Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy

DOI10.1215/00127094-2019-0066zbMath1437.35617arXiv1806.00545OpenAlexW3101189885MaRDI QIDQ2178454

Deniz Bilman, Peter D. Miller, Liming Ling

Publication date: 11 May 2020

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00545

zbMATH Keywords

nonlinear Schrödinger equationRiemann-Hilbert problemsspectral singularitiesrogue wavesequations and hierarchies of Painlevé type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

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Uses Software

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Cites Work

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