Results 11 to 20 of about 70 (54)
Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation [PDF]
Springerplus, 2014 Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature.
Md Hamidul Islam +3 more
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Solitary wave solutions of the fourth order Boussinesq equation through the exp(–Ф(η))-expansion method [PDF]
Springerplus, 2014 The exp(–Ф(η))-expansion method is an ascending method for obtaining exact and solitary wave solutions for nonlinear evolution equations. In this article, we implement the exp(–Ф(η))-expansion method to build solitary wave solutions to the fourth order ...
M. Akbar, Norhashidah Hj. Mohd. Ali
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Results in Physics, 2021 We introduce a new stochastic robust solver to solve several classes of nonlinear stochastic partial differential equations (NSPDEs). This solver presents the closed formula for the stochastic solutions.
Yousef F. Alharbi +2 more
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Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model
Journal of Ocean Engineering and Science, 2022 In this article, semi-analytical and numerical simulations of the well-known modified Benjamin–Bona–Mahony (mBBM) equation are processed. This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been ...
Mostafa M.A. Khater, Samir A. Salama
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Alexandria Engineering Journal, 2023 In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
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Relativistic Chern–Simons–Higgs vortex equations [PDF]
, 2015 An existence theorem is established for the solutions to the non-Abelian relativistic Chern-Simons-Higgs vortex equations over a doubly periodic domain when the gauge group G assumes the most general and important prototype form, G = SU(N).
Xiaosen Han, Yisong Yang
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Alexandria Engineering Journal, 2021 This research is based on three main pillars which are studying the computational solutions of the modified Benjamin–Bona–Mahony (BBM) equation via the modified Khater method then investigating the stability property of the obtained solutions through the
Mostafa M.A. Khater +4 more
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Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
Ain Shams Engineering Journal, 2021 In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation.
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
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Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method
Alexandria Engineering Journal, 2020 In this work, a competent and efficient technique namely Exp-function method is used to find the solitary wave solutions of time fractional simplified modified Camassa-Holm equation (CH-equation).
Aniqa Zulfiqar, Jamshad Ahmad
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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
doaj +1 more source