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- Title
On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source.
- Authors
Khasanov, A. B.; Hoitmetov, U. A.
- Abstract
Using the inverse scattering method, we derive the evolution of the scattering data of a nonself-adjoint Sturm–Liouville operator whose potential is a solution of the general loaded Korteweg–de Vries equation with a self-consistent source in the class of rapidly decaying complex-valued functions. An example is given to illustrate the application of the results obtained.
- Subjects
KORTEWEG-de Vries equation; INVERSE scattering transform; SCATTERING (Mathematics)
- Publication
Differential Equations, 2022, Vol 58, Issue 3, p381
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266122030089