On the Cauchy problem for the two-component Camassa–Holm system

174 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Wave Breaking and Global Existence for a Generalized Two-Component Camassa–Holm System (2010, methodology): “Y. Liu was supported in part by NSF grant DMS-0906099.”
Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems (2016, background): “Well-posedness in Sobolev and Besov spaces was studied in [14], [25], [31] and [67].”
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system (2010, methodology): “This improves the wave-breaking criterion in [21] and [20], where the slopes of both components u and ρ must be considered.”