Integration of the nonlinear Korteweg-de Vries equation with an additional term

DOI10.1134/S0040577920050037zbMath1450.37063OpenAlexW3029350741MaRDI QIDQ2193727

M. M. Matyakubov, Aknazar B. Khasanov

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920050037

zbMATH Keywords

Sturm-Liouville operatorinverse spectral problemtrace formulaKorteweg-de Vries equationLax pairadditional termDubrovin system of equations

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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items

On the modified Korteweg-de-Vries equation with loaded term, Integration of the periodic Harry Dym equation with a source, On complex-valued solutions of the general loaded Korteweg-de Vries equation with a source, Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions, Integration of the Kaup-Boussinesq system with time-dependent coefficients, Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions, Integration of the modified Korteweg-de Vries-Liouville equation in the class of periodic infinite-gap functions, Unnamed Item, Unnamed Item, Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions, ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS

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