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Activities
On the peakon dynamical system of the second flow in the Camassa–Holm hierarchy
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Reporter:
Xiaomin Chen, Associate Professor, Beijing University of Technology
Inviter:
Xingbiao Hu, Professor
Subject:
On the peakon dynamical system of the second flow in the Camassa–Holm hierarchy
Time and place:
16:30-17:30 December 14(Saturday), N219
Abstract:

The Camassa–Holm hierarchy can be regarded as isospectral flows of the inhomogeneous string. In this talk, I will introduce a nonisospectral extension of the second flow in the Camassa–Holm hierarchy (GN2ndCH) together with its multipeakons based on classical determinant technique. It is shown that a reduction of the peakon dynamical system of the GN2ndCH equation results in the generalized nonisospectral 2mCH interlacing peakon dynamical system. Moreover, a special case of the proposed equation is investigated and a new phenomenon of 2-peakon is observed.