The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step-like initial profile decaying on the right half line

DOI10.1088/0951-7715/24/10/015zbMath1229.49026arXiv1012.0052OpenAlexW3100591295MaRDI QIDQ3094803

Publication date: 27 October 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0052

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Schrödinger operator, Schrödinger equation (35J10) Soliton equations (35Q51) Integral operators (47G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

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