The inverse spectral transform for the Dunajski hierarchy and some of its reductions: I. Cauchy problem and longtime behavior of solutions

DOI10.1088/1751-8113/48/21/215203zbMath1331.35313arXiv1502.04595OpenAlexW3105799711MaRDI QIDQ5256058

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Publication date: 22 June 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04595

zbMATH Keywords

dispersionless PDEsinverse spectral transformRiemann-Hilbert data

Mathematics Subject Classification ID

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) Inverse problems for PDEs (35R30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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