MULTI-SOLITON SOLUTIONS OF THE MATRIX KORTEWEG-DE VRIES EQUATION WITH SELF-CONSISTENT SOURCE

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31 Oktabr 2019

Main language:English

MULTI-SOLITON SOLUTIONS OF THE MATRIX KORTEWEG-DE VRIES EQUATION WITH SELF-CONSISTENT SOURCE

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Zamonaviy fan taʼlim va tarbiyaning dolzarb muammolari ilmiy elektron jurnali

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In this paper we propose a method for finding multi-soliton solutions of the matrix Korteweg-de Vries equation with a self-consistent source

AUTHORS

G.Urazbev

UrDU

U.Hoitmetov

(Urgench branch of the TUIT)

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https://eroi.uz/11.0021/A1019-0352

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Not Available

References

Mel‘nikov V. K. A direct method for deriving a multi-soliton solution for the problem of interaction ofwaves on the x, y plane Commun. Math. Phys. 112 (1987) 639-652

Mel‘nikov V.K. Integration method of the KdV equation with a selfconsistent source Phys. Lett.A 133 (1988) 493

Mel'nikov V.K. Integration of the nonlinear Schroedinger equation with a self-consistent source Commun. Math.Phys.137(1991) 359

Leon J. and Latifi A. Solution of an initial-boundary value problem for coupled nonlinear waves J. Phys.A: Math. Gen. 23(1990)1385

Shchesnovich V.S. and Doktorov E.V. Modified Manakov system with self-consistent source Phys. Lett.A 213 (1996)23

Lax P.D. Integrals of Nonlinear Equations of Evolution and Solitary WavesCommun. Pure and Appl. Math., 21 (1968), 467

Martinez Alonso L., Olmedilla E., Trace identities in the inverse scattering transform method associated with matrix Schrödinger operatorsJ. Math. Phys., 23:11 (1982), 2116

MULTI-SOLITON SOLUTIONS OF THE MATRIX KORTEWEG-DE VRIES EQUATION WITH SELF-CONSISTENT SOURCE

Zamonaviy fan taʼlim va tarbiyaning dolzarb muammolari ilmiy elektron jurnali

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