搜索结果: 1-11 共查到“理学 Korteweg de Vries equation”相关记录11条 . 查询时间(0.187 秒)
The Burgers equation and the Korteweg-de Vries equation with quadratic nonlinearity
Burgers equation KdV equation diffeomorphism group BottVirasoro group Euler equation
2011/9/15
Abstract: We study generalized variants of the Burgers equation and the KdV equation on the circle. The main goal of the paper is to show that both extensions can be recast as geodesic equations on a ...
A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation
KdV equation Haar wavelets potential fragmentation layer stripping Inverse Scattering Transform
2011/9/14
Abstract: We discuss a new numerical schema for solving the initial value problem for the Korteweg-de Vries equation for large times. Our approach is based upon the Inverse Scattering Transform that r...
The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation
KdV equation Gardner equation integrability multi-soliton stability
2011/2/25
Multi-soliton solutions of the Korteweg-de Vries equation (KdV)are shown to be globally L2-stable, and asymptotically stable in the sense of Martel-Merle [23]. The proof is surprisingly simple and com...
Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
Class of Non-homogeneous Boundary Value Problems Korteweg-de Vries Equation Finite Domain
2011/1/18
In this paper, we study a class of initial and boundary value problems proposed by Colin and Ghidalia for the Korteweg-de Vries equation posed on a bounded domain (0, L).We show that the initial-value...
Reciprocal link among the Qiao-Liu peakon equation and the modified Korteweg-de Vries equation
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph)
2010/11/10
This paper has been withdrawn by the author. The result is already known.
Solution of Time-Fractional Korteweg-de Vries Equation in warm Plasma
Time-Fractional Korteweg-de Vries warm Plasma
2010/4/6
The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude ion-acoustic waves. The Lagrangian of the time fractional KdV equation...
Phase Shift in the Whitham Zone for the Gurevich-Pitaevskii Special Solution of the Korteweg-de Vries Equation
nondissipative shock wave cusp catastrophe
2010/4/7
We get the leading term of the Gurevich-Pitaevskii special solution to the KdV equation in the oscillation zone without using averaging methods.
The modified Korteweg-de Vries equation in the theory of large-amplitude internal waves
modified Korteweg-de Vries equation theory of large-amplitude internal waves
2009/11/13
The propagation of large- amplitude internal waves in the ocean is studied here for the case when the nonlinear effects are of cubic order, leading to the modified Korteweg - de Vries equation. The co...
A Series of Variable Separation Solutions and New Soliton Structures of
(2+1)-Dimensional Korteweg-de Vries Equation
variable separation approach (2+1)-dimensional KdV equation new soliton
excitation
2007/8/15
2006Vol.46No.3pp.403-406DOI:
A Series of Variable Separation Solutions and New Soliton Structures of
(2+1)-Dimensional Korteweg-de Vries Equation
XU Chang-Zhi
Department...
Symmetry Reduction, Exact Solutions, and Conservation Laws
of (2+1)-Dimensional Burgers Korteweg-de Vries Equation
3D-BKdV equation classical Lie method direct method conservation laws
2007/8/15
2006Vol.46No.1pp.15-20DOI:
Symmetry Reduction, Exact Solutions, and Conservation Laws
of (2+1)-Dimensional Burgers Korteweg-de Vries Equation
DONG Zhong-Zhou,1 LIU Xi-Qiang,1 and ...
Lax pairs, Painlevé properties and exact solutions of the alogero Korteweg-de Vries equation and a new (2+1)-dimensional equation
Lax pairs Painlevé properties exact solutions the alogero Korteweg-de Vries equation
2010/11/1
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, we modify the T operator in the the Lax pair of the CKdV equation, in the search of a (2+1)-dimensio...