Results 101 to 110 of about 59,617,543 (217)

Homotopy Perturbation Method for Numerical Solutions of KdV-Burgers' and Lax's Seventh-Order KdV Equations

, 2010
In this article, we applied homotopy perturbation method to obtain the solution of the Korteweg-de Vries Burgers (for short, KdVB) and Lax's seventh-order KdV (for short, LsKdV) equations.
Berberler, Murat Ersen, Yildirim, Ahmet
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Fractional View Analysis System of Korteweg–de Vries Equations Using an Analytical Method

Fractal and Fractional
This study introduces two innovative methods, the new transform iteration method and the residual power series transform method, to solve fractional nonlinear system Korteweg–de Vries (KdV) equations.
Yousef Jawarneh, Zainab Alsheekhhussain, M. Mossa Al-Sawalha   +2 more
doaj   +1 more source

Non-central m-point formula in method of lines for solving the Korteweg-de Vries (KdV) equation

Journal of Umm Al-Qura University for Applied Sciences
Abstract The present study is committed to devising efficient spatial discretization with two non-central difference formulae incorporated in the method of lines (MOL). The method is then implemented numerically on the renowned dispersive evolution equation, the Korteweg-de Vries (KdV) model while infusing Euler and fourth-order Rung-Kutta ...
A. Alshareef, H. O. Bakodah
openaire   +1 more source

Unique continuation principle for high order equations of Korteweg-de Vries type

Electronic Journal of Differential Equations, 2013
In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy.
Pedro Isaza
doaj  

Derivation of Korteweg-de Vries flow equations from modified nonlinear Schrodinger equation

, 2010
WOS: 000279524300041We perform a multiple scales analysis on the modified nonlinear Schrodinger (MNLS) equation in the Hamiltonian form.
Koparan, Murat, Tascan, Filiz, Özer, Mehmet Naci   +2 more
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Nonlinear Evolution Equations of the Soliton Type: Old and New Results

Proceedings
An overview on the study of nonlinear evolution equations of soliton type is provided. In addition, 5th-order nonlinear evolution equations are shown to be connected to the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) equation via Bäcklund transformations ...
Sandra Carillo, Cornelia Schiebold, Federico Zullo   +2 more
doaj   +1 more source

Propagation of Regularity within Solutions to Korteweg-de Vries Type Equations [PDF]

, 2016
For many dispersive equations, decay of the initial data leads to increased regularity of the solution for positive times. The unidirectional dispersion of the k-generalized Korteweg-de Vries equation produces a propagation of regularity phenomena.
Smith, Derek Lee
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Generalized (G'/G) - Expansion Method for Some Soliton Wave Solution of the Coupled Potential Korteweg–de Vries (KdV) equation

Karadeniz Fen Bilimleri Dergisi, 2019
In this article, some soliton wave solutions of the coupled potential KdV equation have been found using the generalized (G '/ G) - expansion method. For this equation, hyperbolic function solutions, trigonometric function solutions and rational function solutions have been obtained.
openaire   +2 more sources

Numerical Studying of Soliton in the Korteweg-de Vries (KdV) Equation

Journal of Physics: Conference Series, 2019
Lia Yuliawati, Wono Setya Budhi, Didit Adytia   +2 more
openaire   +1 more source

Numerical inverse scattering for the Korteweg–-de Vries and modified Korteweg–-de Vries equations [PDF]

, 2011
Recent advances in the numerical solution of Riemann–Hilbert problems allow for the implementation of a Cauchy initial value problem solver for the Korteweg–de Vries equation (KdV) and the defocusing modified Korteweg–de Vries equation (mKdV), without ...
Trogdon, Thomas, Deconinck, Bernard, Olver, Sheehan   +2 more
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