Integration of the sine-Gordon Equation with a Self-Consistent Source of the Integral Type in the Case of Multiple Eigenvalues

被引：0

作者：

Khasanov, A. B. ^{[1
]}

Urazboev, G. U. ^{[1
]}

机构：

[1] Urgench State Univ, Ul Kh Alimdzhana 14, Urgench 220100, Uzbekistan

来源：

RUSSIAN MATHEMATICS | 2009年 / 53卷 / 03期

关键词：

sine-Gordon equation; self-consistent source; Dirac-type operator; multiple eigenvalues; scattering data; inverse scattering method;

D O I：

10.3103/S1066369X09030037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is dedicated to the evolution of the scattering data for a Dirac-type nonself-adjoint operator with multiple eigenvalues whose potential is a solution of the sine-Gordon equation with a self-consistent source of the integral type.

引用

页码：45 / 55

页数：11

共 16 条

[1]

Ablowitz M. J., 1987, SOLITONS INVERSE SCA

[2] METHOD FOR SOLVING SINE-GORDON EQUATION [J].

ABLOWITZ, MJ ;

KAUP, DJ ;

NEWELL, AC ;

SEGUR, H .

PHYSICAL REVIEW LETTERS, 1973, 30 (25) :1262-1264

[3]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, DOI DOI 10.1137/1.9781611970883

[4]

DODD RK, 1988, SOLITONS NONLINEAR W

[5]

Dodd RK., 1982, SOLITONS NONLINEAR W

[6]

KARPMAN VI, 1977, ZH EKSP TEOR FIZ+, V73, P537

[7]

Khasanov A. B., 2006, ZH MATEM FIZ ANALIZA, V2, P287

[8]

Khasanov A. B., 2003, UZBEK MATH J, P53

[9]

Khasanov A. B., 1984, SOV PHYS DOKL, V277, P559

[10]

Lyantse V. E., 1969, LINEAR DIFFERENTIAL

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