Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions
https://doi.org/10.25587/SVFU.2023.75.56.006
Abstract
We consider the Cauchy problem for a loaded modified Korteweg–de Vries equation with a self-consistent source. The evolution of the scattering data of the Dirac operator, whose potential is a solution of the loaded modified Korteweg–de Vries equation with a self-consistent source in the class of rapidly decreasing functions, is derived. A specific example is given to illustrate the application of the obtained results.
About the Authors
U. A. Hoitmetov
Urgench State University, Department of Applied Mathematics and Mathematical Physics
Uzbekistan
Uzbekistan
Umid A. Hoitmetov
14 Kh. Alimdjan Street, Urgench, 220100, Uzbekistan
Sh. Q. Sobirov
Urgench State University, Department of Applied Mathematics and Mathematical Physics
Uzbekistan
Uzbekistan
Shekhzod Q. Sobirov
14 Kh. Alimdjan Street, Urgench, 220100, Uzbekistan
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Review
For citations:
Hoitmetov U.A., Sobirov Sh.Q. Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions. Mathematical notes of NEFU. 2023;30(2):75-91. (In Russ.) https://doi.org/10.25587/SVFU.2023.75.56.006
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