Article

On Integration of Korteweg–de Vries Equation in a Class of Rapidly Decreasing Complex-Valued Functions

А. Б. ХасановUrgench State University, ul. Alimdzhana 14, Urgench, 220100, Republic of UzbekistanU. A. Hoitmetov

Russian Mathematicsjournal2018en

ABI

Abstract

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

Topics

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

Identifiers

DOI: 10.3103/s1066369x1803009x

Citations and references

Cited by 18 9 references

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