Two-component CH system: Inverse scattering, peakons and geometry

D. D. Holm; R. I. Ivanov

doi:10.1088/0266-5611/27/4/045013

Two-component CH system: Inverse scattering, peakons and geometry

D. D. Holm, R. I. Ivanov

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	045013
Journal	Inverse Problems
Volume	27
Issue number	4
DOIs	https://doi.org/10.1088/0266-5611/27/4/045013
Publication status	Published - Apr 2011

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title = "Two-component CH system: Inverse scattering, peakons and geometry",

abstract = "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.",

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AB - 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.

UR - https://www.scopus.com/pages/publications/79953646584

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JO - Inverse Problems

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Two-component CH system: Inverse scattering, peakons and geometry

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