The Benjamin-Ono hierarchy with asymptotically reflectionless initial data in the zero-dispersion limit

DOI10.4310/CMS.2012.v10.n1.a6zbMath1291.35229arXiv1101.0784OpenAlexW2963405091MaRDI QIDQ357493

Peter D. Miller, Zhengjie Xu

Publication date: 30 July 2013

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0784

zbMATH Keywords

Benjamin-Ono equationintegrable hierarchiesinternal wavesdispersionless asymptotics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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