Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
复制标题
二分量修正 Camassa-Holm 方程的多峰值及其与有限 Kac-van Moerbeke 晶格的关系
DOI：
10.1016/j.aim.2016.05.004
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发表时间：
2015-12
影响因子：
1.7
通讯作者：
Jacek Szmigielski
中科院分区：
文献类型：
--
作者：
Xiangke Chang;Xingbiao Hu;Jacek Szmigielski
A spectral and the inverse spectral problem are studied for the two-component modified Camassa–Holm type for measures associated to interlacing peaks. It is shown that the spectral problem is equivalent to an inhomogeneous string problem with Dirichlet/Neumann boundary conditions. The inverse problem is solved by Stieltjes's continued fraction expansion, leading to an explicit construction of peakon solutions. Sufficient conditions for global existence of solutions are given. The large time asymptotics reveals that, asymptotically, peakons pair up to form bound states moving with constant speeds. The peakon flow is shown to project to one of the isospectral flows of the finite Kac–van Moerbeke lattice.
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影响因子：
2.4
作者：
J. Lenells;G. Misiołek;F. Tiglay
通讯作者：
J. Lenells;G. Misiołek;F. Tiglay
影响因子：
1.2
作者：
Chen, M;Liu, SQ;Zhang, YJ
通讯作者：
Zhang, YJ
影响因子：
1.3
作者：
V. Marinakis
通讯作者：
V. Marinakis
影响因子：
2.1
作者：
R. Beals;D. Sattinger;J. Szmigielski
通讯作者：
R. Beals;D. Sattinger;J. Szmigielski
DOI：
10.1088/1751-8113/41/37/372002
发表时间：
2008-05
期刊：
Journal of Physics A: Mathematical and Theoretical
影响因子：
--
作者：
A. Hone;Jing Ping Wang
通讯作者：
A. Hone;Jing Ping Wang