Integration of the loaded Korteweg-de Vries equation in the class of rapidly decreasing complex-valued functions

DOI10.29229/UZMJ.2020-4-6zbMath1499.35537OpenAlexW4247874171MaRDI QIDQ5011588

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Publication date: 27 August 2021

Published in: Uzbek Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29229/uzmj.2020-4-6

zbMATH Keywords

Sturm-Liouville operatorJost solutionsinverse scattering theoryevolution of the scattering dataGelfand-Levitan-Marchenko integral equationloaded Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory of linear operators (47A40)

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