2010
DOI: 10.1016/j.nonrwa.2010.05.003
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On a two-component Degasperis–Procesi shallow water system

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Cited by 25 publications
(15 citation statements)
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“…Recently, for the two-component Camassa-Holm system, such analogous results have been obtained by Henry in [29]. Recently Guo has proved this relevant property on the weakly Degasperis-Procesi equation and the two-component Degasperis-Procesi system in [30,24], respectively. The proof is very similar to that given by Guo, consequently, in this article we would like to omit the proof of this theorem.…”
Section: Theorem 43supporting
confidence: 66%
See 1 more Smart Citation
“…Recently, for the two-component Camassa-Holm system, such analogous results have been obtained by Henry in [29]. Recently Guo has proved this relevant property on the weakly Degasperis-Procesi equation and the two-component Degasperis-Procesi system in [30,24], respectively. The proof is very similar to that given by Guo, consequently, in this article we would like to omit the proof of this theorem.…”
Section: Theorem 43supporting
confidence: 66%
“…For ρ ̸ = 0, if k 1 = 3, system (1.1) becomes the two-component Degasperis-Procesi system. In [24], Jin and Guo discussed some aspects of the existence of global solutions, persistence properties and propagation speed.…”
Section: Introductionmentioning
confidence: 99%
“…For completeness, we list them and skip their proofs for conciseness. Local well-posedness for (1.1) can be obtained by Kato's semigroup theory [23]. In [12], the authors gave a detailed description on well-posedness theorem.…”
Section: Preliminariesmentioning
confidence: 99%
“…where η = The 2-component Degasperis-Procesi shallow water system [20] and [10], can be expressed in the…”
mentioning
confidence: 99%