Integration of the Kaup–Boussinesq system with a self-consistent source via inverse scattering method

DOI10.35634/vm220201OpenAlexW4291291708MaRDI QIDQ5040977

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Publication date: 18 October 2022

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu804

zbMATH Keywords

Kaup-Boussinesq systeminverse scattering methodself-consistent sourcenonlinear soliton equationquadratic pencil of Sturm-Liouville equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse problems for PDEs (35R30) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Time-dependent Schrödinger equations and Dirac equations (35Q41) Spectral theory for ordinary differential operators in the complex domain (34M46)

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