Inverse scattering transform for the KPI equation on the background of a one-line soliton*

DOI10.1088/0951-7715/16/2/323zbMath1033.35097OpenAlexW2031847772MaRDI QIDQ4415746

A. K. Pogrebkov, Athanassios S. Fokas

Publication date: 6 August 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/16/2/323

zbMATH Keywords

initial value problemlinear integral equationeigenfunctionscattering dataKadomtsev-Petviashivili I 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) Fredholm integral equations (45B05) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Inverse problems for integral equations (45Q05)

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