Global well-posedness in the energy space for a modified KP II equation via the Miura transform

DOI10.1090/S0002-9947-06-04072-4zbMath1106.35082OpenAlexW1948171209MaRDI QIDQ3373718

Carlos E. Kenig, Yvan Martel

Publication date: 8 March 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04072-4

zbMATH Keywords

initial value problemglobal well-posednessmodified Kadomtsev-Petviashvili II equation

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) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (7)

Transverse stability issues in Hamiltonian PDE ⋮ Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ Computational and numerical solutions for \((2+1)\)-dimensional integrable Schwarz-Korteweg-de Vries equation with Miura transform ⋮ Stability of the line soliton of the KP-II equation under periodic transverse perturbations ⋮ The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation ⋮ IST Versus PDE: A Comparative Study ⋮ \(L^2\)-stability of multi-solitons

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