On a class of singular solutions to the Korteweg-de Vries equation

DOI10.1134/S1064562410060256zbMath1217.35165MaRDI QIDQ542337

Pohozaev, Stanislav I.

Publication date: 8 June 2011

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemsingular solutionKorteweg-de Vries equationself-focusing phenomena

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (2)

Blowup of solutions of a Korteweg-de Vries-type equation ⋮ Blowing-up solutions of the time-fractional dispersive equations

Cites Work

• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• Existence of blow-up solutions in the energy space for the critical generalized KdV equation
• The Korteweg–deVries Equation: A Survey of Results
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

This page was built for publication: On a class of singular solutions to the Korteweg-de Vries equation