Integration of the KdV equation of negative order with a free term in the class of periodic functions
https://doi.org/10.22405/2226-8383-2023-24-2-266-275
Abstract
In this paper, we consider the KdV equation of negative order with a free term in the class of periodic functions. It is shown that the KdV equation of negative order with a free term in the class of periodic functions can be integrated by the method of the inverse spectral problem.
The evolution of the spectral data of the Sturm-Liouville operator with a periodic potential associated with the solution of a negative-order KdV equation with a free term in the class of periodic functions is determined. The results obtained make it possible to apply the inverse
problem method to the solution of the KdV equation of negative order with a free term in the class of periodic functions.
About the Authors
Muzaffar Maksharipovich Khasanov
Urganch State University
Uzbekistan
Uzbekistan
candidate of physical and mathematical sciences
Ilkhom Davronbekovich Rakhimov
Urganch State University
Uzbekistan
Uzbekistan
postgraduate student
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Review
For citations:
Khasanov M.M., Rakhimov I.D. Integration of the KdV equation of negative order with a free term in the class of periodic functions. Chebyshevskii Sbornik. 2023;24(2):266-275. (In Russ.) https://doi.org/10.22405/2226-8383-2023-24-2-266-275
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