Article

Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions

U. A. HoitmetovUrgench State University, Department of Applied Mathematics and Mathematical PhysicsSh.Q. SobirovUrgench State University, Department of Applied Mathematics and Mathematical Physics

Журнал «Математические заметки СВФУ»journal2023

ABI

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.

Topics

Advanced Mathematical Physics Problems Nonlinear Waves and Solitons Differential Equations and Boundary Problems

Identifiers

DOI: 10.25587/svfu.2023.75.56.006

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Cited by 023 references

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