On integration of Korteweg-de Vries equation in a class of rapidly decreasing complex-valued functions

DOI10.3103/S1066369X1803009XzbMath1393.35207OpenAlexW2801594104MaRDI QIDQ1646396

U. A. Khoitmetov, Aknazar B. Khasanov

Publication date: 25 June 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x1803009x

zbMATH Keywords

Sturm-Liouville operatorKorteweg-de Vries equationJost solutionsinverse scattering problemGelfand-Levitan-Marchenko integral equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Integral equations with miscellaneous special kernels (45H05)

Related Items (9)

On the modified Korteweg-de-Vries equation with loaded term ⋮ 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 nonlinear Korteweg-de Vries equation with an additional term ⋮ 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 ⋮ Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions ⋮ ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS

Cites Work

• Forced Nonlinear Evolution Equations and the Inverse Scattering Transform
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves
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