Two-component {CH} system: Inverse Scattering, Peakons and Geometry

An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed...

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Veröffentlicht in:	arXiv.org 2010-09
Hauptverfasser:	Holm, D D, Ivanov, R I
Format:	Artikel
Sprache:	eng
Schlagworte:	Fluid dynamics Inverse scattering Mathematics - Mathematical Physics Partial differential equations Physics - Exactly Solvable and Integrable Systems Physics - Mathematical Physics Solitary waves
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data for CH2.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1009.5374