Results 21 to 30 of about 22,064 (260)
BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION
Journal of Applied Analysis & Computation, 2020 Recently, time-fractional PDE has received much attention due to its advantages in modeling complex systems. It allows us to tackle efficiently problems involving complexity, self-similar, scale-free, and inverse power law. In particular, time-fractional PDE provides an excellent way for the description of memory and hereditary properties of various ...
Wang, Jingqun, Tian, Lixin
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Modulation of Camassa--Holm equation and reciprocal transformations [PDF]
, 2005 We derive the modulation equations or Whitham equations for the Camassa--Holm (CH) equation. We show that the modulation equations are hyperbolic and admit bi-Hamiltonian structure.
Abenda, Simonetta, Grava, Tamara
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Wavelet-based Numerical Approaches for Solving the Korteweg-de Vries (KdV) Equation
Turkish Journal of Mathematics and Computer Science, 2022 In this research work, we examine the Korteweg-de Vries equation (KdV), which is utilized to formulate the propagation of water waves and occurs in different fields such as hydrodynamics waves in cold plasma acoustic waves in harmonic crystals. This research presents two efficient computational methods based on Legendre wavelets to solve the Korteweg ...
Neslihan ÖZDEMİR, Aydın SEÇER
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A reliable technique to study nonlinear time-fractional coupled Korteweg–de Vries equations
, 2020 This paper employs an efficient technique, namely q-homotopy analysis transform method, to study a nonlinear coupled system of equations with Caputo fractional-time derivative.
Lanre Akinyemi, O. Iyiola
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Exact traveling wave solutions to higher order nonlinear equations
Journal of Ocean Engineering and Science, 2019 The present paper applies the new generalized (G′/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3+1)-dimensional Jimbo-Miwa ...
Md Nur Alam, Xin Li
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Weakly nonlinear wavepackets in the Korteweg–de Vries equation: the KdV/NLS connection [PDF]
Mathematics and Computers in Simulation, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boyd, John P., Chen, Guan-Yu
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On the calculation of finite-gap solutions of the KdV equation [PDF]
, 1999 A simple and general approach for calculating the elliptic finite-gap solutions of the Korteweg-de Vries (KdV) equation is proposed. Our approach is based on the use of the finite-gap equations and the general representation of these solutions in the ...
Bateman H. +10 more
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Analytical and Numerical Computations of Multi-Solitons in the Korteweg-de Vries (KdV) Equation [PDF]
Applied Mathematics, 2020 In this paper, an analytical and numerical computation of multi-solitons in Korteweg-de Vries (KdV) equation is presented. The KdV equation, which is classic of all model equations of nonlinear waves in the soliton phenomena, is described. In the analytical computation, the multi-solitons in KdV equation are computed symbolically using computer ...
Hycienth O. Orapine +2 more
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, 2020 The purpose of this research applied a method that includes the combination of an iterative method (Temimi and Ansari method (TAM)) and a new transform called the Elzaki transform (ET )for some Korteweg-de Vries (Kdv) equations.
A. Salah
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Ain Shams Engineering Journal, 2018 In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad +2 more
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