搜索结果: 1-15 共查到“数学 KdV equation”相关记录15条 . 查询时间(0.2 秒)
Well-posedness for the fifth-order KdV equation in the energy space
Fifth-order KdV equation fifth-order water-waves models initial value problem
2012/5/9
We prove that the initial value problem (IVP) associated to the fifth order KdV equation {equation} \label{05KdV} \partial_tu-\alpha\partial^5_x u=c_1\partial_xu\partial_x^2u+c_2\partial_x(u\partial_x...
CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
KdV equation in the quarter--plane: evolution of the Weyl functions and unbounded solutions
KdV initial–boundary value problem Weyl function evolution low–energy asymptotics blow–up solution
2011/9/1
Abstract: The matrix KdV equation with a negative dispersion term is considered in the right upper quarter--plane. The evolution law is derived for the Weyl function of a corresponding auxiliary linea...
Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation
the first Painlevé hierarchy non-generic critical behavior the KdV equation
2011/8/23
Abstract: We establish the existence of real pole-free solutions to all even members of the Painlev\'e I hierarchy. We also obtain asymptotics for those solutions and describe their relevance in the d...
Conserved quantities and generalized solutions of the ultradiscrete KdV equation
Conserved quantities generalized solutions ultradiscrete KdV equation
2011/2/22
We construct generalized solutions to the ultradiscrete KdV equation,including the so-called negative solition solutions. The method is based on the ultradiscretization of soliton solutions to the dis...
Variational iteration method for solving coupled Schrodinger-KdV equation
Variational iteration method (VIM) the coupled Schrö dinger–KdV equation
2010/9/21
In this letter, we will consider variational iteration method (VIM) for finding analytical solutions of the coupled Schrödinger–KdV equation. The available analytical solutions of the coupled Sch...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2011/3/1
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
We consider the Cauchy problem of the fifth order KdV equation with low regularity initial data. We cannot apply the iteration argument to this problem when initial data is given in the Sobolev space...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2010/12/28
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
The supercritical generalized KdV equation: Global well-posedness in the energy space and below
supercritical generalized KdV equation Global well-posedness energy space and below
2010/12/8
We consider the generalized Korteweg-de Vries (gKdV) equation @tu + @3 xu + μ@x(uk+1) = 0, where k ≥ 5 is an integer number and μ = ±1.In the focusing case (μ = 1), we show that if the initial data u0...
Gardner's deformations of the N=2 supersymmetric a=4-KdV equation
Gardner's deformation N=2 supersymmetric a=4-KdV equation
2010/4/7
We prove that P.Mathieu's Open problem on constructing Gardner's deformation for the N=2 supersymmetric a=4-Korteweg-de Vries equation has no supersymmetry invariant solutions, whenever it is assumed ...
Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
twisted derivation super KdV equation quasideterminant solutions
2010/4/7
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twisted derivation $D$ satisfying $D(AB)=D(A)+\sigma(A)B$ where $\sigma$ is a homomorphism. Such twiste...
We construct and analyze a family of semi-discretized difference
schemes with two parameters for the Korteweg-de Vries (KdV) equation.
The scheme possesses the first four near-conserved quantities f...
In this paper, we present a new semi-discrete difference scheme for the KdV equation, which possesses the first four nearconserved quatities. The scheme is better than the past one given in [4], becau...
GLOBAL ATTRACTOR AND ITS DIMENSION ESTIMATES FOR THE GENERALIZED DISSIPATIVE KdV EQUATION ON R
Global attractor Hausdorff
2007/12/10
In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its Hausdorff and fractal dimensions.