Korteweg de Vries (KdV)
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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Approximate solution of forced korteweg-de vries equation
... In the last ten years, several researchers have conducted extensive studies on Korteweg- de Vries (KdV) equation and they were able to get free solitons generated, Shen (1993) [8]. With forcing terms ...
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Well posedness of Korteweg De Vries Burgers equation on a Finite Domain
... The Korteweg-de Vries-Burgers equation is one of the typical examples incorporating the effects of dispersion, dissipation and ...the Korteweg-de Vries-Burgers equation [4, ...
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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 ...
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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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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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Martingale Solution to Stochastic Extended Korteweg de Vries Equation
... celebrated Korteweg-de Vries equation ( KdV for short) [1], derived from the set of Eulerian shallow water and long wavelength equations, becomes a paradigm in the field of nonlinear partial ...
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Korteweg de Vries description of Helmholtz Kerr dark solitons
... Abstract. A wide variety of different physical systems can be described by a relatively small set of universal equations. For example, small-amplitude nonlinear Schrödinger dark solitons can be described by a ...
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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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Travelling Solitary Wave Solutions to Higher Order Korteweg de Vries Equation
... order Korteweg-de Vries equation is one of important equations for de- scription localized structures in the modern physics, such as two-layer fluid [5], steady-state solitary waves in a fluid ...
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Existence for Korteweg de Vries type equation with delay
... There has been a particular interest in the theory of Korteweg-de Vries (KdV) equation due to its significance in nonlinear dispersive wave theory. Many different real-world nonlinear physical ...
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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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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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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 ...variable-coefficient Korteweg-de Vries (vKdV) is studied and ...
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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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Existence and stability of solitary waves for the generalized Korteweg-de Vries equations
... fractional Korteweg-de Vries equations with general ...generalized Korteweg-de Vries equations under some assumptions of the nonlinear ...
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Boundary linear stabilization of the modified generalized Korteweg–de Vries–Burgers equation
... Up to our knowledge, the well-posedness and stability of the of modified generalized Korteweg–de Vries–Burgers (MGKdVB) equation (1.1) have not been discussed in the literature. Thus, the principal ...
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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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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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