De Vries
The method of lines solution of the Forced Korteweg-De Vries-Burgers equation (FKdVB)
... The MOL is a powerful method used to solve partial differential equations (PDEs). It involves making an approximation to the spatial derivatives and reducing the problem into a system of ODEs (Hall & Watt, 1976; Loeb ...
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Comparison of the characteristics of the chiral analog of the de Vries type of smectic A* phase
... tion. However, they found that for the samples they studied, the model does not predict correct (E) shape for all electric field values; only the low field behavior can be predicted. From the model based on the ...
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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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Three dimensional Korteweg de Vries equation and traveling wave solutions
... which describes the evolution of small amplitude, long water waves down a canal of rectangular cross-section [9]. This equation has been called the one-dimensional Korteweg-de Vries equation (KdV equation ...
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The Pfaffian Technique: A (2 + 1) Dimensional Korteweg de Vries Equation
... 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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Well posedness of Korteweg De Vries Burgers equation on a Finite Domain
... Korteweg-de Vries-Burgers equation is one of the typical examples incorporating the effects of dispersion, dissipation and ...Korteweg-de Vries-Burgers equation [4, ...
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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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Existence and stability of solitary waves for the generalized Korteweg-de Vries equations
... and de Vries in ...Korteweg-de Vries equation is considered by Benjamin in ...Korteweg-de Vries equation with a forcing term, which is a simple analytical model of tsunami ...
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On the orientational distribution functions in de Vries-type smectic liquid crystals
... nanosegregating de Vries-type smectics - both important factors which we merely discussed in this paper since we here focus on the ODFs in de Vries-type ...
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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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Low frequency analogue Hawking radiation: the Korteweg–de Vries model
... 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 dispersion ...
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Solving Variable Coefficient Korteweg-de Vries Equation Using Pseudospectral Method
... Korteweg-de Vries (KdV) equation usually describes internal solitary waves in shallow water and in the coastal ...Korteweg-de Vries (vKdV) is studied and numerical solutions of the problem is ...
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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. Differ. ...
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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 research, ...
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Numerical investigations of waves interactions from forced Korteweg de Vries equations
... 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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Hirota bilinear computation of multi soliton solutions korteweg de vries equation
... is counterbalanced by a dispersive term which stabilizes the shape of solitary wave, thereby vindicating John Scott Russell’s observations. The partial differential equation arrived by Korteweg and de Vries’s ...
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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
... [2] Trogdon, T., Olver, S. and Deconinck, B. (2012) Numerical Inverse Scattering for the Korteweg-de Vries and Modified Korteweg-de Vries Equations. Physica D : Nonlinear Phenomena , 241, ...
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Molecular Organisation in “de Vries” Smectic Liquid Crystals: Characterisation and Theory
... chiral de Vries smectics [30,76-79] revealed further characteristic differences compared to the conventional ...chiral de Vries smectics is the substantial increase in the field induced ...
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Simulations and observation of nonlinear internal waves on the continental shelf: Korteweg–de Vries and extended Korteweg–de Vries solutions
... 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 continental ...
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