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A Finite Dimensional Integrable System Arising in the Study of Shock Clustering

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An Erratum to this article was published on 10 March 2017

Abstract

In this work, we consider a finite dimensional Hamiltonian system that contains as a special case an exact discretization of the Lax equation for shock clustering. We characterize the generic coadjoint orbits of the underlying Lie group and establish the Liouville integrability of the system on such orbits. We also solve the Hamiltonian equation explicitly via Riemann–Hilbert factorization problems.

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Authors and Affiliations

  1. Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA

    Luen-Chau Li

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  1. Luen-Chau Li
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Correspondence to Luen-Chau Li.

Additional information

Communicated by P. Deift

Dedicated to Percy Deift on the occasion of his 70th birthday

An erratum to this article is available at http://dx.doi.org/10.1007/s00220-017-2853-6.

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Li, LC. A Finite Dimensional Integrable System Arising in the Study of Shock Clustering. Commun. Math. Phys. 340, 1109–1142 (2015). https://doi.org/10.1007/s00220-015-2456-z

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  • DOI: https://doi.org/10.1007/s00220-015-2456-z

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