Integration of the negative order Korteweg–de Vries equation with a self-consistent source in the class of periodic functions
DOI10.35634/vm220205OpenAlexW4291291724MaRDI QIDQ5040983
Muzaffar Masharipovich Khasanov, Gaĭrat Urazalievich Urazboev
Publication date: 18 October 2022
Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/vuu808
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integration of a loaded Korteweg-de Vries equation in a class of periodic functions
- Integration of the modified Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
- The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
- The periodic problem for the Korteweg-de Vries equation
- Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
- Integrating the Korteweg-de Vries equation with a self-consistent source and ``steplike initial data
- Necessary and sufficient conditions for the spectra of the Sturm-Liouville operators with frozen argument
- The periodic solutions of the discrete modified KdV equation with a self-consistent source
- 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
- Integration of the matrix KdV equation with self-consistent source
- Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition
- Solution of an initial-boundary value problem for coupled nonlinear waves
- Negative powers of Olver recursion operators
- Periodic solutions of the KdV equation
- A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR
- THE PERIODIC KORTEWEG-de VRIES PROBLEM
- The inverse problem for periodic potentials
- Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
- Method for Solving the Korteweg-deVries Equation
- Quasi-periodic solutions to a negative-order integrable system of 2-component KdV equation
- Integration of the Harry Dym equation with an integral type source
- Negative-order KdV equations in (3+1) dimensions by using the KdV recursion operator
This page was built for publication: Integration of the negative order Korteweg–de Vries equation with a self-consistent source in the class of periodic functions