(Tabor 1989, p. 291). The Korteweg-de Vries equation also exhibits Galilean invariance. An important step in the solution of the KdV equation was provided by Gardneret al.(1967), who proposed that it could be studied through the properties of the one-dimensional Schrödinger equation for po...
Noncommutative Korteweg-de-Vries equation,” hep-th/0007074 - Dimakis, Müller-Hoissen () Citation Context ...ruct NC (1 + 1)-dimensional integrable equations. For example, the NC KdV equation is ut + 3 4 (ux ⋆ u + u ⋆ ux) + 1 4 uxxx = 0, (2.19) which coincides with ...
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...
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 ...
求解变系数KdV方程的两种方法的研究 ResearchAboutTwOMethodstoObtainSolutionsof Variable--Coefficient Korteweg・・de Vries Equations(vcKdV) ABSTRACT Inrecent years,as all important branchofthenonlinearscience soliton theory was developedrapidly and
题目:求解变系数Korteweg-deVries(KdV)方程的两种方法的研究 一、研究背景和目的 自从KdV方程在1960年代被引入到数学物理中以来,就成为了一个非常重要的引力 中心。KdV方程以其作为经典非线性模型,已经广泛地应用于各种自然现象的研究中, 如光学、物理学、气象学、生物学等。 KdV方程是一个非线性偏微分方程,它的解...
The (2 + 1)-dimensional Korteweg de Vries (KdV) equation, which was first derived by Boiti , has been studied by various distinct methods. It is known that this (2 + 1)-dimensional KdV equation has rich solutions, such as multi-soliton solutions and dromion solutions. In the present ...
Glossary Definition of the Subject Introduction Some Numerical Methods for Solving the Korteweg–de Vries (KdV) Equation The Adomian Decomposition Method (ADM) The Homotopy Analysis Method (HAM) The Variational Iteration Method (VIM) The Homotopy Perturbation Method (HPM) Numerical Applications and ...
In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this method, the Elzaki transform and New Iteration method are combined. The iteration transform method solutions are obtained...
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 ...