Article

Integration of the Loaded KdV Equation with a Self-Consistent Source of Integral Type in the Class of Rapidly Decreasing Complex-Valued Functions

U. A. HoitmetovKhorezm Branch of the Romanovskii Institute of Mathematics, Urgench State University, Urgench, 220100, Uzbekistan

Siberian Advances in Mathematicsjournal2022en

ABI

Abstract

We apply the inverse scattering method to integrating the loaded Korteweg–de Vries equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions.

Topics

Nonlinear Waves and Solitons Advanced Mathematical Physics Problems Numerical methods for differential equations

Identifiers

DOI: 10.1134/s1055134422020043

Citations and references

Cited by 7 11 references

Metrics — AkademScholar · Coming soon