On a spectral transform of a KDV-like equation related to the Schrodinger operator in the plane

DOI10.1088/0266-5611/3/1/008zbMath0624.35071OpenAlexW1972961694MaRDI QIDQ3762743

F. Pempinelli, J. Leon, M. Boiti, M. A. Manna

Publication date: 1987

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/3/1/008

zbMATH Keywords

inverse problemCauchy problemSchrödinger operatornonlinear evolution equationKorteweg-de Vriesscattering schemereconstructing the potentialcomplex spectral parameterKdV- like equationSpectral data

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for nonlinear higher-order PDEs (35G25) Partial differential equations of mathematical physics and other areas of application (35Q99)

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