ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS

DOI10.30546/2409-4994.47.2.250zbMath1481.34102OpenAlexW4200038810MaRDI QIDQ5863190

Umid Azadovich Hoitmetov, Aknazar B. Khasanov

Publication date: 11 March 2022

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.47.2.250

zbMATH Keywords

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

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (5)

Integration of the mKdV Equation with nonstationary coefficients and additional terms in the case of moving eigenvalues ⋮ Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions ⋮ Интегрирование модифицированного уравнения Кортевега - де Фриза с зависящими от времени коэффициентами и с самосогласованным источником ⋮ On the Cauchy problem for the mKdV-sine-Gordon equation with an additional term ⋮ Integration of the sine-Gordon equation with a source and an additional term

Cites Work

• Integration of a loaded Korteweg-de Vries equation in a class of periodic functions
• Propagation of nonlinear waves in a gas-liquid medium. Exact and approximate analytical solutions of wave equations
• Integrating the Korteweg-de Vries equation with a self-consistent source and ``steplike initial data
• On integration of Korteweg-de Vries equation in a class of rapidly decreasing complex-valued functions
• Integration of the nonlinear Korteweg-de Vries equation with an additional term
• Solution of an initial-boundary value problem for coupled nonlinear waves
• Method for Solving the Korteweg-deVries Equation
• Forced Nonlinear Evolution Equations and the Inverse Scattering Transform
• Integrals of nonlinear equations of evolution and solitary waves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS