Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions

DOI10.3103/S1066369X21070069zbMath1489.35239OpenAlexW3189063358MaRDI QIDQ2234443

Yanyan Li

Publication date: 19 October 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21070069

zbMATH Keywords

Sturm-Liouville operatorKorteweg-de Vries equationJost solutionGelfand-Levitan-Marchenko integral equationinverse problem of scattering theory

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Sturm-Liouville theory (34B24) Inverse problems for PDEs (35R30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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