搜索结果: 1-6 共查到“数学 Korteweg-de Vries equation”相关记录6条 . 查询时间(0.078 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This paper has been withdrawn by the author.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.
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...