Results 31 to 40 of about 1,413 (195)
Journal of Ocean Engineering and Science, 2021 In this investigation, the (2+1)-dimensions of dispersive long wave equations on shallow waters which are called Wu-Zhang (WZ) equations are studied by using symmetry analysis.
A.A. Gaber
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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 +3 more
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Soliton solutions and periodic solutions for two models arises in mathematical physics
AIMS Mathematics, 2022 We aimed in this paper to acquire the periodic wave solutions and soliton solutions and other solutions such as kink-wave solutions for the cubic nonlinear Schrödinger equation with repulsive delta potential (δ-NLSE) and complex coupled Higgs field ...
F. A. Mohammed , Mohammed K. Elboree
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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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B\"acklund Transformations for First and Second Painlev\'e Hierarchies [PDF]
, 2009 We give B\"acklund transformations for first and second Painlev\'e hierarchies. These B\"acklund transformations are generalization of known B\"acklund transformations of the first and second Painlev\'e equations and they relate the considered ...
Sakka, Ayman Hashem
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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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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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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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Results in Physics, 2021 In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients. We considered three interesting non-Kerr laws which are respectively the quadratic-cubic law, anti-cubic law ...
Rezazadeh, Hadi +6 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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