BACKLUND TRANSFORMATION FOR SOLUTIONS OF KORTEWEG-DE VRIES EQUATION

被引：351

作者：

WAHLQUIST, HD ^{[1
]}

ESTABROOK, FB ^{[1
]}

机构：

[1] CALTECH, JET PROP LAB, PASADENA, CA 91103 USA

来源：

PHYSICAL REVIEW LETTERS | 1973年 / 31卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.31.1386

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：1386 / 1390

页数：5

共 18 条

[1] EXACT MULTISOLUTION SOLUTIONS OF SELF-INDUCED TRANSPARENCY AND SINE-GORDON EQUATIONS [J].

CAUDREY, PJ ;

GIBBON, JD ;

EILBECK, JC ;

BULLOUGH, RK .

PHYSICAL REVIEW LETTERS, 1973, 30 (06) :237-238

[2] ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].

COLE, JD .

QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236

[3]

Eisenhart L., 1960, TREATISE DIFFERENTIA

[4]

FORSYTH AR, 1959, THEORY DIFFERENTIAL, V6, pCH21

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

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

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

[6] EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].

HIROTA, R .

PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+

[7] THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].

HOPF, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230

[8] WEAK NONLINEAR DISPERSIVE WAVES - DISCUSSION CENTERED AROUND KORTEWEG-DE VRIES EQUATION [J].

JEFFREY, A ;

KAKUTANI, T .

SIAM REVIEW, 1972, 14 (04) :582-+

[9] NONLINEAR WAVES [J].

KADOMTSEV, BB ;

KARPMAN, VI .

SOVIET PHYSICS USPEKHI-USSR, 1971, 14 (01) :40-+

[10]

KADOMTSEV BB, 1971, USP FIZ NAUK, V103, P193

← 1 2 →