50 of about 2,041 (188)
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
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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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A note on "new travelling wave solutions to the Ostrovsky equation" [PDF]
, 2010 In a recent paper by Yaşar [E. Yaşar, New travelling wave solutions to the Ostrovsky equation, Appl. Math. Comput. 216 (2010), 3191-3194], 'new' travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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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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Seven common errors in finding exact solutions of nonlinear differential equations [PDF]
, 2009 We analyze the common errors of the recent papers in which the solitary wave solutions of nonlinear differential equations are presented. Seven common errors are formulated and classified.
Abdou +75 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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, 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
A. A. Gaber, Hijaz Ahmad, H. Ahmad
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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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Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation [PDF]
, 2017 For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point
Bruzón Gallego, María de los Santos +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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