The Kadomtsev-Petviashvili II equation on the half-plane

DOI10.1016/j.physd.2010.11.005zbMath1216.35121arXiv1006.0458OpenAlexW2144487790MaRDI QIDQ633712

Athanassios S. Fokas, Dionyssios Mantzavinos

Publication date: 29 March 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0458

zbMATH Keywords

spectral analysis\(d\)-barintegrable nonlinear PDE

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)

Related Items (8)

Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersion ⋮ Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method ⋮ The linear Lugiato-Lefever equation with forcing and nonzero periodic or nonperiodic boundary conditions ⋮ Construction of rogue waves and conservation laws of the complex coupled Kadomtsev–Petviashvili equation ⋮ Elliptic PDEs with constant coefficients on convex polyhedra via the unified method ⋮ Fokas method for linear boundary value problems involving mixed spatial derivatives ⋮ Nonlinear Fourier Transforms and the mKdV Equation in the Quarter Plane ⋮ The d-bar formalism for the modified Veselov-Novikov equation on the half-plane

Cites Work

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