Results 31 to 40 of about 1,282 (135)
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 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
doaj +1 more source
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
doaj +1 more source
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
core +3 more sources
Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gepreel, Khaled A. +2 more
openaire +2 more sources
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
core +3 more sources
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
doaj +1 more source
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.
core +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 +4 more
doaj +1 more source
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