On the generalized korteweg-de vries equation
Web15 de abr. de 1995 · Hasan A and Foss B (2011) Global Stabilization of The Generalized Burgers-Korteweg-de Vries Equation by Boundary Control, IFAC Proceedings … Web4 de nov. de 2006 · Then passing to the limit in this sequence, we get the persistence for the solution u (t) in X 2,θ as desired. Moreover, since X s,1 ⊆ X s,θ , for all s ∈ R and θ ∈ [0] [1], see Remark 1. ...
On the generalized korteweg-de vries equation
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WebMany physical phenomena in fields of studies such as optical fibre, solid-state physics, quantum field theory and so on are represented using nonlinear evolution equations with variable coefficients due to the fact that the majority of nonlinear conditions involve variable coefficients. In consequence, this article presents a complete Lie group analysis of a … Web28 de dez. de 2001 · The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain ...
WebThe generalized Korteweg-de Vries equation (KdV) is given by where p is a positive parameter. Formulated in the moving frame ξ = x - ct, the generalized Korteweg-de … WebThis paper proposes a new class of arbitrarily high-order conservative numerical schemes for the generalized Korteweg--de Vries (KdV) equation. This approach is based on the scalar auxiliary variable method. The equation is reformulated into an equivalent system by introducing a scalar auxiliary variable, and the energy is reformulated into a sum of two …
WebThe Korteweg–de Vries equation \\[ u_t + uu_x + u_{xxx} = 0\\] is a nonlinear partial differential equation arising in the study of a number of different physical systems, e.g., … Web1 de abr. de 1998 · Abstract. We consider a stochastic Korteweg–de Vries equation forced by a random term of white noise type. This can be a model of water waves on a fluid submitted to a random pressure. We prove existence and uniqueness of solutions in H1 ( R) in the case of additive noise and existence of martingales solutions in L2 ( R) in the case …
WebOn the generalized Korteweg-de Vries equation, Differential Integral Equations 10 (1997), 777–796. Google Scholar Strauss, W. A.: Dispersion of low-energy waves for two …
WebIn the last twenty years, there have been significant advances in the study of the blow-up phenomenon for the critical generalized Korteweg-de Vries equation, including the determination of sufficient conditions for blowup, the stability of blowup in a refined topology and the classification of minimal mass blowup. Exotic blow-up solutions with a continuum … how did night of the living dead endWebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the … how did nils wallerius discover evaporationWeb1 de mar. de 1976 · Abstract. We show for the Korteweg-de Vries equation an existence uniqueness theorem in Sobolev spaces of arbitrary fractional orders≧2, provided the … how did night elves become night elvesWebTravelling waves as solutions to the Korteweg-de Vries equation (KdV) which is a non-linear Partial Differential Equation (PDE) of third order have been of some interest … how did nikolas cruz mother dieWebWe show for the Korteweg-de Vries equation an existence uniqueness theorem in Sobolev spaces of arbitrary fractional order s ≧2, provided the initial data is given in the … how many sleeps till christmas 2020WebThe above equation is a generalization of the well-known Korteweg-de Vries equation, i.e. u t +u xxx +uu x =0. When a ≡ 0 the equation in (1.1) considered in the real line is called critical for various reasons. For instance, if u is a solution of the initial value problem associated to the equation in (1.1) with a ≡ 0, then u λ(x,t)=λ1 ... how did nikolas cruz obtain gunsWebIn this letter, we propose a hierarchy of new generalized Korteweg–de Vries equations and find that the generalized Korteweg–de Vries equation has a class of pseudo-peakons. … how many sleeps till 21st of november