搜索结果: 1-15 共查到“理学 Korteweg-de Vries”相关记录18条 . 查询时间(0.137 秒)
Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
Spectral stability periodic wave trains Korteweg-de Vries/Kuramoto-Sivashinsky equation Korteweg-de Vries limit
2012/3/1
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation $ \partial_t v+v\partial_x v+\partial_x^3 v+\delta(\partial_x^2 v +\partial_x...
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This paper has been withdrawn by the author.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...
Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface
Higher-order Korteweg-de Vries models internal solitary waves stratified shear flow
2009/11/12
A higher-order extension of the familiar Korteweg-de Vries equation is derived for internal solitary waves in a density- and current-stratified shear flow with a free surface. All coefficients of this...
Asymptotics for the Korteweg-de Vries-Burgers Equation
Korteweg--de Vries--Burgers equation asymptotics for large time large initial data
2007/12/11
We study large time asymptotics of solutions to the Korteweg--de Vries--Burgers equation $$ u_{t}+uu_{x}-u_{xx}+u_{xxx}=0,\text{ }x\in \mathbf{R,}\text{ }t>0. $$ \no We are interested in the large tim...
Localized Excitations of (2+1)-Dimensional Korteweg-de Vries System Derived from a Periodic Wave Solution
improved projective approach KdV system chaos soliton fractal
2007/8/15
2007Vol.47No.2pp.275-281DOI:
Localized Excitations of (2+1)-Dimensional Korteweg-de Vries System Derived from a Periodic Wave Solution
QIANG Ji-Ye,1,2 FEI Jin-Xi,1 CAI Gui-Ping,3...
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 ...
Coupled Modified Korteweg-de Vries Lattice in (2+1) Dimensions and Soliton
Solutions
modified Korteweg-de Vries lattice Darboux transformation soliton solutions
2007/8/15
2006Vol.45No.4pp.581-586DOI:
Coupled Modified Korteweg-de Vries Lattice in (2+1) Dimensions and Soliton
Solutions
YANG Hong-Xiang,1 LI Xiu-Zhen,2 XU Xi-Xiang,3 and DING Hai-Yong4
...