Korteweg-de Vries
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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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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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 (2 + 1)-dimensional Korteweg de Vries (KdV) equation, which was first derived by Boiti et al ., has been studied by various distinct methods. It is known that this (2 + 1)-dimensional KdV ...
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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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Three dimensional Korteweg de Vries equation and traveling wave solutions
... Abstract. The three-dimensional power Korteweg-de Vries equation [u t +u n u x +u xxx ] x + u yy + u zz = 0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave ...
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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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Numerical investigations of waves interactions from forced Korteweg de Vries equations
... forced Korteweg de Vries (fKdV) equation is an appropriate model and suitable theory due to its weak nonlinearity, under the assumptions that the upstream Froude number is near ...
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Low frequency analogue Hawking radiation: the Korteweg–de Vries model
... We argue here that the linearized Korteweg-de Vries equation correctly describes the propagation of modes propagating against the flow. For this we need 2 conditions to be realized. First, we must be ...
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Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons
... In year 1895, John Scott Russell‟s theoretical understanding has been studied by Diederik Johannes Korteweg and his PhD student, Gustav de Vries. They have derived an equation that related with John ...
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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 ...
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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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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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Boundary linear stabilization of the modified generalized Korteweg–de Vries–Burgers equation
... Korteweg–de Vries–Burgers (GKdVB) equation. This equation is useful in modeling many physical phenomena such as the unidirectional propagation of planar waves [1]. It also models longitudinal ...
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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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Exact boundary controllability for the linear Korteweg-De Vries eqation - a numerical study
... The exact boundary controllability of linear and nonlinear Korteweg-de Vries equation on bounded domains was established in [15] by means of Hilbert Uniqueness Method.. The aim of these [r] ...
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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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Symmetry properties of a generalized Korteweg de Vries equation and some explicit solutions
... Recently, there has been interest in the fact that a particular generalization of the classical korteweg-de Vries (KdV) equation can support a new type of solitary wave, which has been referred to as ...
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Simulations and observation of nonlinear internal waves on the continental shelf: Korteweg–de Vries and extended Korteweg–de Vries solutions
... We are interested in nonlinear IWs because they are a very energetic part of the signal in time series that we have observed on continental shelves and in the shallow ocean. We are guided by numerical solutions of ...
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