value problem on the real line with H^{-1} initial data; moreover, we will study the problem of orbital and asymptotic H^{s} stability of solitons for integers s\\ge -1; finally, we will also prove new a priori H^{-1} bounds for solutions to the Korteweg-de Vries equation. The...
THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION JUSTIN HOLMER Abstract. We prove local well-posedness of the initial-boundary value problemfor the Korteweg-de Vries equation on right half-line, left half-line, and line segment, in the low regularity setting. This is ...
modified Korteweg-de Vries方程 1. In this dissertation, we study the initial-boundary-value problem of modified Korteweg-de Vries equation and use the tool of harmonic analysis to study the Cauchy problem of Davey-Stewarson equation. 本文研究了modified Korteweg-de Vries方程初边值问题并用调和分析...
Klaus Brauer: The Korteweg - de Vries Equation 3 (1) (2) Using the typical short denotations as the problem can be formulated as: This is the Korteweg-de Vries Equation (KdV) which is nonlinear because of the product shown in the second summand and which is of third order because of ...
Korteweg-de Vries equationsingular solutionCauchy problemtraveling wavenonlinear capacityHölder inequalityIn this chapter we study the local well-posedness (LWP) for the initial value problem (IVP) associated to the generalized KdV equation. We discuss the local theory for the KdV equation, the ...
2) Korteweg-de Vries equation with variable coefficients 变系数KortewegdeVries方程3) equation [英][ɪ'kweɪʒn] [美][ɪ'kweʒən] 方程 1. Study on the equation of scale-inhibiting efficiency of polyaspartic acid; 聚天冬氨酸阻垢效能方程的研究 2. A modified equation for ...
KdVE Korteweg-de Vries equation ET Elzaki transform NIM New Iterative method FC fractional calculus PDEs partial differential equations MCKdV modified coupled Koreweg-de Vries system NITM New Iterative transform method References Jafari, H.; Jassim, H.; Baleanu, D.; Chu, Y. On the Approximate ...
TX 78541-2999, USAReceived 24 June 2003; received in revised form 17 October 2003AbstractThe constraint equation which must hold for the reciprocal of a known solution for theKorteweg–de Vries (KdV) equation to be a solution itself is derived. These reciprocal solutionsare required to satisfy ...
The purpose of this paper is to set up and analyse difference schemes for solving the initial-value problem for the socalled Korteweg-de Vries equation. After the discussion of a difference scheme which is correctly centered in both space and time, the construction of difference schemes which im...
The two-mode Korteweg-de Vries equation (TMKdV) was proposed to describe thepropagation of nonlinear waves of two different wave modes simultaneously.However, the existence of multi-soliton solutions is still unknown. In thisletter we present two Hamilto