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

作者：Li Luen Chau^*

来源：Communications in Mathematical Physics, 2015, 340(3): 1109-1142.

DOI：10.1007/s00220-015-2456-z

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.

• 出版日期2015-12