Results 21 to 30 of about 265 (69)
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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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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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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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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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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Standing waves of the complex Ginzburg-Landau equation [PDF]
, 2013 We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation $\phi_t = e^{i\theta} \Delta \phi + e^{i\gamma} |\phi |^\alpha \phi $ with periodic boundary conditions. Our result includes all values of $\theta $ and $\gamma $ for which $\cos \theta \cos \gamma >0$, but requires that $\alpha >0$ be sufficiently ...
arxiv +1 more source
Existence and properties of soliton solution for the quasilinear Schrödinger system
Open MathematicsIn this article, we consider the following quasilinear Schrödinger system: −εΔu+u+k2ε[Δ∣u∣2]u=2αα+β∣u∣α−2u∣v∣β,x∈RN,−εΔv+v+k2ε[Δ∣v∣2]v=2βα+β∣u∣α∣v∣β−2v,x∈RN,\left\{\begin{array}{ll}-\varepsilon \Delta u+u+\frac{k}{2}\varepsilon \left[\Delta \hspace{-0 ...
Zhang Xue, Zhang Jing
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Results in Physics, 2021 The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by
Mostafa M.A. Khater +2 more
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Rotational Symmetry of Conical Kähler-Ricci Solitons [PDF]
, 2013 We show that expanding K\"ahler-Ricci solitons which have positive holomorphic bisectional curvature and are asymptotic to K\"ahler cones at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.
arxiv +1 more source
Solitons of a vector model on the honeycomb lattice [PDF]
Journal of Physics A, 49 (2016) 455202, 2016 We study a simple nonlinear vector model defined on the honeycomb lattice. We propose a bilinearization scheme for the field equations and demonstrate that the resulting system is closely related to the well-studied integrable models, such as the Hirota bilinear difference equation and the Ablowitz-Ladik system.
arxiv +1 more source