The Korteweg--de Vries
Solving Variable Coefficient Korteweg-de Vries Equation Using Pseudospectral Method
... The Korteweg-de Vries (KdV) equation which is well established as a model for weakly nonlinear long waves is first derived by Korteweg and de Vries ( 1895) governing long one ...
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Low frequency analogue Hawking radiation: the Korteweg–de Vries model
... the Korteweg-de Vries model, one sees that there is not only a correspondence between black and white hole flows by time reversal, but also a similar correspondence between the two types of ...
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Exact Solution and Conservation Laws for Fifth Order Korteweg de Vries Equation
... The notion of conservation laws is important in the study of nonlinear evolution equations (NLEEs) appear- ing in mathematical physics [19]. The mathematical ori- gin of conservation laws results from the formulation of ...
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Travelling Solitary Wave Solutions to Higher Order Korteweg de Vries Equation
... the Korteweg-de Vries and Modified Korteweg-de Vries ...Modified Korteweg-de Vries System in a Two-Layer Fluid ...
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Existence and stability of solitary waves for the generalized Korteweg-de Vries equations
... by Korteweg and de Vries in ...the Korteweg-de Vries equation is considered by Benjamin in ...a Korteweg-de Vries equation with a forcing term, which is ...
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Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
... was first derived by Korteweg and de Vries [] in (or by Boussinesq [] in ) as a model for the propagation of some surface water waves along a channel. In applications to physical problems, ...
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The Korteweg de Vries equation and a Diophantine problem related to Bernoulli polynomials
... Pint?r and Tengely Advances in Difference Equations 2013, 2013 245 http //www advancesindifferenceequations com/content/2013/1/245 R ES EA RCH Open Access The Korteweg de Vries equation and a Diophant[.] ...
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Well posedness of Korteweg De Vries Burgers equation on a Finite Domain
... In this paper,we consider the Korteweg-de Vries-Burgers equation on a finite domain with initial value and nonhomogeneous boundary conditions. This particular problem arises in the theory of ...
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The Pfaffian Technique: A (2 + 1) Dimensional Korteweg de Vries Equation
... the Korteweg de Vries equation, the Sin-Gordon equation, the nonlinear Schrödinger equ- ation, the Kadomtsev-Petviashvili equation, the Davey-Stewartson equation, ...
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The origins of the Korteweg-De Vries equation: Collaboration between Korteweg and De Vries
... The 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 ...
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Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons
... The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation that can be solving numerically and analytically. To obtain the solutions of the KdV equation is not easy. In this ...
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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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Korteweg de Vries description of Helmholtz Kerr dark solitons
... It is known that small-amplitude NLS dark solitons are governed by the Korteweg-de Vries (KdV) equation [5]. The dynamics of such solitons in the presence of various perturbative effects can ...
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An Unconventional Splitting for Korteweg de Vries-Burgers Equation
... the Korteweg de Vries–Burgers (KdVB) equation based on splitting is ...the Korteweg de Vries (KdV) equation as we wish and as far from the Burgers equation as we wish or vice a ...
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Boundary linear stabilization of the modified generalized Korteweg–de Vries–Burgers equation
... 10. Brezis, H.: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, Berlin (2011) 11. Bui, A.T.: Initial boundary value problems for the Korteweg–de Vries equation. J. ...
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Hirota bilinear computation of multi soliton solutions korteweg de vries equation
... the Korteweg de-Vries (KdV) ...by Korteweg de Vries (KdV) equation appeared as if they did not interact with each ...the Korteweg de Vries (KdV) equation, ...
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Numerical Solution of The Korteweg de Vries Equation
... Abstract — The dynamics of solitary waves is modeled by the Korteweg de Vries (KdV) equation. In this work, we seek the solution of the KdV equation no perturbation term. We start by discreetizing ...
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Simulations and observation of nonlinear internal waves on the continental shelf: Korteweg–de Vries and extended Korteweg–de Vries solutions
... the Korteweg– de Vries (KdV) and extended Korteweg–de Vries (eKdV) equations are used to model the transformation of a sinu- soidal internal tide as it propagates across the ...
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PT-symmetric deformations of the Korteweg-de Vries equation
... Abstract: We propose a new family of complex PT -symmetric extensions of the Korteweg-de Vries equation. The deformed equations can be associated to a sequence of non-Hermitian Hamiltonians. The ...
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The method of lines solution of the Forced Korteweg-De Vries-Burgers equation (FKdVB)
... In literature, weakly nonlinear wave propagation in a prestressed fluid-filled stenosed elastic tube filled with a Newtonian fluid with variable viscosity fluid has been studied by (Tay, 2007)by applying the reductive ...
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