Integrating the Korteweg-de Vries equation with a self-consistent source and "steplike" initial data

被引：26

作者：

Urasboev, GU ^{[1
]}

Khasanov, AB ^{[1
]}

机构：

[1] Urgench State Univ, Urgench, Uzbekistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2001年 / 129卷 / 01期

关键词：

Initial Data; Real Line; Vries Equation; Liouville Operator; Scatter Method;

D O I：

10.1023/A:1012463310382

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that "steplike" solutions of the Korteweg-de Vries equation with a self-consistent source can be found by the inverse scattering method for the Sturm-Liouville operator on the entire real line.

引用

页码：1341 / 1356

页数：16

共 15 条

[1]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[2]

Buslaev V., 1962, VESTNIK LENINGRAD U, V17, P56

[3]

CALOGERO F, 1982, SPECTRAL TRANSFORM S, V1

[4] A COUNTEREXAMPLE IN THE INVERSE SCATTERING-THEORY FOR STEPLIKE POTENTIALS [J].

COHEN, A .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (08) :883-904

[5] INVERSE PROBLEM IN QUANTUM THEORY OF SCATTERING [J].

FADDEYEV, LD ;

SECKLER, B .

JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (01) :72-&

[6] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[7]

GUREVICH AV, 1973, JETP LETT+, V17, P193

[8]

GUREVICH AV, 1974, ZH EKSP TEOR FIZ, V38, P291

[9]

KHASANOV AB, 1995, DOKL AKAD NAUK UZBEK, P8

[10]

KHRUSLOV EY, 1978, MATH USSR SB, V28, P229

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