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Geometric Ergodicity & Scanning Strategies For Two-Component Gibbs Samplers
Geometric Ergodicity Scanning Strategies Two-Component Gibbs Samplers
2012/9/23
In any Markov chain Monte Carlo analysis, rapid convergence of the chain to its target probability distribution is of practical and theoretical importance. A chain that converges at a geometric rate i...
The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
Two-Component Camassa-Holm Equations CH(2,1) CH(2,2) First-Order Integrating Factors Conservation Laws Exactly Solvable and Integrable Systems
2012/4/17
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: g...
Blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system
A periodic two-component Hunter-Saxton system blow-up scenario blow-up
2010/12/31
This paper is concerned with blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system. We first derive precise blow-up scenarios for strong solutions to the system. The...
On the Cauchy problem of a two-component b-family equation
A two-component b-family equation well-posedness blow-up scenario
2010/12/31
In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato’s semigroup theory. Then, we ...
Global existence for the generalized two-component Hunter-Saxton system
Generalized Hunter-Saxton system global existence blow-up scenario
2010/9/1
e study the global existence of solutions to a two-component generalized Hunter-Saxton system in the periodic setting. We first prove a persistence result of the solutions. Then for some particular ch...
Two-component generalizations of the periodic Camassa-Holm and Degasperis-Procesi equations
Camassa–Holm equation Degasperis–Procesi equation semidirect product geodesic flow
2010/9/1
We use geometric methods to study two natural two-component generalizations of the periodic Camassa–Holm and Degasperis–Procesi equations.
Stability of solitary waves of a generalized two-component Camassa-Holm system
Stability of solitary waves generalized two-component Camassa-Holm system
2010/9/1
We study here the existence of solitary wave solutions of a generalized twocomponent Camassa-Holm system. In addition to those smooth solitary-wave solutions,we show that there are solitary waves with...
Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Two-component {CH} system Inverse Scattering Peakons and Geometry
2010/9/1
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equa-tion. As an illustration of the ...
Stable Vortex-Bright Soliton Structures in Two-Component Bose Einstein Condensates
Soliton Structures topological charge Two-Component Bose Einstein Condensates
2010/1/27
We report the numerical realization and demonstration of robustness of certain 2-component structures in Bose-Einstein Condensates in 2 and 3 spatial dimensions with non-trivial topological charge in ...
Darboux transformation for two component derivative nonlinear Schrödinger equation
Darboux transformation solitons DNLS
2009/11/25
In this paper, we consider the two component derivative nonlinear Schr\"{o}dinger equation and present a simple Darboux transformation for it. By iterating this Darboux transformation, we construct a ...