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

Luen Chau Li

doi:10.1007/s00220-015-2456-z

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

Luen Chau Li

Mathematics

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

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1109-1142
Number of pages	34
Journal	Communications In Mathematical Physics
Volume	340
Issue number	3
DOIs	https://doi.org/10.1007/s00220-015-2456-z
State	Published - Dec 1 2015

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s00220-015-2456-z

Cite this

@article{a63d334973fe451981eb9e5a0efec402,

title = "A Finite Dimensional Integrable System Arising in the Study of Shock Clustering",

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.",

author = "Li, {Luen Chau}",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2015",

month = dec,

day = "1",

doi = "10.1007/s00220-015-2456-z",

language = "English (US)",

volume = "340",

pages = "1109--1142",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - A Finite Dimensional Integrable System Arising in the Study of Shock Clustering

AU - Li, Luen Chau

PY - 2015/12/1

Y1 - 2015/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84943660046&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84943660046&partnerID=8YFLogxK

U2 - 10.1007/s00220-015-2456-z

DO - 10.1007/s00220-015-2456-z

M3 - Article

AN - SCOPUS:84943660046

SN - 0010-3616

VL - 340

SP - 1109

EP - 1142

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this