The KPI equation with unconstrained initial data

DOI10.1007/BF00994633zbMath0830.35113OpenAlexW4243075083MaRDI QIDQ1896395

A. K. Pogrebkov, M. Boiti, F. Pempinelli

Publication date: 27 August 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00994633

zbMATH Keywords

Kadomtsev-Petviashvili equationspectral transform

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) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

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• Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation
• Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and the KPI equation
• On the evolution of packets of water waves
• Resolvent approach for the nonstationary Schrodinger equation
• On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
• Solutions of the KPI equation with smooth initial data
• Properties of solutions of the Kadomtsev–Petviashvili I equation