S. Fokas, The modified Korteweg-de Vries equation on the half-line with a sine-wave as Dirichlet datum, J. Nonl. Math. Phys., to appear.Hwang G, Fokas AS. 2013 The modified Korteweg-de Vries equation on the half-line with a sine-wave as Dirichlet datum. J. Nonlinear Math. Phys....
We consider initial value problems for the modified Korteweg-de Vries equation by using the inverse scattering method. We find that simple initial potentials produce a double pole and breather solutions as well as soliton solutions. We observe a soliton which connects distantly two isolated potentials...
摘要: An exact solution has been obtained for the Korteweg-de Vries equation for the case of multiple collisions of N solitons with different amplitudes.关键词: Theoretical or Mathematical/ collision processes quantum theory/ multiple collisions solitons Korteweg de Vries equation/ A0365N ...
THE KORTEWEG-DE VRIES EQUATION IN CLASSES OF INCREASING FUNCTIONS WITH PRESCRIBED ASYMPTOTICS AS $ \\\vert x\\\verto\\\infty$doi:... I,N,Bondareva - 《Mathematics of the Ussr Sbornik》 被引量: 21发表: 1985年 A modified Korteweg-de Vries equation soliton gas under the nonzero background...
Kepler UNiversity, Linz; AustriaIn this Letter we demonstrate for the first time the formation of the inverse energy cascade inthe focusing modified Korteweg–de Vries (mKdV) equation. We study numerically the propertiesof this cascade such as the dependence of the spectrum shape on the initial ...
vrieskortewegequation方程osnabrucksolitary TheKorteweg-deVriesEquation:History,exactSolutions,andgraphicalRepresentationbyKlausBrauer,UniversityofOsnabrück/Germany1LastRevisionofthispaper:February2014TravellingwavesassolutionstotheKorteweg-deVriesequation(KdV)whichisanon-linearPartialDifferentialEquation(PDE)ofthirdorderhav...
Unbounded Solutions of the Modified Korteweg-de Vries Equation.的书评 ··· ( 全部0 条 ) 论坛 ··· 在这本书的论坛里发言 + 加入购书单 谁读这本书? ··· 二手市场 ··· 在豆瓣转让 手里有一本闲着? 订阅关于Unbounded Solutions of the Modified Korteweg-de Vries Equation.的...
Multisoliton solutions of the modified Korteweg–de Vries–sine-Gordon (mKdV–SG) equation with time-dependent coefficients are considered. Cases describing changes in the shape of soliton solutions (kinks and breathers) observed in gradual transitions between the mKdV, SG, and mKdV–SG equations are...
Using the transformation, solitons, breathers and rational solutions to the complex Korteweg-de Vries equation are obtained from those of the modified Korteweg-de Vries equation. Dynamics of the obtained solutions are illustrated. 展开 关键词: blow-up non-singular solutions complex Korteweg-de Vries ...
A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as |x|-->∞. The method can be used to predict exactly the "solitons," or solitary waves, which emerge from arbitrary...