On classical solutions of the KdV equation

DOI10.1112/plms.12326zbMath1448.35444arXiv1905.08372OpenAlexW3104976511MaRDI QIDQ5109412

Alexei Rybkin, Sergei M. Grudsky

Publication date: 12 May 2020

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08372

zbMATH Keywords

KdV equationunique classical solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (11)

The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ Soliton asymptotics for the KdV shock problem via classical inverse scattering ⋮ The binary Darboux transformation revisited and KdV solitons on arbitrary short‐range backgrounds ⋮ A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation ⋮ The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy ⋮ Realization of the inverse scattering transform method for the Korteweg–de Vries equation ⋮ Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equation ⋮ A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions ⋮ Tau functions associated with linear systems ⋮ Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data ⋮ Grassmannian flows and applications to non-commutative non-local and local integrable systems

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