Vries equation
Travelling Solitary Wave Solutions to Higher Order Korteweg de Vries Equation
... The travelling solitary wave solutions to the higher order Korteweg-de Vries equation are obtained by using tanh-polynomial method. The method is ef- fective and concise, which is also applied to various ...
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The Pfaffian Technique: A (2 + 1) Dimensional Korteweg de Vries Equation
... de Vries equation, the Sin-Gordon equation, the nonlinear Schrödinger equ- ation, the Kadomtsev-Petviashvili equation, the Davey-Stewartson equation, ...
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PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation
... Abstract: We discuss several PT -symmetric deformations of superderivatives. Based on these various possibilities, we propose new families of complex PT -symmetric defor- mations of the supersymmetric Korteweg-de ...
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Martingale Solution to Stochastic Extended Korteweg de Vries Equation
... Korteweg-de Vries equation plays an essential role in the description of the creation and propagation of nonlinear waves in many ...Korteweg-de Vries equation dri- ven by a multiplicative ...
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Symmetry properties of a generalized Korteweg de Vries equation and some explicit solutions
... Korteweg-de Vries equation and several classes of group invariant solutions for it are obtained by means of this ...generalized equation can be reduced to a first-order equation under a ...
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Approximate solution of forced korteweg-de vries equation
... de Vries equation (fKdV) are discussed in this paper. This equation has lost group symmetries due to the forcing ...fKdV equation and generate uniform forced ...
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Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
... measurements of the solution on a part of the boundary and also at some positive time in the whole space domain. The Lipschitz stability of this inverse problem relies on a Carleman estimate for the linearized ...
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Three dimensional Korteweg de Vries equation and traveling wave solutions
... This equation has been called the one-dimensional Korteweg-de Vries equation (KdV equation for ...this equation went unappreciated for several decades until the early fifties when some ...
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The Korteweg-De Vries Equation and its Homologues: A Comparative Analysis II
... 2.3 Classi fication 33 2.4 Conclusion 36 CHAPTER THREE REVIEW OF THE KORTEWEG-DE VRIES EQUATION 38 3.1 Existence of solitary and periodic wave solutions 38 3.2 Stability of the solitary [r] ...
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The origins of the Korteweg-De Vries equation: Collaboration between Korteweg and De Vries
... Korteweg-De Vries equation that describes the behaviour of long wavelength waves in shallow water has generated an extensive body of literature since Zabus- ky and Kruskal rediscovered it in 1965, and today ...
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Exact Solution and Conservation Laws for Fifth Order Korteweg de Vries Equation
... u f x t u u u u xt (1) where u u x t , is a function of two independent variables t and x. The functional I u x t , is said to be a constant of motion or an integral of Equation (1), if it ...
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The Korteweg de Vries equation and a Diophantine problem related to Bernoulli polynomials
... Applying some recent results by Rakaczki, see [] and [], it is not too hard to give some ineffective and effective finiteness statements for the solutions m and n to equation (). However, the purpose of this note ...
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Solving Variable Coefficient Korteweg-de Vries Equation Using Pseudospectral Method
... KdV equation by Chan and Kerhoven (1985), Burgers equation by Ong et ...KdV-Burgers equation by Rashid (2006) and also Forced Perturbed KdV equation by Tay et ...
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Nearly conconcentric Korteweg de Vries equation and periodic traveling wave solution
... Solitary wave solutions and cnoidal wave solutions are obtained The cnoidal wave solutions are shown to be representable as infinite sums of solitons by using Fourier series expansions a[r] ...
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Hirota bilinear computation of multi soliton solutions korteweg de vries equation
... solutions. We have to produce the permutation parameters of solitons interactions in order to obtain all the eight soliton solutions of KdV equation. As these solutions are difficult to calculate manually, thus we ...
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Sniffer Technique for Numerical Solution of Korteweg de Vries Equation Using Genetic Algorithm
... The fitness value for the true solution as given by Equation (5) is 0.4802-A, where the departure from -A is due to the discretized solution domain considered (resulting in chromosome representation by whole ...
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Numerical Solution of The Korteweg de Vries Equation
... amplitude. Equation (2) is an exact solution of the KdV equation representation a non dispersive travelling wave packet [3], [8], ...KdV equation that includes time as a ...
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Interaction of Two Pulsatory Waves of the Korteweg de Vries Equation in a Zigzag Hyperbolic Structure
... Korteweg-de Vries (KdV) equation by experimental compu- tation [1], various analytical methods, like the inverse scattering transform, the Bäcklund transform, generalized functions, ...
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Few-cycle optical rogue waves: Complex modified Korteweg-de Vries equation
... Optical solitons are localized electromagnetic waves that propagate steadily in a nonlinear medium resulting from the robust balance between nonlinearity and linear broadening due to dispersion and diffraction. Existence ...
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PT-symmetric deformations of the Korteweg-de Vries equation
... Having seen how to obtain the PT -symmetrically deformed KdV equation (2.3), or more precisely its scaled version (3.5), from a Hamiltonian principle, we shall demonstrate next that is has further interesting ...
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