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Painleve Properties and Solution of Revised Camassa-Holm Equation
revised Camassa-Holm equation standard cut-ex pansion non-standard cut-expansion precise solution
2012/9/24
Expansion of Painlevé is one of most effictive methods for solving non-linear partial differential equations. In this paper, using the Painlevé standard and non-standard cut-expansion as well as Maple...
Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation
A periodic 2-component Camassa-Holm equation global existence blow-up blow-up rate
2011/10/17
We first establish local well-posedness for a periodic 2-component Camassa-Holm equation. We then present two global existence results for strong solutions to the equation. We finally obtain several b...
On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation
Generalized periodic Camassa-Holm equation Wave-breaking Global existence
2011/9/9
Abstract: Considered herein is the initial-value problem for the generalized periodic Camassa-Holm equation which is related to the Camassa-Holm equation and the Hunter-Saxton equation. Sufficient con...
Integrable discretizations for the short wave model of the Camassa-Holm equation
Integrable discretizations short wave Camassa-Holm equation
2010/4/2
The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-cuspon solution of th...